<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article  PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "http://dtd.nlm.nih.gov/publishing/3.0/journalpublishing3.dtd"><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" dtd-version="3.0" xml:lang="en" article-type="research article"><front><journal-meta><journal-id journal-id-type="publisher-id">OALibJ</journal-id><journal-title-group><journal-title>Open Access Library Journal</journal-title></journal-title-group><issn pub-type="epub">2333-9705</issn><publisher><publisher-name>Scientific Research Publishing</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.4236/oalib.1101263</article-id><article-id pub-id-type="publisher-id">OALibJ-68015</article-id><article-categories><subj-group subj-group-type="heading"><subject>Articles</subject></subj-group><subj-group subj-group-type="Discipline-v2"><subject>Biomedical&amp;Life Sciences</subject><subject> Business&amp;Economics</subject><subject> Chemistry&amp;Materials Science</subject><subject> Computer Science&amp;Communications</subject><subject> Earth&amp;Environmental Sciences</subject><subject> Engineering</subject><subject> Medicine&amp;Healthcare</subject><subject> Physics&amp;Mathematics</subject><subject> Social Sciences&amp;Humanities</subject></subj-group></article-categories><title-group><article-title>
 
 
  Astrophysical Radiative Neutron Capture on &lt;sup&gt;10&lt;/sup&gt;B Taking into Account Resonance at 475 keV
 
</article-title></title-group><contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>S.</surname><given-names>B. Dubovichenko</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>A.</surname><given-names>V. Dzhazairov-Kakhramanov</given-names></name><xref ref-type="aff" rid="aff2"><sup>2</sup></xref><xref ref-type="corresp" rid="cor1"><sup>*</sup></xref></contrib></contrib-group><aff id="aff1"><addr-line>V. G. Fessenkov Astrophysical Institute “NCSRT” NSA, Almaty, Kazakhstan</addr-line></aff><aff id="aff2"><addr-line>Institute of Nuclear Physics CAE MINT RK, Almaty, Kazakhstan</addr-line></aff><author-notes><corresp id="cor1">* E-mail:<email>albert-j@yandex.ru(AVD)</email>;</corresp></author-notes><pub-date pub-type="epub"><day>01</day><month>01</month><year>2015</year></pub-date><volume>02</volume><issue>01</issue><fpage>1</fpage><lpage>13</lpage><history><date date-type="received"><day>7</day>	<month>January</month>	<year>2015</year></date><date date-type="rev-recd"><day>accepted</day>	<month>23</month>	<year>January</year>	</date><date date-type="accepted"><day>27</day>	<month>January</month>	<year>2015</year></date></history><permissions><copyright-statement>&#169; Copyright  2014 by authors and Scientific Research Publishing Inc. </copyright-statement><copyright-year>2014</copyright-year><license><license-p>This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/</license-p></license></permissions><abstract><p>
 
 
   
   The possibility of the description of the available experimental data for cross sections of the neutron capture reaction on 
   <sup>10</sup>
   B at thermal and astrophysical energies, taking into account the resonance at 475 keV, was considered within the framework of the modified potential cluster model with forbidden states and accounting for the resonance behavior of the scattering phase shifts. 
  
 
</p></abstract><kwd-group><kwd>Nuclear Astrophysics</kwd><kwd> Primordial Nucleosynthesis</kwd><kwd> Light Atomic Nuclei</kwd><kwd> Low and Astrophysical Energies</kwd><kwd> Radiative Capture</kwd><kwd> Thermonuclear Processes</kwd></kwd-group></article-meta></front><body><sec id="s1"><title>1. Introduction</title><p>Light radioactive nuclei play an important role in many astrophysical occurrences. Such parameter as a total cross section of the capture reactions as a function of energy is very important for investigation of many astrophysical problems such as primordial nucleosynthesis of the universe, main trends of stellar evolution, novae and super-novae explosions, X-ray bursts, etc. The continued interest in the study of processes of radiative neutron capture on light nuclei at thermal and astrophysical energies is caused by several reasons. Firstly, this pro- cess plays a significant part in the study of many fundamental properties of nuclear reactions; and secondly, the data on the capture cross sections are widely used in a various applications of nuclear physics and nuclear astrophysics, for example, in the process of studying of the primordial nucleosynthesis reactions.</p><p>One extremely successful line of development of nuclear physics in the last 50 years has been the microscopic model known as the Resonating Group Method (RGM, see, for example, [<xref ref-type="bibr" rid="scirp.68015-ref1">1</xref>] - [<xref ref-type="bibr" rid="scirp.68015-ref5">5</xref>] ), and the associated Generator Coordinate Method (GCM, see, particularly, [<xref ref-type="bibr" rid="scirp.68015-ref5">5</xref>] [<xref ref-type="bibr" rid="scirp.68015-ref6">6</xref>] ) or algebraic version of RGM [<xref ref-type="bibr" rid="scirp.68015-ref7">7</xref>] .</p><p>However, the possibilities offered by a simple two-body potential cluster model (PCM) have not been studied fully up to now, particularly if it uses the concept of forbidden states (FSs) [<xref ref-type="bibr" rid="scirp.68015-ref8">8</xref>] , and considers directly the resonance behavior of the elastic scattering phase shifts of interacting particles at low energies [<xref ref-type="bibr" rid="scirp.68015-ref9">9</xref>] [<xref ref-type="bibr" rid="scirp.68015-ref10">10</xref>] . Such a model can be called a modified PCM (MPCM). The rather difficult RGM calculations are not the only way in which to explain the available experimental facts. The simpler MPCM with FSs can be used by taking into account the classification of orbital states according to the Young tableaux and the resonance behavior of the elastic scattering phase shifts. In many cases, such an approach, as has been shown previously [<xref ref-type="bibr" rid="scirp.68015-ref9">9</xref>] [<xref ref-type="bibr" rid="scirp.68015-ref10">10</xref>] , allows one to obtain adequate results in the description of many experimental data for the total cross sections of the thermonuclear capture process.</p><p>Particularly, in works of [<xref ref-type="bibr" rid="scirp.68015-ref11">11</xref>] [<xref ref-type="bibr" rid="scirp.68015-ref12">12</xref>] , we have shown the possibility of description the Coulomb form-factors of lithium nuclei on the basis of potential cluster model [<xref ref-type="bibr" rid="scirp.68015-ref9">9</xref>] [<xref ref-type="bibr" rid="scirp.68015-ref13">13</xref>] [<xref ref-type="bibr" rid="scirp.68015-ref14">14</xref>] . As we have just said, this model takes into account forbidden states [<xref ref-type="bibr" rid="scirp.68015-ref13">13</xref>] - [<xref ref-type="bibr" rid="scirp.68015-ref18">18</xref>] in the intercluster potentials, which are determined on the basis of the classification according to Young tableaux and were used by us in [<xref ref-type="bibr" rid="scirp.68015-ref19">19</xref>] [<xref ref-type="bibr" rid="scirp.68015-ref20">20</xref>] . Furthermore, in [<xref ref-type="bibr" rid="scirp.68015-ref21">21</xref>] [<xref ref-type="bibr" rid="scirp.68015-ref22">22</xref>] , we show the possibility of the correct reproduction practically all characteristics of <sup>6</sup>Li, including its quadrupole moment in the potential cluster model with tensor forces [<xref ref-type="bibr" rid="scirp.68015-ref15">15</xref>] . And finally, in [<xref ref-type="bibr" rid="scirp.68015-ref9">9</xref>] [<xref ref-type="bibr" rid="scirp.68015-ref13">13</xref>] [<xref ref-type="bibr" rid="scirp.68015-ref14">14</xref>] [<xref ref-type="bibr" rid="scirp.68015-ref23">23</xref>] - [<xref ref-type="bibr" rid="scirp.68015-ref41">41</xref>] , the possibility of description of the astrophysical S-factors or the total cross sections of the radiative capture for n<sup>2</sup>H, p<sup>2</sup>H, p<sup>3</sup>H, n<sup>6</sup>Li, p<sup>6</sup>Li, n<sup>7</sup>Li, p<sup>7</sup>Li, p<sup>9</sup>Be, n<sup>9</sup>Be, p<sup>10</sup>B, p<sup>11</sup>B, n<sup>11</sup>B, n<sup>12</sup>C, p<sup>12</sup>C, n<sup>13</sup>C, p<sup>13</sup>C, n<sup>14</sup>C, p<sup>14</sup>C, n<sup>14</sup>N, n<sup>15</sup>N, p<sup>15</sup>N, n<sup>16</sup>O and <sup>2</sup>H<sup>4</sup>He, <sup>3</sup>He<sup>4</sup>He, <sup>3</sup>H<sup>4</sup>He, <sup>4</sup>He<sup>12</sup>C systems at thermal and astrophysical energies is considered. These calculations of the listed above capture processes are carried out on the basis of the modified variant of PCM, described in [<xref ref-type="bibr" rid="scirp.68015-ref9">9</xref>] [<xref ref-type="bibr" rid="scirp.68015-ref10">10</xref>] [<xref ref-type="bibr" rid="scirp.68015-ref37">37</xref>] - [<xref ref-type="bibr" rid="scirp.68015-ref39">39</xref>] .</p><p>Therefore, in continuing to study the processes of radiative capture [<xref ref-type="bibr" rid="scirp.68015-ref9">9</xref>] [<xref ref-type="bibr" rid="scirp.68015-ref10">10</xref>] , we will consider the <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x6.png" xlink:type="simple"/></inline-formula> reaction within the framework of the MPCM at low and thermal energies. The resonance behavior of the elastic scattering phase shifts of the interacting particles at low energies will be taken into account. In addition, the classification of the orbital states of the clusters according to the Young tableaux allows one to clarify the number of FSs and allowed states (ASs), i.e., the number of nodes of the wave function of the relative motion of the cluster. The potentials of the n<sup>10</sup>B interaction for scattering processes will be constructed based on the reproduction of the spectra of resonance states for the final nucleus in the n<sup>10</sup>B channel. The n<sup>10</sup>B potentials are constructed based on the description both of the binding energies of these particles in the final nucleus and of certain basic characteristics of these states; for example, the charge radius and the asymptotic constant (AC) for the bound state (BS) or the ground state (GS) of <sup>11</sup>B, were formed as a result of the capture reaction in the cluster channel, which coincides with the initial particles [<xref ref-type="bibr" rid="scirp.68015-ref10">10</xref>] .</p><p>The study of the reaction<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x7.png" xlink:type="simple"/></inline-formula>, from the astrophysical point of view, is interesting because the resultant <sup>11</sup>B is a part of the reaction chains in the so-called inhomogeneous Big Bang models [<xref ref-type="bibr" rid="scirp.68015-ref42">42</xref>] - [<xref ref-type="bibr" rid="scirp.68015-ref46">46</xref>] . Therefore, it is interesting to consider the additional chain of these reactions starting from the boron isotope <sup>10</sup>B:</p><disp-formula id="scirp.68015-formula81"><label>(1)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/68015x8.png"  xlink:type="simple"/></disp-formula><p>Evidently, the considered reaction can play a certain role in some models of the universe [<xref ref-type="bibr" rid="scirp.68015-ref42">42</xref>] - [<xref ref-type="bibr" rid="scirp.68015-ref46">46</xref>] , when the number of forming nuclei, perhaps, is dependent on the presence of dark energy and its concentration [<xref ref-type="bibr" rid="scirp.68015-ref47">47</xref>] , on the rate of growth of baryonic matter perturbations [<xref ref-type="bibr" rid="scirp.68015-ref48">48</xref>] , or on the rotation of the early universe [<xref ref-type="bibr" rid="scirp.68015-ref49">49</xref>] . However, perturbations in the primordial plasma not only stimulate the process of nucleosynthesis [<xref ref-type="bibr" rid="scirp.68015-ref50">50</xref>] , but also kill it, for example, through the growth of the perturbations of nonbaryonic matter of the universe [<xref ref-type="bibr" rid="scirp.68015-ref51">51</xref>] or because of the oscillations of cosmic strings [<xref ref-type="bibr" rid="scirp.68015-ref52">52</xref>] .</p><p>However, it seems to us that the study of this reaction is also interesting, even though that it has been impossible for us to find any similar theoretical calculations for the reaction <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x9.png" xlink:type="simple"/></inline-formula> in thermal and astrophysical energy range. In addition, <sup>10</sup>B is a very good absorber of neutrons that it is used in control rods in nuclear reactors. This property also makes it useful for construction of neutron detectors. Boron is used to make windows that are transparent to infrared radiation, for high-temperature semiconductors, and for electric generators of a thermoelectric type [<xref ref-type="bibr" rid="scirp.68015-ref53">53</xref>] .</p></sec><sec id="s2"><title>2. Structure of Cluster States</title><p>We regard the results of the classification of <sup>11</sup>B by orbital symmetry in the n<sup>10</sup>B channel as qualitative, because there are no complete tables of Young tableaux productions for systems with more than eight nucleons [<xref ref-type="bibr" rid="scirp.68015-ref54">54</xref>] , which have been used in earlier similar calculations [<xref ref-type="bibr" rid="scirp.68015-ref9">9</xref>] [<xref ref-type="bibr" rid="scirp.68015-ref10">10</xref>] . At the same time, simply based on such a classification, we succeeded in describing the available experimental data on the radiative capture of neutrons and charged particles for a wide range of reactions of [<xref ref-type="bibr" rid="scirp.68015-ref9">9</xref>] [<xref ref-type="bibr" rid="scirp.68015-ref10">10</xref>] [<xref ref-type="bibr" rid="scirp.68015-ref35">35</xref>] [<xref ref-type="bibr" rid="scirp.68015-ref37">37</xref>] [<xref ref-type="bibr" rid="scirp.68015-ref39">39</xref>] . This is why the classification procedure by orbital symmetry given above was used here for the determination of the number of FSs and ASs in partial intercluster potentials and, consequently, to the specified number of nodes of the wave function of the relative motion of the cluster for the case of neutrons and <sup>10</sup>B.</p><p>Furthermore, we will suppose that it is possible to assume the orbital Young tableau in the form <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x10.png" xlink:type="simple"/></inline-formula> for <sup>10</sup>B; therefore, for the n<sup>10</sup>B system, we have <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x11.png" xlink:type="simple"/></inline-formula> [<xref ref-type="bibr" rid="scirp.68015-ref54">54</xref>] . The first of the obtained tableaux is compatible with orbital moments<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x12.png" xlink:type="simple"/></inline-formula>, 2, 3, and 4, and is forbidden because it contains five nucleons in the s-shell. The second tableau is allowed and is compatible with orbital moments<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x13.png" xlink:type="simple"/></inline-formula>, 2, 3, and 4, and the third is also allowed and is compatible with<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x14.png" xlink:type="simple"/></inline-formula>, 2, and 3 [<xref ref-type="bibr" rid="scirp.68015-ref55">55</xref>] . As mentioned before, the absence of tables of Young tableaux productions for when the number of particles is 10 and 11 prevents the exact classification of the cluster states in the considered system of particles. However, qualitative estimations of the possible Young tableaux for orbital states allow us to detect the existence of the FSs in the S and D waves and the absence of FSs for the P states. The same structure of FSs and ASs in the different partial waves allows us to construct the potentials of intercluster interactions required for the calculations of the total cross sections for the considered radiative capture reaction. Thus, by limiting our consideration to only the lowest partial waves with orbital moment<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x15.png" xlink:type="simple"/></inline-formula>, and 1, it could be said that for the n<sup>10</sup>B system (for <sup>10</sup>B it is known<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x16.png" xlink:type="simple"/></inline-formula>, <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x17.png" xlink:type="simple"/></inline-formula>, 0) [<xref ref-type="bibr" rid="scirp.68015-ref56">56</xref>] , the only allowed state exists in the P wave potentials and the FS is in the S waves. The state in the <sup>6</sup>Р<sub>3/2</sub> wave (representation in<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x18.png" xlink:type="simple"/></inline-formula>) corresponds to the GS of <sup>11</sup>B with<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x19.png" xlink:type="simple"/></inline-formula>, <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x20.png" xlink:type="simple"/></inline-formula>, 1/2 and is at the binding energy of the n<sup>10</sup>B system of −11.4541(2) MeV [<xref ref-type="bibr" rid="scirp.68015-ref57">57</xref>] . Let us note that some n<sup>10</sup>B scattering states and BSs can be mixed by isospin with <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x21.png" xlink:type="simple"/></inline-formula> <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x21.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x22.png" xlink:type="simple"/></inline-formula> and <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x21.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x22.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x23.png" xlink:type="simple"/></inline-formula> <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x21.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x22.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x23.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x24.png" xlink:type="simple"/></inline-formula>.</p><p>The spectrum of <sup>11</sup>B for excited states (ESs), bound in the n<sup>10</sup>B channel, shows that at the energy of 2.1247 MeV above the GS or −9.3329 MeV [<xref ref-type="bibr" rid="scirp.68015-ref57">57</xref>] relative to the threshold of the n<sup>10</sup>B channel, the first ES can be found, bound in this channel with the moment<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x25.png" xlink:type="simple"/></inline-formula>, which can be compared with the <sup>6</sup>F<sub>1/2</sub> wave with an FS. However, we will not consider it, because of the large value of the angular momentum barrier. The second ES at the energy 4.4449 MeV [<xref ref-type="bibr" rid="scirp.68015-ref57">57</xref>] above the GS or −7.0092 MeV relative to the threshold of the n<sup>10</sup>B channel has the moment<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x25.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x26.png" xlink:type="simple"/></inline-formula>, and it can be compared with the mixture of the <sup>6</sup>P<sub>5/2</sub> and <sup>8</sup>P<sub>5/2</sub> waves without FSs. Furthermore, the unified potential of such a mixed P<sub>5/2</sub> state will be constructed, because the model used does not allow one to divide states with different spin clearly. The wave function obtained with this potential at the calculation of the Schr&#246;dinger equation and, in principle, consisting of two components for different spin channels, does not divide into these components in the explicit form, i.e., we are using the total form of the WF in all calculations. The third ES at the energy of 5.0203 MeV [<xref ref-type="bibr" rid="scirp.68015-ref57">57</xref>] relative to the GS or −6.4338 MeV relative to the channel threshold has the moment<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x25.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x26.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x27.png" xlink:type="simple"/></inline-formula>, and it can be matched to the <sup>6</sup>P<sub>3/2</sub> wave without an FS. The fourth ES at the energy of 6.7429 MeV [<xref ref-type="bibr" rid="scirp.68015-ref57">57</xref>] relative to the GS or −4.7112 MeV relative to the channel threshold has the moment<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x25.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x26.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x27.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x28.png" xlink:type="simple"/></inline-formula>, and it can be matched to the mixture of the <sup>6</sup>P<sub>7/2</sub> and <sup>8</sup>P<sub>7/2</sub> waves without an FS. In addition, it is possible to consider the ninth ES at the energy of 8.9202 MeV with the moment 5/2<sup>−</sup>, i.e., at the energy of −2.5339 MeV relative to the n<sup>10</sup>B threshold, which can be matched to the mixture of the <sup>6</sup>P<sub>5/2</sub> and <sup>8</sup>P<sub>5/2</sub> states without FSs.</p><p>Consider now the resonance states in the n<sup>10</sup>B system, i.e., states at positive energies. The first resonance state of <sup>11</sup>B in the n<sup>10</sup>B channel, located at the energy 0.17 MeV, has the neutron width of 4 keV and the moment <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x29.png" xlink:type="simple"/></inline-formula> [<xref ref-type="bibr" rid="scirp.68015-ref57">57</xref>] . It is possible to compare this state with the <sup>6</sup>S<sub>5/2</sub> scattering wave with an FS. We have not succeeded in the construction of the potential with such small width; therefore, we will consider this scattering wave as non-resonant, which leads to zero scattering phase shifts. The second resonance state has the energy of 0.37 MeV―its neutron width equals 0.77 MeV and the moment <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x29.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x30.png" xlink:type="simple"/></inline-formula> [<xref ref-type="bibr" rid="scirp.68015-ref57">57</xref>] ; therefore, it is possible to compare this with the <sup>8</sup>S<sub>7/2</sub> scattering wave with an FS. Because of the large width of resonance (two times greater than its energy), we will use non-resonant values of the parameters for the potential to coincide with the previous <sup>6</sup>S<sub>5/2</sub> potential. The third resonance state has the energy of 0.53 MeV in the laboratory system (l.s.)―its neutron width equals 0.031 MeV in the center-of-mass system (c.m.) and the moment <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x29.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x30.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x31.png" xlink:type="simple"/></inline-formula> [<xref ref-type="bibr" rid="scirp.68015-ref57">57</xref>] . Therefore, it can be compared with the mixed <sup>6</sup>P<sub>5/2</sub> + <sup>8</sup>P<sub>5/2</sub> scattering waves without FSs. These characteristics of the resonance are given in <xref ref-type="table" rid="table11"><xref ref-type="table" rid="table1">Table 1</xref>1</xref>.11 of [<xref ref-type="bibr" rid="scirp.68015-ref57">57</xref>] , and in the note to this table are given the energy and the width values equal to 0.495(5) MeV and 140(15) keV, respectively, with reference to [<xref ref-type="bibr" rid="scirp.68015-ref58">58</xref>] . At the same time, the value of 0.475(17) MeV (l.s.) with the total width 200(20) keV (c.m.) is given in <xref ref-type="table" rid="table11"><xref ref-type="table" rid="table1">Table 1</xref>1</xref>.3 of [<xref ref-type="bibr" rid="scirp.68015-ref57">57</xref>] for this resonance. Furthermore, under the construction of this potential, we will proceed from two variants of data, notably, the first and the last given above with the width of 31 keV (c.m.), but at the energy of the resonance of 475 keV (l.s.), which follows from the level spectrum [<xref ref-type="bibr" rid="scirp.68015-ref57">57</xref>] .</p><p>The next resonance is at the energy above 1 MeV and we will not consider it (see <xref ref-type="table" rid="table11"><xref ref-type="table" rid="table1">Table 1</xref>1</xref>.11, [<xref ref-type="bibr" rid="scirp.68015-ref57">57</xref>] ). There are no resonance levels lower than 1 MeV in the spectrum of <sup>11</sup>B that can be matched to the <sup>6</sup>P<sub>3/2</sub> and <sup>6+8</sup>P<sub>7/2</sub> states [<xref ref-type="bibr" rid="scirp.68015-ref57">57</xref>] . Therefore, their phase shifts are taken as equal to zero, and as far as there are no FSs in the P waves, by way of the first variant, such potentials can be simply equalized to zero [<xref ref-type="bibr" rid="scirp.68015-ref9">9</xref>] [<xref ref-type="bibr" rid="scirp.68015-ref10">10</xref>] . We ought to note here that there are more up-to-date values for all these states [<xref ref-type="bibr" rid="scirp.68015-ref59">59</xref>] ―the results from this review do not differ for the ESs (see <xref ref-type="table" rid="table11"><xref ref-type="table" rid="table1">Table 1</xref>1</xref>.18, [<xref ref-type="bibr" rid="scirp.68015-ref59">59</xref>] ), but do have slightly different values for resonance states. Particularly, the excited energy of 11.893(13) MeV with the adjusted total width of 194(6) keV, which gives 483 keV (l.s.) for the resonance energy, is given for the state<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x32.png" xlink:type="simple"/></inline-formula>, which can be matched to the <sup>6+8</sup>P<sub>5/2</sub> scattering waves without FSs. The width equal to 1.34 MeV, which is given for the state with<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x32.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x33.png" xlink:type="simple"/></inline-formula>, compares with the <sup>8</sup>S<sub>7/2</sub> scattering wave with an FS―it is twice that given in [<xref ref-type="bibr" rid="scirp.68015-ref57">57</xref>] .</p><p>Continuing to the analysis of possible electromagnetic E1 and M1 transitions, let us note that we will consider only transitions to the GS and to four (2<sup>nd</sup>, 3<sup>rd</sup>, 4<sup>th</sup>, and 9<sup>th</sup>) ESs from the S and P scattering waves. One can see <xref ref-type="table" rid="table1">Table 1</xref>.</p></sec><sec id="s3"><title>3. Methods of Calculation</title><p>The total radiative capture cross sections <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x34.png" xlink:type="simple"/></inline-formula> for the ЕJ and МJ transitions in the case of the PCM are given, for example, in [<xref ref-type="bibr" rid="scirp.68015-ref61">61</xref>] or [<xref ref-type="bibr" rid="scirp.68015-ref9">9</xref>] [<xref ref-type="bibr" rid="scirp.68015-ref10">10</xref>] [<xref ref-type="bibr" rid="scirp.68015-ref12">12</xref>] [<xref ref-type="bibr" rid="scirp.68015-ref62">62</xref>] and they have the following form:</p><disp-formula id="scirp.68015-formula82"><label>(2)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/68015x35.png"  xlink:type="simple"/></disp-formula><p>where<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x36.png" xlink:type="simple"/></inline-formula>―total radiative capture cross section;<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x36.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x37.png" xlink:type="simple"/></inline-formula>―reduced mass of initial channel particles;<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x36.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x37.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x38.png" xlink:type="simple"/></inline-formula>―wave number in initial channel;<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x36.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x37.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x38.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x39.png" xlink:type="simple"/></inline-formula>,<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x36.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x37.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x38.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x39.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x40.png" xlink:type="simple"/></inline-formula>―spins of particles in initial channel;<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x36.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x37.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x38.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x39.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x40.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x41.png" xlink:type="simple"/></inline-formula>,<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x36.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x37.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x38.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x39.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x40.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x41.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x42.png" xlink:type="simple"/></inline-formula>―wave number and angular momentum of <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x36.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x37.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x38.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x39.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x40.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x41.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x42.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x43.png" xlink:type="simple"/></inline-formula>-quantum in final channel;<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x36.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x37.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x38.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x39.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x40.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x41.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x42.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x43.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x44.png" xlink:type="simple"/></inline-formula>―is the <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x36.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x37.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x38.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x39.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x40.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x41.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x42.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x43.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x44.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x45.png" xlink:type="simple"/></inline-formula> or <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x36.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x37.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x38.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x39.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x40.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x41.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x42.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x43.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x44.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x45.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x46.png" xlink:type="simple"/></inline-formula> transitions of the <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x36.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x37.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x38.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x39.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x40.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x41.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x42.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x43.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x44.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x45.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x46.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x47.png" xlink:type="simple"/></inline-formula> multipole ordered from the initial <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x36.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x37.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x38.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x39.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x40.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x41.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x42.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x43.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x44.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x45.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x46.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x47.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x48.png" xlink:type="simple"/></inline-formula> to the final <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x36.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x37.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x38.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x39.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x40.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x41.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x42.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x43.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x44.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x45.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x46.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x47.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x48.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x49.png" xlink:type="simple"/></inline-formula> nucleus state.</p><p>The value <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x50.png" xlink:type="simple"/></inline-formula> for electric orbital <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x50.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x51.png" xlink:type="simple"/></inline-formula> transitions has the form of [<xref ref-type="bibr" rid="scirp.68015-ref9">9</xref>] [<xref ref-type="bibr" rid="scirp.68015-ref10">10</xref>] [<xref ref-type="bibr" rid="scirp.68015-ref61">61</xref>]</p><disp-formula id="scirp.68015-formula83"><label>(3)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/68015x52.png"  xlink:type="simple"/></disp-formula><p>Here, <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x53.png" xlink:type="simple"/></inline-formula>, <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x53.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x54.png" xlink:type="simple"/></inline-formula>, <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x53.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x54.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x55.png" xlink:type="simple"/></inline-formula>, <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x53.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x54.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x55.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x56.png" xlink:type="simple"/></inline-formula>, <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x53.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x54.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x55.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x56.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x57.png" xlink:type="simple"/></inline-formula>, and<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x53.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x54.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x55.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x56.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x57.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x58.png" xlink:type="simple"/></inline-formula>―total spins, orbital and total angular momenta in initial <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x53.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x54.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x55.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x56.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x57.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x58.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x59.png" xlink:type="simple"/></inline-formula> and final <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x53.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x54.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x55.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x56.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x57.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x58.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x59.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x60.png" xlink:type="simple"/></inline-formula> channels;<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x53.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x54.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x55.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x56.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x57.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x58.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x59.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x60.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x61.png" xlink:type="simple"/></inline-formula>, <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x53.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x54.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x55.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x56.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x57.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x58.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x59.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x60.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x61.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x62.png" xlink:type="simple"/></inline-formula>, <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x53.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x54.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x55.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x56.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x57.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x58.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x59.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x60.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x61.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x62.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x63.png" xlink:type="simple"/></inline-formula>,<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x53.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x54.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x55.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x56.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x57.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x58.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x59.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x60.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x61.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x62.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x63.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x64.png" xlink:type="simple"/></inline-formula>―masses and charges of the particles in initial channel;<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x53.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x54.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x55.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x56.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x57.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x58.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x59.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x60.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x61.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x62.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x63.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x64.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x65.png" xlink:type="simple"/></inline-formula>―integral over wave functions of initial <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x53.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x54.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x55.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x56.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x57.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x58.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x59.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x60.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x61.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x62.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x63.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x64.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x65.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x66.png" xlink:type="simple"/></inline-formula> and final <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x53.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x54.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x55.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x56.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x57.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x58.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x59.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x60.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x61.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x62.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x63.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x64.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x65.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x66.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x67.png" xlink:type="simple"/></inline-formula> states, as functions of cluster relative motion of n and <sup>10</sup>B particles with intercluster distance<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x53.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x54.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x55.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x56.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x57.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x58.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x59.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x60.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x61.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x62.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x63.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x64.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x65.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x66.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x67.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x68.png" xlink:type="simple"/></inline-formula>.</p><p>For consideration of the <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x69.png" xlink:type="simple"/></inline-formula> magnetic transition, caused by the spin part of magnetic operator [<xref ref-type="bibr" rid="scirp.68015-ref63">63</xref>] , it is possible to obtain an expression of [<xref ref-type="bibr" rid="scirp.68015-ref9">9</xref>] [<xref ref-type="bibr" rid="scirp.68015-ref10">10</xref>] using the following [<xref ref-type="bibr" rid="scirp.68015-ref64">64</xref>] :</p><disp-formula id="scirp.68015-formula84"><label>(4)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/68015x70.png"  xlink:type="simple"/></disp-formula><p>Here, <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x71.png" xlink:type="simple"/></inline-formula>is the mass of the nucleus, and <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x71.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x72.png" xlink:type="simple"/></inline-formula> and <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x71.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x72.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x73.png" xlink:type="simple"/></inline-formula> are the magnetic moments of the clusters, the values</p><table-wrap id="table1" ><label><xref ref-type="table" rid="table1">Table 1</xref></label><caption><title> Considering E1 and M1 transitions in the neutron capture reaction on <sup>10</sup>B</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >No.</th><th align="center" valign="middle" >E1 transitions</th><th align="center" valign="middle" >Comments</th><th align="center" valign="middle" >No.</th><th align="center" valign="middle" >M1 transitions</th><th align="center" valign="middle" >Comments</th></tr></thead><tr><td align="center" valign="middle" >1</td><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x74.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >As the GS is matched with the <sup>6</sup>Р<sub>3/2</sub> level, it is possible to consider E1 transitions from the <sup>6</sup>S<sub>5/2</sub> scattering wave to the GS of <sup>11</sup>B.</td><td align="center" valign="middle" >6</td><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x75.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >Furthermore, it is possible to consider M1 transitions to the GS from the resonance scattering wave <sup>6</sup>Р<sub>5/2</sub> at 0.475(17) MeV, and from the non-resonance <sup>6</sup>Р<sub>3/2</sub> wave. As will be shown later, the cross section of the transition <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x76.png" xlink:type="simple"/></inline-formula> for the first variant of the <sup>6</sup>Р<sub>3/2</sub> scattering potential with zero depth will stay at the level 1 - 2 μb, and the other transitions from the non-resonance waves will not be considered.</td></tr><tr><td align="center" valign="middle" >2</td><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x77.png" xlink:type="simple"/></inline-formula> <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x78.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >In addition, it is possible to consider E1 transitions from the <sup>6</sup>S<sub>5/2</sub> and <sup>8</sup>S<sub>7/2</sub> scattering waves to the second ES of <sup>11</sup>B, which is the mixture of two P states. Because here we have transitions from the initial S states that differ by spin to the different parts of one total WF of the BS, the cross section of these transitions will sum up, i.e.,<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x79.png" xlink:type="simple"/></inline-formula>.</td><td align="center" valign="middle" >7</td><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x80.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >Furthermore, it is possible to consider M1 transitions to the second ES <sup>6</sup>P<sub>5/2</sub> and <sup>8</sup>P<sub>5/2</sub> from the resonance <sup>6</sup>P<sub>5/2</sub> and <sup>8</sup>P<sub>5/2</sub> scattering waves. Because this is the transition from the mixed-by-spin Р<sub>5/2</sub> scattering wave to the mixed-by-spin second ES, the cross section will be averaged according to transitions given above, i.e.,<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x81.png" xlink:type="simple"/></inline-formula>.</td></tr><tr><td align="center" valign="middle" >3</td><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x82.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >The third ES is matched with the <sup>6</sup>Р<sub>3/2</sub> level as the GS, and it is possible to consider the E1 transitions from the <sup>5</sup>S<sub>5/2</sub> scattering waves to this ES of <sup>11</sup>B.</td><td align="center" valign="middle" >8</td><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x83.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >It is possible to consider the M1 transitions to the third ES <sup>6</sup>P<sub>3/2</sub> from the resonance <sup>6</sup>Р<sub>5/2</sub> scattering wave.</td></tr><tr><td align="center" valign="middle" >4</td><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x84.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >Another E1 transition is possible from the <sup>6</sup>S<sub>5/2</sub> and <sup>8</sup>S<sub>7/2</sub> scattering waves of the fourth ES of <sup>11</sup>B at<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x85.png" xlink:type="simple"/></inline-formula>. The cross section of these two transitions will also sum up.</td><td align="center" valign="middle" >9</td><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x86.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >The M1 transitions are feasible to the fourth ES <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x87.png" xlink:type="simple"/></inline-formula> from the resonance <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x88.png" xlink:type="simple"/></inline-formula>scattering wave. This cross section will be averaged over two transitions, as was given in the case of reaction 7.</td></tr><tr><td align="center" valign="middle" >5</td><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x89.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >The last of considered E1 transitions is the capture from the <sup>6</sup>S<sub>5/2 </sub>and <sup>8</sup>S<sub>7/2</sub> scattering waves to the ninth ES of <sup>11</sup>B at<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x90.png" xlink:type="simple"/></inline-formula>. The cross section of these transitions will also sum up, as given in the case of reaction 2.</td><td align="center" valign="middle" >10</td><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x91.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >Finally, we can consider the M1 transitions to the ninth ES <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x92.png" xlink:type="simple"/></inline-formula> from the resonance <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x93.png" xlink:type="simple"/></inline-formula> scattering wave, because there are experimental data of [<xref ref-type="bibr" rid="scirp.68015-ref60">60</xref>] for this. This cross section will also be averaged over the two transitions to the ES given here.</td></tr></tbody></table></table-wrap><p>of which are taken from [<xref ref-type="bibr" rid="scirp.68015-ref65">65</xref>] [<xref ref-type="bibr" rid="scirp.68015-ref66">66</xref>] .</p><p>The construction methods used here for intercluster partial potentials at the given orbital moment<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x94.png" xlink:type="simple"/></inline-formula>, are expanded in [<xref ref-type="bibr" rid="scirp.68015-ref9">9</xref>] [<xref ref-type="bibr" rid="scirp.68015-ref10">10</xref>] [<xref ref-type="bibr" rid="scirp.68015-ref36">36</xref>] and here we will not discuss them further. The next values of particle masses are used in the given calculations: <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x94.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x95.png" xlink:type="simple"/></inline-formula>amu (see [<xref ref-type="bibr" rid="scirp.68015-ref65">65</xref>] ) and <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x94.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x95.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x96.png" xlink:type="simple"/></inline-formula> amu (see [<xref ref-type="bibr" rid="scirp.68015-ref67">67</xref>] ), and constant <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x94.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x95.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x96.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x97.png" xlink:type="simple"/></inline-formula> is equal to 41.4686 MeV fm<sup>2</sup>.</p></sec><sec id="s4"><title>4. Interaction Potentials</title><p>For all partial waves of the n<sup>10</sup>B interaction potentials, i.e., for each partial wave with the given<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x98.png" xlink:type="simple"/></inline-formula>, we used the Gaussian potential of the form:</p><disp-formula id="scirp.68015-formula85"><label>. (5)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/68015x99.png"  xlink:type="simple"/></disp-formula><p>Here, as mentioned before, we will not consider the influence of the first resonance at 0.17 MeV in the <sup>6</sup>S<sub>5/2</sub> wave; therefore, we will use the potential with FSs leading to the zero scattering phase</p><disp-formula id="scirp.68015-formula86"><label>. (6)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/68015x100.png"  xlink:type="simple"/></disp-formula><p>The <sup>6</sup>S<sub>5/2</sub> scattering phase shift of this potential at energy up to 1.0 MeV is less than 0.5˚. The same parameters we be used for the <sup>8</sup>S<sub>7/2</sub> scattering wave, also ignoring the resonance.</p><p>The following parameters were obtained for the third resonance state <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x101.png" xlink:type="simple"/></inline-formula> at 0.475(17) MeV:</p><disp-formula id="scirp.68015-formula87"><label>. (7)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/68015x102.png"  xlink:type="simple"/></disp-formula><p>Such potential leads to resonance, i.e., the scattering phase shift equals 90.0˚, at 475(1) keV (l.s.) with a width of 193(1) keV (c.m.), which is in good agreement with the data of [<xref ref-type="bibr" rid="scirp.68015-ref57">57</xref>] [<xref ref-type="bibr" rid="scirp.68015-ref59">59</xref>] .</p><p>For the potential of the pure-by-spin GS of <sup>11</sup>B in the n<sup>10</sup>B channel, where the 6P<sub>3/2</sub> wave is used, the following parameters were obtained:</p><disp-formula id="scirp.68015-formula88"><label>. (8)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/68015x103.png"  xlink:type="simple"/></disp-formula><p>We have obtained the value of the dimensionless AC = 1.53(1) in the range of 3 - 10 fm, the charged radius of 2.44 fm, and the mass radius of 2.39 fm at the binding energy of −11.454100 MeV with the accuracy of the finite-difference method, used for the calculation of the binding energy at <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x104.png" xlink:type="simple"/></inline-formula> [<xref ref-type="bibr" rid="scirp.68015-ref16">16</xref>] . The AC error is connected with its averaging over the above-mentioned range of distances. The phase shift for such potential decreases smoothly until a value of 179˚ when the changes from zero to 1.0 MeV. The generalized Levinson theorem [<xref ref-type="bibr" rid="scirp.68015-ref8">8</xref>] is used for the determination of the value of scattering phase shift at zero energy.</p><p>The AC value equal to 1.72 fm<sup>−1/2</sup> was obtained in Ref. [<xref ref-type="bibr" rid="scirp.68015-ref68">68</xref>] for the GS of <sup>11</sup>B in the cluster channel n<sup>10</sup>B, where the coefficient of neutron identity was assigned (see expression 83b in [<xref ref-type="bibr" rid="scirp.68015-ref69">69</xref>] ). In this work, a slightly different definition of AC was used, notably <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x105.png" xlink:type="simple"/></inline-formula> (with the Coulomb parameter <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x105.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x106.png" xlink:type="simple"/></inline-formula> equals zero, in this case), which is different from our previous works [<xref ref-type="bibr" rid="scirp.68015-ref9">9</xref>] [<xref ref-type="bibr" rid="scirp.68015-ref10">10</xref>] to the value <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x105.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x106.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x107.png" xlink:type="simple"/></inline-formula> that equals 1.19 fm<sup>−1/2</sup> for the GS; therefore, the AC value equals 1.44 in the dimensionless form. The improved value of 1.82(15) fm<sup>−1/2</sup> is given in the latest results for this AC (see [<xref ref-type="bibr" rid="scirp.68015-ref70">70</xref>] ), and after re-computation, it gives 1.52(12) in the dimensionless form and agrees absolutely with the value for the GS potential (8) obtained here.</p><p>The parameters of the GS potential and any BSs in the considered channel at the given number of the bound, allowed or forbidden states in the partial wave, are fixed quite unambiguously by the binding energy, the charge radius, and the asymptotic constant. The accuracy of the determination of the BS potential parameters is connected with the accuracy of the AC, which is usually equal to 10% to 20%. There are no another ambiguities in this potential, because the classification of the states according to the Young schemes allows us unambiguously to fix the number of BSs in this partial wave, which defines its depth completely, and the width of the potential depends wholly on the values of the charge radius and the AC.</p><p>The next parameters were obtained for the parameters of the <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x108.png" xlink:type="simple"/></inline-formula> potential without FSs for the second ES of <sup>11</sup>B in the n<sup>10</sup>B channel with<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x108.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x109.png" xlink:type="simple"/></inline-formula>:</p><disp-formula id="scirp.68015-formula89"><label>. (9)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/68015x110.png"  xlink:type="simple"/></disp-formula><p>This potential leads to the binding energy of −7.0092 MeV at<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x111.png" xlink:type="simple"/></inline-formula>, which is completely coincident with the experimental value from [<xref ref-type="bibr" rid="scirp.68015-ref57">57</xref>] [<xref ref-type="bibr" rid="scirp.68015-ref59">59</xref>] for the charge radius of 2.44 fm, and the AC of 1.15(1) at the range of 3 - 13 fm.</p><p>The next parameters were obtained for the potential without FSs for the third ES <sup>6</sup>Р<sub>3/2</sub> pure-by-spin with<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x112.png" xlink:type="simple"/></inline-formula>:</p><disp-formula id="scirp.68015-formula90"><label>. (10)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/68015x113.png"  xlink:type="simple"/></disp-formula><p>These parameters lead to the binding energy of −6.4338 MeV at <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x114.png" xlink:type="simple"/></inline-formula> coinciding with the experimental value of [<xref ref-type="bibr" rid="scirp.68015-ref57">57</xref>] [<xref ref-type="bibr" rid="scirp.68015-ref59">59</xref>] ; the AC equals 1.10(1) at the range of 3 - 13 fm, and the charge and mass radii are equal to 2.44 fm and 2.41 fm, respectively. The scattering phase shift for this potential decreases until 178˚ at the energy of 1.0 MeV.</p><p>The next parameters were obtained for the <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x115.png" xlink:type="simple"/></inline-formula> potential without FSs for the fourth ES of <sup>11</sup>B in the n<sup>10</sup>B channel with<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x115.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x116.png" xlink:type="simple"/></inline-formula>:</p><disp-formula id="scirp.68015-formula91"><label>. (11)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/68015x117.png"  xlink:type="simple"/></disp-formula><p>The binding energy of −4.7112 MeV at<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x118.png" xlink:type="simple"/></inline-formula>, which absolutely coincides with the experimental value of [<xref ref-type="bibr" rid="scirp.68015-ref57">57</xref>] [<xref ref-type="bibr" rid="scirp.68015-ref59">59</xref>] for the charge radius of 2.44 fm, and dimensionless AC equal to 0.94(1) at the range of 3 - 15 fm, was obtained with this potential. The scattering phase shift for this potential decreases smoothly until 178˚ at the energy of 1.0 MeV.</p><p>These parameters were obtained for the <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x119.png" xlink:type="simple"/></inline-formula> potential without FSs for the ninth ES of <sup>11</sup>B in the n<sup>10</sup>B channel with<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x119.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x120.png" xlink:type="simple"/></inline-formula>:</p><disp-formula id="scirp.68015-formula92"><label>. (12)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/68015x121.png"  xlink:type="simple"/></disp-formula><p>This potential leads to the binding energy of −2.5339 MeV at<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x122.png" xlink:type="simple"/></inline-formula>, which completely coincides with the experimental value of [<xref ref-type="bibr" rid="scirp.68015-ref57">57</xref>] [<xref ref-type="bibr" rid="scirp.68015-ref59">59</xref>] for the charge radius of 2.44 fm, and dimensionless AC equal to 0.70(1) at the range of 3 - 24 fm. The scattering phase shift for this potential decreases smoothly until 178˚ at the energy of 1.0 MeV.</p></sec><sec id="s5"><title>5. The Total Cross Section of the Radiative Neutron Capture on <sup>10</sup>B</title><p>The next experimental data were used for the comparison of the calculation results given in <xref ref-type="fig" rid="fig1">Figure 1</xref> and <xref ref-type="fig" rid="fig2">Figure 2</xref>. The black points (●) show the total summed capture cross section from [<xref ref-type="bibr" rid="scirp.68015-ref60">60</xref>] at 23, 40, and 61 keV. The triangle (▲) represents the cross section of 500(200) μb from [<xref ref-type="bibr" rid="scirp.68015-ref71">71</xref>] at the energy of 25 MeV, and the open reverse triangle (&#209;) shows the new results for the cross section of 305(16) μb at 25 MeV from [<xref ref-type="bibr" rid="scirp.68015-ref72">72</xref>] , given in the review [<xref ref-type="bibr" rid="scirp.68015-ref59">59</xref>] . It should be noted that other data for 390(11) μb, obtained in [<xref ref-type="bibr" rid="scirp.68015-ref73">73</xref>] and also shown in <xref ref-type="fig" rid="fig1">Figure 1</xref> and <xref ref-type="fig" rid="fig2">Figure 2</xref> by the open reverse triangle (&#209;), were published later; reference to these results is also given in review [<xref ref-type="bibr" rid="scirp.68015-ref59">59</xref>] . The experimental measurements of [<xref ref-type="bibr" rid="scirp.68015-ref60">60</xref>] for the transitions to different ESs of <sup>11</sup>B are shown in <xref ref-type="fig" rid="fig1">Figure 1</xref> and <xref ref-type="fig" rid="fig2">Figure 2</xref>: open circles (o) represent the total capture cross section to the GS <sup>6</sup>Р<sub>3/2</sub>, open squares (□) represent the total capture cross section to the second ES <sup>6+8</sup>Р<sub>5/2</sub>, black squares (■) represent the total capture cross section to the fourth ES <sup>6+8</sup>Р<sub>7/2</sub>, and open triangles (D) represent the total capture cross section to the ninth ES <sup>6+8</sup>Р<sub>5/2</sub>. Furthermore, in <xref ref-type="fig" rid="fig3">Figure 3</xref>, only part of these experimental results is given.</p><p>The E1 transition <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x123.png" xlink:type="simple"/></inline-formula> from the S scattering wave with potential (6) to the GS with potential (8) was considered initially in our calculations, and the obtained capture cross section is shown in <xref ref-type="fig" rid="fig1">Figure 1</xref>, represented by the short dashed line. The general dashed line shows the capture cross section to the second ES for potential (9), identified in Section 2 as No. 2. The dotted line shown at the bottom of <xref ref-type="fig" rid="fig1">Figure 1</xref> denotes the cross section of the transition <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x123.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x124.png" xlink:type="simple"/></inline-formula> to the third ES (10). The dot-dashed line shows the cross section of</p><fig id="fig1"  position="float"><label><xref ref-type="fig" rid="fig1">Figure 1</xref></label><caption><title> The total cross sections of the radiative neutron capture on <sup>10</sup>B. Experimental data and lines described in the text</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/68015x125.png"/></fig><fig id="fig2"  position="float"><label><xref ref-type="fig" rid="fig2">Figure 2</xref></label><caption><title> The total cross sections of the radiative neutron capture on <sup>10</sup>B. Experimental data and lines described in the text</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/68015x126.png"/></fig><fig id="fig3"  position="float"><label><xref ref-type="fig" rid="fig3">Figure 3</xref></label><caption><title> The total cross sections of the radiative neutron capture on <sup>10</sup>B. Experimental data and lines described in the text</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/68015x127.png"/></fig><p>the transition to the fourth ES (11), identified in Section 2 as No. 4. The dot-dot-dashed line, which is almost superimposed with the dotted line, shows the transition from the S scattering waves to the ninth ES with potential (12). The solid line gives the total summed cross section of all the above considered transitions, which largely describes the experimental data for the total summed cross sections from [<xref ref-type="bibr" rid="scirp.68015-ref60">60</xref>] [<xref ref-type="bibr" rid="scirp.68015-ref71">71</xref>] at the energy range from 25 MeV to 61 keV correctly.</p><p>Let us note that in the measurements of [<xref ref-type="bibr" rid="scirp.68015-ref60">60</xref>] the transition to the third ES is not taken into account, and as seen in <xref ref-type="fig" rid="fig1">Figure 1</xref>, this leads to nearly the same cross section of the transition to the third ES and the ninth ES- dotted and dot-dot-dashed lines. Therefore, probably, it is necessary to add the cross section of the transition to the ninth ES to the total cross sections [<xref ref-type="bibr" rid="scirp.68015-ref60">60</xref>] to obtain summed cross sections that are more correct, and this will be equivalent to taking into account the transition to the third ES. Such cross sections are shown in Figures 1-3 by the open rhombus―this account influences weakly the total cross sections, which also agree with the results of our calculations.</p><p>As can be seen from the obtained results, the calculated line for the transition to the fourth ES is in a good agreement with the given black squares (experimental data) [<xref ref-type="bibr" rid="scirp.68015-ref60">60</xref>] . The good agreement of the calculation, shown by the dot-dot-dashed line, can also be observed for the transition to the ninth ES, the experiment for which is shown by the open triangles [<xref ref-type="bibr" rid="scirp.68015-ref60">60</xref>] . The measurements for the transition to the second ES, shown in <xref ref-type="fig" rid="fig1">Figure 1</xref> by the open squares [<xref ref-type="bibr" rid="scirp.68015-ref60">60</xref>] , lie appreciably higher than the corresponding calculated line, shown by the dashed line. The measurements of the cross section for the transition to the GS, shown by the open circles [<xref ref-type="bibr" rid="scirp.68015-ref60">60</xref>] , lie much lower than the calculated line, shown by the short dashed line. Thereby, only two calculations conform to the experimental results for the transitions to the fourth and ninth ESs [<xref ref-type="bibr" rid="scirp.68015-ref60">60</xref>] , although the total summed cross sections, shown by the black points or rhombus, are described completely by the calculated line―the solid line in <xref ref-type="fig" rid="fig1">Figure 1</xref>.</p><p>Because, we do not know the AC value for the second ES, it is always possible to construct the potential correctly describing the capture cross sections to this state, shown in <xref ref-type="fig" rid="fig1">Figure 1</xref> and <xref ref-type="fig" rid="fig2">Figure 2</xref> by the open squares [<xref ref-type="bibr" rid="scirp.68015-ref60">60</xref>] . For example, it is possible to use the potential with the parameters:</p><disp-formula id="scirp.68015-formula93"><label>, (13)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/68015x128.png"  xlink:type="simple"/></disp-formula><p>which leads to the binding energy of −7.0092 MeV, the charged radius of 2.44 fm, and the value of the AC equal to 1.45(1) at the range of 4 - 13 fm. The calculation results of the capture cross sections to this state from the S scattering waves are shown in <xref ref-type="fig" rid="fig2">Figure 2</xref> by the dashed line, which is in a quite agreement with the experimental data [<xref ref-type="bibr" rid="scirp.68015-ref60">60</xref>] shown by the open squares.</p><p>At the same time, the other variant of the GS potential that describes the total capture cross sections to the GS correctly, shown in <xref ref-type="fig" rid="fig1">Figure 1</xref> and <xref ref-type="fig" rid="fig2">Figure 2</xref> by the open circles, will not agree with the known AC or that given above for the GS. For example, the parameters</p><disp-formula id="scirp.68015-formula94"><label>(14)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/68015x129.png"  xlink:type="simple"/></disp-formula><p>Allow one to describe reasonably the available experimental cross section measurements of the transition [<xref ref-type="bibr" rid="scirp.68015-ref60">60</xref>] , as is shown in <xref ref-type="fig" rid="fig2">Figure 2</xref> by the short dashed line. However, although this potential leads to the correct binding energy of −11.454100 MeV and describes reasonably the charged radius of 2.43 fm, the value of the AC is equal to 0.71(1) at the range of 2 - 8 fm, which is half that of the results from other experimental data [<xref ref-type="bibr" rid="scirp.68015-ref68">68</xref>] [<xref ref-type="bibr" rid="scirp.68015-ref70">70</xref>] . This result can be explained by the imperfection of the MPCM used here; however, on such occasions, the MPCM led to the correct description of the cross sections both to the transitions to the GS and to the total summed cross section of the capture processes [<xref ref-type="bibr" rid="scirp.68015-ref9">9</xref>] [<xref ref-type="bibr" rid="scirp.68015-ref10">10</xref>] [<xref ref-type="bibr" rid="scirp.68015-ref36">36</xref>] [<xref ref-type="bibr" rid="scirp.68015-ref39">39</xref>] . Therefore, it could be supposed that the experimental measurements for transitions to different ESs of <sup>11</sup>B at the radiative neutron capture on <sup>10</sup>B should be improved in the future; it will also be interesting to obtain new data in the range of possible resonances from 100 to 600 keV.</p><p>Reverting to the calculation results given in <xref ref-type="fig" rid="fig1">Figure 1</xref>, we note that at the energies from 10 MeV to 10 keV, the calculated cross section is almost a straight line, and it can be approximated by a simple function of the form:</p><disp-formula id="scirp.68015-formula95"><label>. (15)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/68015x130.png"  xlink:type="simple"/></disp-formula><p>The value of the given constant A = 2123.4694 μb∙keV<sup>1/2</sup> was determined from a single point of the cross-sec- tions (solid line in <xref ref-type="fig" rid="fig1">Figure 1</xref>) at a minimal energy of 10 MeV. The absolute value <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x131.png" xlink:type="simple"/></inline-formula> of the relative deviation of the calculated the oretical cross sections<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x131.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x132.png" xlink:type="simple"/></inline-formula>, and the approximation of this cross section <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x131.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x132.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x133.png" xlink:type="simple"/></inline-formula> by the expression given above in the energy range until10 keV, is at the level of 0.2%. It is supposed that this form of total cross section dependence on energy will be conserved at lower energies. In this case, the estimation of the cross section value, for example, at the energy of 1 μ keV, gives the value of 67.2 b. The coefficient for the solid line in <xref ref-type="fig" rid="fig2">Figure 2</xref> in the expression given above (15) for the approximated calculation results for cross sections, is equal to 2150.3488 μb∙keV<sup>1/2</sup>.</p><p>Furthermore, the considered M1 transitions to the GS and to the different ESs are shown in <xref ref-type="fig" rid="fig3">Figure 3</xref>, together with the summed cross section for the E1 processes, which is shown by the dashed line (it is represented by the solid line in <xref ref-type="fig" rid="fig1">Figure 1</xref>). The dotted line at the top of the figure shows the cross section of the M1 transition to the GS with potential (8) from the resonant <sup>6</sup>Р<sub>5/2</sub> scattering wave for potential (7), identified in Section 2 as No. 6. The dot-dashed line it is the transition from the Р<sub>5/2</sub> scattering wave (7) to the second ES with potential (9), identified in Section 2 as No. 7. The dot-dot-dashed line shows the cross section of the M1 transition <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/68015x134.png" xlink:type="simple"/></inline-formula> to the third ES with potential (10) in <xref ref-type="fig" rid="fig3">Figure 3</xref>. Another possible M1 transition to the fourth ES (11), identified in Section 2 as No. 9, has the form of the cross section shown in <xref ref-type="fig" rid="fig3">Figure 3</xref> by the short dashes. In addition, the M1 transition to the ninth ES (12) is possible; it is identified in Section 2 as No. 10, and shown in <xref ref-type="fig" rid="fig3">Figure 3</xref> by the dot-dashed line with closely placed dashes (the third line at the bottom), which lies slightly higher than the short dashed line. In addition, the M1 transition to the GS from the non-resonant <sup>6</sup>Р<sub>3/2</sub> scattering wave was considered with the potential of zero depth―the second transition under No. 6 in Section 2. The result is shown by the dotted line with closely placed dots in the bottom of <xref ref-type="fig" rid="fig3">Figure 3</xref>. Its value at the maximum is about 1.5 μb and it has practically no influence on the calculated cross sections in the range of the resonance at 475 keV, almost reaching to 4.5 mb. Experimental data: points (●)―the total summed cross section of the neutron capture on <sup>10</sup>B from [<xref ref-type="bibr" rid="scirp.68015-ref60">60</xref>] , open rhombus (◊)―the summed total capture cross section from [<xref ref-type="bibr" rid="scirp.68015-ref60">60</xref>] taking into account the transition to the third ES.</p><p>The sum of all the E1 and M1 transitions described above is shown in <xref ref-type="fig" rid="fig3">Figure 3</xref> by the solid line, which gives a suitable description of the given experimental data. The small overshoots of the calculated cross sections over the experimental one at 40 and 61 keV can be used to argue that the used potential (7) leads to the overestimated value of the resonance width in the Р<sub>5/2</sub> scattering wave of 193 keV.</p></sec><sec id="s6"><title>6. Conclusions</title><p>As can be seen from the listed results, the obvious assumptions about the methods of construction of the n<sup>10</sup>B interaction potentials, if they have FSs, allow one to obtain acceptable results on the description of the available experimental data for the total cross section of the neutron capture on <sup>10</sup>B of [<xref ref-type="bibr" rid="scirp.68015-ref60">60</xref>] [<xref ref-type="bibr" rid="scirp.68015-ref71">71</xref>] [<xref ref-type="bibr" rid="scirp.68015-ref73">73</xref>] at the energy range from 25 MeV to 61 keV. The possibility to describe all considered experimental data both by capture cross section and according to the GS characteristics, allows us to fix parameters of the GS potential closely enough in the form of (8). The summed cross sections at the resonance energy of 0.475 MeV, are equal to 4.5 μb at the width of the resonance of 193 keV and 13.7 μb at the width of 32 keV.</p><p>Thereby, the MPCM again confirms, as already done in 27 reactions from [<xref ref-type="bibr" rid="scirp.68015-ref9">9</xref>] [<xref ref-type="bibr" rid="scirp.68015-ref10">10</xref>] [<xref ref-type="bibr" rid="scirp.68015-ref23">23</xref>] - [<xref ref-type="bibr" rid="scirp.68015-ref26">26</xref>] [<xref ref-type="bibr" rid="scirp.68015-ref30">30</xref>] [<xref ref-type="bibr" rid="scirp.68015-ref31">31</xref>] [<xref ref-type="bibr" rid="scirp.68015-ref35">35</xref>] - [<xref ref-type="bibr" rid="scirp.68015-ref39">39</xref>] [<xref ref-type="bibr" rid="scirp.68015-ref74">74</xref>] - [<xref ref-type="bibr" rid="scirp.68015-ref80">80</xref>] , its ability to describe correctly the cross sections of the processes such as the radiative capture of neutral and charged particles on light nuclei at thermal and astrophysical energies. As this occurs, such results are obtained using the potentials matched with the resonance scattering phases, or with the level spectra of the final nucleus and the BS characteristics of the considered nuclei, and some basic principles of the construction of such potentials were checked partially in the three-body calculations of [<xref ref-type="bibr" rid="scirp.68015-ref81">81</xref>] .</p></sec><sec id="s7"><title>Acknowledgements</title><p>In conclusion, the authors express their deep gratitude to Prof. Yarmukhamedov R. (INP, Tashkent, Uzbekistan) for provision of the information on the AC in the n<sup>10</sup>B channel, and also to Prof. Strakovsky I.I. (GWU, Washington, USA) and to Prof. Blokhintsev L.D. (MSU, Moscow, Russia) for discussions of certain questions touching in the paper.</p></sec><sec id="s8"><title>Cite this paper</title><p>S. B. Dubovichenko,A. V. Dzhazairov-Kakhramanov, (2015) Astrophysical Radiative Neutron Capture on <sup>10</sup>B Taking into Account Resonance at 475 keV. Open Access Library Journal,02,1-13. doi: 10.4236/oalib.1101263</p></sec><sec id="s9"><title>NOTES</title></sec></body><back><ref-list><title>References</title><ref id="scirp.68015-ref1"><label>1</label><mixed-citation publication-type="other" xlink:type="simple">Dubovichenko, S.B. (2011) A Three-Body Model of 11B Nucleus. Journal of Experimental and Theoretical Physics, 113, 221-226. http://dx.doi.org/10.1134/S106377611106015X</mixed-citation></ref><ref id="scirp.68015-ref2"><label>2</label><mixed-citation publication-type="other" xlink:type="simple">Dubovichenko, S.B., Afanasyeva, N.V. and Burkova, N.A. (2014) Radiative Neutron Capture on 15N. Physical Science International Journal, 4, 636-648. http://dx.doi.org/10.9734/PSIJ/2014/6753</mixed-citation></ref><ref id="scirp.68015-ref3"><label>3</label><mixed-citation publication-type="other" xlink:type="simple">Dubovichenko, S.B. and Dzhazairov-Kakhramanov, A.V. (2014) Neutron Radiative Capture on 10B, 11B and Proton Radiative Capture on 11B, 14C and 15N at Thermal and Astrophysical Energies. International Journal of Modern Physics E, 23, Article ID: 1430012.</mixed-citation></ref><ref id="scirp.68015-ref4"><label>4</label><mixed-citation publication-type="other" xlink:type="simple">Dubovichenko, S.B., Adilbekov, D.N. and Tkachenko, A.C. (2014) Proton Radiative Capture on 10B. Bulletin of Kazakh Academy of Sciences: Series Physics and Mathematics, 4, 3-20.</mixed-citation></ref><ref id="scirp.68015-ref5"><label>5</label><mixed-citation publication-type="other" xlink:type="simple">Dubovichenko, S.B., Burtebaev, N., Dzhazairov-Kakhramanov, A.V. and Alimov, D.K. (2014) Astrophysical S-Factor of the Radiative Proton Capture on 14C at Low Energies. Russian Physics Journal, 57, in Print.</mixed-citation></ref><ref id="scirp.68015-ref6"><label>6</label><mixed-citation publication-type="other" xlink:type="simple">Dubovichenko, S.B. (2014) Radiative N16O Capture at Low Energies. Russian Physics Journal, 57, 498-508. http://dx.doi.org/10.1007/s11182-014-0267-x</mixed-citation></ref><ref id="scirp.68015-ref7"><label>7</label><mixed-citation publication-type="other" xlink:type="simple">Dubovichenko, S.B. (2014) Astrophysical n13C Capture. Russian Physics Journal, 57, 16-23. http://dx.doi.org/10.1007/s11182-014-0201-2</mixed-citation></ref><ref id="scirp.68015-ref8"><label>8</label><mixed-citation publication-type="other" xlink:type="simple">Dubovichenko, S.B. (2013) Radiative n15N Capture at Low Energies. Russian Physics Journal, 56, 494-503. http://dx.doi.org/10.1007/s11182-013-0061-1</mixed-citation></ref><ref id="scirp.68015-ref9"><label>9</label><mixed-citation publication-type="other" xlink:type="simple">Firestone, R.B., Krticka, M., McNabb, D.P., Sleaford, B., Agvaanluvsan, U., Belgya, T. and Revay, Zs. (2008) New Methods for the Determination of Total Radiative Thermal Neutron Capture Cross Sections. AIP Conference Pro-ceedings, 1005, 26. http://dx.doi.org/10.1063/1.2920738</mixed-citation></ref><ref id="scirp.68015-ref10"><label>10</label><mixed-citation publication-type="other" xlink:type="simple">Mughabghab, S.F. (2006) Atlas of Neutron Resonances: Resonance Parameters and Thermal Cross Sections, Z = 1-100. 5th Edition, Elsevier, Amsterdam.</mixed-citation></ref><ref id="scirp.68015-ref11"><label>11</label><mixed-citation publication-type="other" xlink:type="simple">Bartholomew, G.A. and Campion, P.J. (1957) Neutron Capture Gamma Rays from Lithium, Boron and Nitrogen. Canadian Journal of Physics, 35, 1347-1360. http://dx.doi.org/10.1139/p57-147</mixed-citation></ref><ref id="scirp.68015-ref12"><label>12</label><mixed-citation publication-type="other" xlink:type="simple">Yarmukhamedov, R. (2013) Determination of ANC for n10B Channel in 11B Nucleus. Private Communication.</mixed-citation></ref><ref id="scirp.68015-ref13"><label>13</label><mixed-citation publication-type="other" xlink:type="simple">Blokhintsev, L.D., Borbei, I. and Dolinskii, E.I. (1977) Ядерные вершинные константы. Fizika Elementarnykh Chastits i Atomnoya Yadra, 8, 1189.</mixed-citation></ref><ref id="scirp.68015-ref14"><label>14</label><mixed-citation publication-type="other" xlink:type="simple">Dolinskii, Е.I., Mukhamedzhanov, A.M. and Yarmukhamedov, R. (1978) Direct Nuclear Reactions on Light Nuclei with the Emission of Neutrons. FAN, Tashkent.</mixed-citation></ref><ref id="scirp.68015-ref15"><label>15</label><mixed-citation publication-type="other" xlink:type="simple">http://cdfe.sinp.msu.ru/cgi-bin/gsearch_ru.cgi?z=5&amp;a=10</mixed-citation></ref><ref id="scirp.68015-ref16"><label>16</label><mixed-citation publication-type="other" xlink:type="simple">Avotina, M.P. and Zolotavin, A.V. (1979) Moments of the Ground and excited States of Nuclei. Atomizdat, Moscow.</mixed-citation></ref><ref id="scirp.68015-ref17"><label>17</label><mixed-citation publication-type="other" xlink:type="simple">http://physics.nist.gov/cgi-bin/cuu/Value?mud|search_for=atomnuc</mixed-citation></ref><ref id="scirp.68015-ref18"><label>18</label><mixed-citation publication-type="other" xlink:type="simple">Varshalovich, D.A., Moskalev, A.N. and Khersonskii, V.K. (1989) Quantum Theory of Angular Momentum. World Scientific, Singapore City.</mixed-citation></ref><ref id="scirp.68015-ref19"><label>19</label><mixed-citation publication-type="other" xlink:type="simple">Ajzenberg, I. and Grajner, V. (1973) Mechanisms of Nuclear Excitation. Atomizdat, Moscow.</mixed-citation></ref><ref id="scirp.68015-ref20"><label>20</label><mixed-citation publication-type="other" xlink:type="simple">Dubovichenko, S.B. and Dzhazairov-Kakhramanov, A.V. (1995) Photoprocesses on 7Li and 7Be Nuclei in the Cluster Model for Potentials with Forbidden States. Physics of Atomic Nuclei, 58, 579.</mixed-citation></ref><ref id="scirp.68015-ref21"><label>21</label><mixed-citation publication-type="other" xlink:type="simple">Angulo, С., Arnould, M., Rayet, M., Descouvemont, P., Baye, D., Leclercq-Willain, C., et al. (1999) A Compilation of Charged-Particle Induced Thermonuclear Reaction Rates. Nuclear Physics A, 656, 3-183.</mixed-citation></ref><ref id="scirp.68015-ref22"><label>22</label><mixed-citation publication-type="other" xlink:type="simple">Igashira, M., et al. (1994) Measurements of keV-Neutrons Capture Gamma Rays. Proceedings of the Conference “Measurement, Calculation and Evaluation of Photon Production Data”, Bologna, 14-17 November 1994, 269.</mixed-citation></ref><ref id="scirp.68015-ref23"><label>23</label><mixed-citation publication-type="other" xlink:type="simple">Kelley, J.H., Kwan, E., Purcell, J.E., Sheu, C.G. and Weller, H.R. (2012) Energy Levels of Light Nuclei A = 11. Nuclear Physics A, 880, 88-195. http://dx.doi.org/10.1016/j.nuclphysa.2012.01.010</mixed-citation></ref><ref id="scirp.68015-ref24"><label>24</label><mixed-citation publication-type="other" xlink:type="simple">Lamaze, G.P., Schrack, R.A. and Wasson, O.A. (1978) A New Measurement of the 6Li(n,α)T Cross Section. Nuclear Science and Engineering, 68, 183.</mixed-citation></ref><ref id="scirp.68015-ref25"><label>25</label><mixed-citation publication-type="other" xlink:type="simple">Ajzenberg-Selove, F. (1990) Energy Level of Light Nuclei A= 11-12. Nuclear Physics A, 506, 1-158. http://dx.doi.org/10.1016/0375-9474(90)90271-M</mixed-citation></ref><ref id="scirp.68015-ref26"><label>26</label><mixed-citation publication-type="other" xlink:type="simple">Tilley, D.R., Kelley, J.H., Godwin, J.L., Millener, D.J., Purcell, J.E., Sheu, C.G. and Weller, H.R. (2004) Energy Levels of Light Nuclei A = 8, 9, 10. Nuclear Physics A, 745, 155-362.http://dx.doi.org/10.1016/j.nuclphysa.2004.09.059</mixed-citation></ref><ref id="scirp.68015-ref27"><label>27</label><mixed-citation publication-type="other" xlink:type="simple">Neudatchin, V.G. and Smirnov, Yu.F. (1969) Nucleon Associations in Light Nuclei. Nauka, Moscow.</mixed-citation></ref><ref id="scirp.68015-ref28"><label>28</label><mixed-citation publication-type="other" xlink:type="simple">Itzykson, C. and Nauenberg, M. (1966) Unitary Groups: Representations and Decompositions. Reviews of Modern Physics, 38, 95. http://dx.doi.org/10.1103/RevModPhys.38.95</mixed-citation></ref><ref id="scirp.68015-ref29"><label>29</label><mixed-citation publication-type="other" xlink:type="simple">Clayton, D. (2003) Isotopes in the Cosmos. Hydrogen to Gallium. Cambridge University Press, Cambridge.</mixed-citation></ref><ref id="scirp.68015-ref30"><label>30</label><mixed-citation publication-type="other" xlink:type="simple">Omarov, T. and Chechin, L.M. (1999) On the Dynamics of Two Oscillating Cosmic Strings. General Relativity and Gravitation, 31, 443-459. http://dx.doi.org/10.1023/A:1026685904534</mixed-citation></ref><ref id="scirp.68015-ref31"><label>31</label><mixed-citation publication-type="other" xlink:type="simple">Chechin, L.M. and Myrzakul, Sh.R. (2009) The Development of Perturbations in the Universe Described by the Nonstationary Equation of State. Russian Physics Journal, 52, 286-293. http://dx.doi.org/10.1007/s11182-009-9220-9</mixed-citation></ref><ref id="scirp.68015-ref32"><label>32</label><mixed-citation publication-type="other" xlink:type="simple">White, M., Scott, D. and Silk, J. (1994) Anisotropies in the Cosmic Microwave Background. Annual Review of Astronomy and Astrophysics, 32, 319-370. http://dx.doi.org/10.1146/annurev.aa.32.090194.001535</mixed-citation></ref><ref id="scirp.68015-ref33"><label>33</label><mixed-citation publication-type="other" xlink:type="simple">Chechin, L.M. (2010) The Cosmic Vacuum and the Rotation of Galaxies. Astronomy Reports, 54, 719-723. http://dx.doi.org/10.1134/S1063772910080044</mixed-citation></ref><ref id="scirp.68015-ref34"><label>34</label><mixed-citation publication-type="other" xlink:type="simple">Chechin, L.M. (2006) Antigravitational Instability of Cosmic Substrate in the Newtonian Cosmology. Chinese Physics Letters, 23, 2344-2347. http://dx.doi.org/10.1088/0256-307X/23/8/104</mixed-citation></ref><ref id="scirp.68015-ref35"><label>35</label><mixed-citation publication-type="other" xlink:type="simple">Esmakhanova, K., Myrzakulov, N., Nugmanova, G., Myrzakulov, Ye., Chechin, L.M. and Myrzakulov, R. (2011) Dark Energy in Some Integrable and Nonintegrable FRW Cosmological Models. International Journal of Modern Physics D, 20, 2419. http://dx.doi.org/10.1142/S0218271811020445</mixed-citation></ref><ref id="scirp.68015-ref36"><label>36</label><mixed-citation publication-type="other" xlink:type="simple">Liu, Z.H., Lin, C.J., Zhang, H.Q., Li, Z.C., Zhang, J.S., Wu, Y.W., Yang, F., Ruan, M., Liu, J.C., Li, S.Y. and Peng, Z.H. (2001) Asymptotic Normalization Coefficients and Neutron Halo of the Excited States in 12B and 13C. Physical Review C, 64, Article ID: 034312. http://dx.doi.org/10.1103/PhysRevC.64.034312</mixed-citation></ref><ref id="scirp.68015-ref37"><label>37</label><mixed-citation publication-type="other" xlink:type="simple">Nagai, Y., Shima, T., Suzuki, T.S., Sato, H., Kikuchi, T., Kii, T., Igashira, M. and Ohsaki, T. (1996) Fast Neutron Capture Reactions in Nuclear Astrophysics. Hyperfine Interactions, 103, 43-48.http://dx.doi.org/10.1007/BF02317341</mixed-citation></ref><ref id="scirp.68015-ref38"><label>38</label><mixed-citation publication-type="other" xlink:type="simple">Igashira, M. and Ohsaki, T. (2004) Neutron Capture Nucleosynthesis in the Universe. Science and Technology of Advanced Materials, 5, 567. http://iopscience.iop.org/1468-6996/5/5-6/A06</mixed-citation></ref><ref id="scirp.68015-ref39"><label>39</label><mixed-citation publication-type="other" xlink:type="simple">Guimaraes, V. and Bertulani, C.A. (2010) Light Radioactive Nuclei Capture Reactions with Phenomenological Potential Model. AIP Conference Proceedings, 1245, 30-38.</mixed-citation></ref><ref id="scirp.68015-ref40"><label>40</label><mixed-citation publication-type="other" xlink:type="simple">Heil, M., K&amp;#228;ppeler, F., Wiescher, M. and Mengoni, A. (1998) The (n, &amp;#947;) Cross Section of 7Li. Astrophysical Journal, 507, 997. http://dx.doi.org/10.1086/306367</mixed-citation></ref><ref id="scirp.68015-ref41"><label>41</label><mixed-citation publication-type="book" xlink:type="simple">Dubovichenko, S.B. and Dzhazairov-Kakhramanov, A.V. (2012) Astrophysical S-Factors of Proton Radiative Capture in Thermonuclear Reactions in the Stars and the Universe. In: O’Connel, J.R. and Hale, A.L., Eds., The Big Bang: Theory, Assumptions and Problems, Nova Science Publishers, New York, 1-60.</mixed-citation></ref><ref id="scirp.68015-ref42"><label>42</label><mixed-citation publication-type="book" xlink:type="simple">Dubovichenko, S.B. and Dzhazairov-Kakhramanov, A.V. (2013) The Thermal and Astrophysical Neutron Capture on Light Nuclei in Potential Cluster Model with Forbidden States. In: Strakovsky, I. and Blokhintsev, L., Eds., The Universe Evolution: Astrophysical and Nuclear Aspects, Nova Science Publishers, New York, 49-108.</mixed-citation></ref><ref id="scirp.68015-ref43"><label>43</label><mixed-citation publication-type="other" xlink:type="simple">Dubovichenko, S.B., Dzhazairov-Kakhramanov, A.V. and Burkova, N.A. (2013) The Radiative Neutron Capture on 2H, 6Li, 7Li, 12C and 13C at Astrophysical Energies. International Journal of Modern Physics E, 22, Article ID: 1350028. http://dx.doi.org/10.1142/S0218301313500286</mixed-citation></ref><ref id="scirp.68015-ref44"><label>44</label><mixed-citation publication-type="other" xlink:type="simple">Dubovichenko, S.B., Dzhazairov-Kakhramanov, A.V. and Afanasyeva, N.V. (2013) Radiative Neutron Capture on 9Be, 14C, 14N, 15N and 16O at Thermal and Astrophysical Energies. International Journal of Modern Physics E, 22, Article ID: 1350075.http://dx.doi.org/10.1142/S0218301313500754</mixed-citation></ref><ref id="scirp.68015-ref45"><label>45</label><mixed-citation publication-type="other" xlink:type="simple">Dubovichenko, S.B. and Dzhazairov-Kakhramanov, A.V. (2012) Examination of the Astrophysical S-Factors of the Radiative Proton Capture on 2H, 6Li, 7Li, 12C and 13C. International Journal of Modern Physics E, 21, Article ID: 1250039. http://dx.doi.org/10.1142/S0218301312500395</mixed-citation></ref><ref id="scirp.68015-ref46"><label>46</label><mixed-citation publication-type="other" xlink:type="simple">Dubovichenko, S.B. (2013) Neutron Capture by Light Nuclei at Astrophysical Energies. Physics of Particles and Nuclei, 44, 803-847. http://dx.doi.org/10.1134/S1063779613050031</mixed-citation></ref><ref id="scirp.68015-ref47"><label>47</label><mixed-citation publication-type="other" xlink:type="simple">Dubovichenko, S.B. and Uzikov, Yu.N. (2011) Astrophysical S-Factors of Reactions with Light Nuclei. Physics of Particles and Nuclei, 42, 251-301. http://dx.doi.org/10.1134/S1063779611020031</mixed-citation></ref><ref id="scirp.68015-ref48"><label>48</label><mixed-citation publication-type="other" xlink:type="simple">Dubovichenko, S.B. and Dzhazairov-Kakhramanov, A.V. (2009) Astrophysical S-Factor for р12С → 13Nγ Radiative Capture. Russian Physics Journal, 52, 833-840.</mixed-citation></ref><ref id="scirp.68015-ref49"><label>49</label><mixed-citation publication-type="journal" xlink:type="simple"><name name-style="western"><surname>Dubovichenko</surname><given-names> S.B. </given-names></name>,<etal>et al</etal>. (<year>2011</year>)<article-title>М1 Process and Astrophysical S-Factor of the Reaction p2H Capture</article-title><source> Russian Physics Journal</source><volume> 54</volume>,<fpage> 157</fpage>-<lpage>164</lpage>.<pub-id pub-id-type="doi"></pub-id></mixed-citation></ref><ref id="scirp.68015-ref50"><label>50</label><mixed-citation publication-type="journal" xlink:type="simple"><name name-style="western"><surname>Dubovichenko</surname><given-names> S.B. </given-names></name>,<etal>et al</etal>. (<year>2012</year>)<article-title>Radiative n2Н Capture at Low Energies</article-title><source> Russian Physics Journal</source><volume> 55</volume>,<fpage> 138</fpage>-<lpage>145</lpage>.<pub-id pub-id-type="doi"></pub-id></mixed-citation></ref><ref id="scirp.68015-ref51"><label>51</label><mixed-citation publication-type="journal" xlink:type="simple"><name name-style="western"><surname>Dubovichenko</surname><given-names> S.B. </given-names></name>,<etal>et al</etal>. (<year>2013</year>)<article-title>The Neutron Capture to the Excited States of 9Be Taking to Account the Resonance at 622 keV</article-title><source> Journal of Experimental and Theoretical Physics</source><volume> 117</volume>,<fpage> 649</fpage>-<lpage>655</lpage>.<pub-id pub-id-type="doi"></pub-id></mixed-citation></ref><ref id="scirp.68015-ref52"><label>52</label><mixed-citation publication-type="other" xlink:type="simple">Dubovichenko, S.B. (2013) Radiative Neutron Capture by 2H, 7Li, 14C, and 14N Nuclei at Astrophysical Energies. Physics of Atomic Nuclei, 76, 841-861. http://dx.doi.org/10.1134/S106377881307003X</mixed-citation></ref><ref id="scirp.68015-ref53"><label>53</label><mixed-citation publication-type="other" xlink:type="simple">Dubovichenko, S.B. (2012) Astrophysical S-Factor for the Radiative-Capture Reaction p13C→14Nγ. Physics of Atomic Nuclei, 75, 173-181. http://dx.doi.org/10.1134/S1063778812020044</mixed-citation></ref><ref id="scirp.68015-ref54"><label>54</label><mixed-citation publication-type="other" xlink:type="simple">Dubovichenko, S.B. (2011) Astrophysical S-Factors for Radiative Proton Capture by 3H and 7Li Nuclei. Physics of Atomic Nuclei, 74, 358-370. http://dx.doi.org/10.1134/S1063778811030094</mixed-citation></ref><ref id="scirp.68015-ref55"><label>55</label><mixed-citation publication-type="other" xlink:type="simple">Dubovichenko, S.B. (2010) Astrophysical S-Factors of Radiative 3He4He, 3H4He, and 2H4He Capture. Physics of Atomic Nuclei, 73, 1526-1538. http://dx.doi.org/10.1134/S1063778810090073</mixed-citation></ref><ref id="scirp.68015-ref56"><label>56</label><mixed-citation publication-type="other" xlink:type="simple">Dubovichenko, S.B., Burtebaev, N., Dzhazairov-Kakhramanov, A.V. and Alimov, D. (2014) Radiative p14C Capture at Astrophysical Energies. Modern Physics Letters A, 29, Article ID: 1450125.</mixed-citation></ref><ref id="scirp.68015-ref57"><label>57</label><mixed-citation publication-type="other" xlink:type="simple">Dubovichenko, S.B. and Burkova, N.A. (2014) Radiative n11B Capture at Astrophysical Energies. Modern Physics Letters A, 29, Article ID: 1450036.</mixed-citation></ref><ref id="scirp.68015-ref58"><label>58</label><mixed-citation publication-type="other" xlink:type="simple">Dubovichenko, S.B. and Dzhazairov-Kakhramanov, A.V. (2012) Radiative n7Li Capture at Astrophysical Energies. Annalen der Physik, 524, 850-861.</mixed-citation></ref><ref id="scirp.68015-ref59"><label>59</label><mixed-citation publication-type="other" xlink:type="simple">Dubovichenko, S.B. and Dzhazairov-Kakhramanov, A.V. (2009) Astrophysical S-Factor of p2H Radiative Capture. European Physical Journal A, 39, 139-143.http://dx.doi.org/10.1140/epja/i2008-10729-8</mixed-citation></ref><ref id="scirp.68015-ref60"><label>60</label><mixed-citation publication-type="other" xlink:type="simple">Kukulin, V.I., Pomerantsev, V.N., Cooper, S.G. and Dubovichenko, S.B. (1998) Improved 2H4He Potentials by Inversion: The Tensor Force and Validity of the Double Folding Model. Physical Review C, 57, 2462-2473. http://dx.doi.org/10.1103/PhysRevC.57.2462</mixed-citation></ref><ref id="scirp.68015-ref61"><label>61</label><mixed-citation publication-type="journal" xlink:type="simple"><name name-style="western"><surname>Dubovichenko</surname><given-names> S.B. </given-names></name>,<etal>et al</etal>. (<year>1998</year>)<article-title>Tensor 2H4He Interactions in the Potential Cluster Model Involving Forbidden States</article-title><source> Physics of Atomic Nuclei</source><volume> 61</volume>,<fpage> 162</fpage>-<lpage>168</lpage>.<pub-id pub-id-type="doi"></pub-id></mixed-citation></ref><ref id="scirp.68015-ref62"><label>62</label><mixed-citation publication-type="other" xlink:type="simple">Dubovichenko, S.B. and Zhusupov, M.A. (1984) Some Characteristics of 7Li Nucleus in 4He3H Model for Potentials with Forbidden States. Soviet Journal of Nuclear Physics, 39, 870.</mixed-citation></ref><ref id="scirp.68015-ref63"><label>63</label><mixed-citation publication-type="other" xlink:type="simple">Dubovichenko, S.B. and Zhusupov, M.A. (1984) Structure of Light Nuclei with A = 6, 7, 8 in Cluster Models for Potentials with Forbidden States. Izvestiya Akademii Nauk SSR, Seriya Fizicheskaya, 48, 935-937.</mixed-citation></ref><ref id="scirp.68015-ref64"><label>64</label><mixed-citation publication-type="journal" xlink:type="simple"><name name-style="western"><surname>Dubovichenko</surname><given-names> S.B. </given-names></name>,<etal>et al</etal>. (<year>1995</year>)<article-title>Analysis of Photonuclear Processes in the N2H and 2H3He Systems on the Basis of Cluster Models for Potentials with Forbidden States</article-title><source> Physics of Atomic Nuclei</source><volume> 58</volume>,<fpage> 1174</fpage>-<lpage>1180</lpage>.<pub-id pub-id-type="doi"></pub-id></mixed-citation></ref><ref id="scirp.68015-ref65"><label>65</label><mixed-citation publication-type="other" xlink:type="simple">Dubovichenko, S.B. and Dzhazairov-Kakhramanov, A.V. (1990) Potential Description of the Elastic N2H, 2H2H, N4He, 2H3He Scattering. Soviet Journal of Nuclear Physics, 51, 971.</mixed-citation></ref><ref id="scirp.68015-ref66"><label>66</label><mixed-citation publication-type="other" xlink:type="simple">Dubovichenko, S.B. (2012) Calculation Methods of Nuclear Characteristics. 2nd Edition, Revised and Expanded, Lambert Academic Publishing, Germany.</mixed-citation></ref><ref id="scirp.68015-ref67"><label>67</label><mixed-citation publication-type="other" xlink:type="simple">Dubovichenko, S.B. (2013) Light Nuclei and Nuclear Astrophysics. 2nd Edition, Revised and Expanded, Lambert Academic Publishing, Germany.</mixed-citation></ref><ref id="scirp.68015-ref68"><label>68</label><mixed-citation publication-type="other" xlink:type="simple">Neudachin, V.G., Sakharuk, A.A. and Dubovichenko, S.B. (1995) Photodisintegration of 4He and the Supermultiplet Potential Model of Cluster-Cluster Interaction. Few-Body Systems, 18, 159-172. http://dx.doi.org/10.1007/s006010050009</mixed-citation></ref><ref id="scirp.68015-ref69"><label>69</label><mixed-citation publication-type="other" xlink:type="simple">Dubovichenko, S.B., Neudachin, V.G., Sakharuk, A.A. and Smirnov, Yu.F. (1990) Generalized Potential Description of Interaction Light Nuclei p3H and p3He. Izvestiya Akademii Nauk SSR, Seriya Fizicheskaya, 54, 911-916.</mixed-citation></ref><ref id="scirp.68015-ref70"><label>70</label><mixed-citation publication-type="other" xlink:type="simple">Dubovichenko, S.B. and Dzhazairov-Kakhramanov, A.V. (1997) Electromagnetic Effects in Light Nuclei and the Cluster Potential Model. Physics of Particles and Nuclei, 28, 615-641. http://dx.doi.org/10.1134/1.953057</mixed-citation></ref><ref id="scirp.68015-ref71"><label>71</label><mixed-citation publication-type="other" xlink:type="simple">Dubovichenko, S.B. and Dzhazairov-Kakhramanov, A.V. (1994) Calculation of Coulomb Form Factors of Lithium Nuclei in a Cluster Model Based on Potentials with Forbidden States. Physics of Atomic Nuclei, 57, 733-740.</mixed-citation></ref><ref id="scirp.68015-ref72"><label>72</label><mixed-citation publication-type="other" xlink:type="simple">Dubovichenko, S.B. (2014) Primordial Nucleosynthesis of the Universe. 3rd Edition, Revised and Enlarged, Lambert Academic Publishing, GmbH &amp; Co. KG, Germany. https://www.ljubljuknigi.ru/store/ru/book/Первичный-нуклеосинтез-вселенной/isbn/978-3-659-54311-1</mixed-citation></ref><ref id="scirp.68015-ref73"><label>73</label><mixed-citation publication-type="other" xlink:type="simple">Dubovichenko, S.B. (2012) Thermonuclear Processes of the Universe. Nova Science Publishers, Hauppauge.https://www.novapublishers.com/catalog/product_info.php?products_id=31125</mixed-citation></ref><ref id="scirp.68015-ref74"><label>74</label><mixed-citation publication-type="other" xlink:type="simple">Nemets, O.F., Neudatchin, V.G., Rudchik, A.T., Smirnov, Yu.F. and Tchuvil’sky, Yu.M. (1988) Nucleon Association in Atomic Nuclei and the Nuclear Reactions of the Many Nucleon Transfers. Naukova Dumka, Kiev.</mixed-citation></ref><ref id="scirp.68015-ref75"><label>75</label><mixed-citation publication-type="other" xlink:type="simple">Nesterov, A.V., et al. (2010) Three Cluster Description of the Characteristics of Light Nuclei. Physics of Particles and Nuclei, 41, 716. http://dx.doi.org/10.1134/S1063779610050047</mixed-citation></ref><ref id="scirp.68015-ref76"><label>76</label><mixed-citation publication-type="other" xlink:type="simple">Descouvemont, P. Microscopic Cluster Models I. http://www.nucleartheory.net/Talent_6_Course/TALENT_lectures/pd_microscopic_1.pdf</mixed-citation></ref><ref id="scirp.68015-ref77"><label>77</label><mixed-citation publication-type="book" xlink:type="simple">Descouvemont, P. and Dufour, M. (2012) Microscopic Cluster Model. In: Beck, C., Ed., Clusters in Nuclei, 2nd Edition, Springer-Verlag, Berlin.</mixed-citation></ref><ref id="scirp.68015-ref78"><label>78</label><mixed-citation publication-type="other" xlink:type="simple">Dohet-Eraly, J. and Baye, D. (2011) Microscopic Cluster Model of α + n, α + p, α + 3He, and α + α Elastic Scattering from a Realistic Effective Nuclear Interaction. Physical Review C, 84, Article ID: 014604.http://dx.doi.org/10.1103/PhysRevC.84.014604</mixed-citation></ref><ref id="scirp.68015-ref79"><label>79</label><mixed-citation publication-type="other" xlink:type="simple">Dohet-Eraly, J. (2013) Microscopic Cluster Model of Elastic Scattering and Bremsstrahlung of Light Nuclei. Université Libre De Bruxelles, Bruxelles. http://theses.ulb.ac.be/ETD-db/collection/available/ULBetd-09122013-100019/unrestricted/these_Jeremy_Dohet-Eraly.pdf</mixed-citation></ref><ref id="scirp.68015-ref80"><label>80</label><mixed-citation publication-type="other" xlink:type="simple">Mertelmeir, T. and Hofmann, H.M. (1986) Consistent Cluster Model Description of the Electromagnetic Properties of Lithium and Beryllium Nuclei. Nuclear Physics A, 459, 387. http://dx.doi.org/10.1016/0375-9474(86)90141-7</mixed-citation></ref><ref id="scirp.68015-ref81"><label>81</label><mixed-citation publication-type="other" xlink:type="simple">Wildermuth, K. and Tang, Y.C. (1977) A Unified Theory of the Nucleus. Vieweg, Branschweig.</mixed-citation></ref></ref-list></back></article>