TITLE:
Dirac Coupled Channel Analyses of Proton Inelastic Scatterings from s-d Shell Nuclei
AUTHORS:
Sugie Shim, Moon-Won Kim, Young-You Kim
KEYWORDS:
Dirac Coupled Channel Analyses, Optical Potential Model, Proton Inelastic Scattering, Collective Model
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.3 No.4,
April
20,
2015
ABSTRACT: Proton inelastic scatterings from several
s-d shell nuclei are analyzed using optical potential model and collective
model in Dirac coupled channel formalism. The optical potential parameters obtained
phenomenologically for the scatterings from the s-d shell nuclei are compared
with each other for systematic Dirac analysis. Dirac equations are reduced to
the second-order differential equations in order to obtain the Schroedinger
equivalent effective central and spin-orbit optical potentials, and the surface-peaked
phenomena are observed at the real effective central potentials for the scatterings
from 22Ne, 20Ne and 24Mg. By analyzing the obtained effective spin-orbit potentials,
it is confirmed that the spin-orbit interaction is a surface-peaked
interaction. The first-order rotational collective models are used to describe
the low-lying excited states of the ground state rotational bands in the s-d
shell deformed nuclei, and the obtained deformation parameters are analyzed by
comparing with each other, and compared with those obtained by using the nonrelativistic
calculations. The obtained deformation parameters of Dirac phenomenological
calculations for the s-d shell nuclei are found to agree pretty well with those
of the nonrelativistic calculations using the same Woods-Saxon potential shape,
even though the theoretical bases are quite different.