TITLE:
Measurement of the Nucleon Nucleon Scattering Length with the ESC04 Interaction
AUTHORS:
Roberto Arceoro, Gerardo Jesús Escalera Santos, Orlando Díaz-Hernández
KEYWORDS:
Nucleon-Induced Reactions; S-Matrix Theory; Scattering Theory
JOURNAL NAME:
World Journal of Nuclear Science and Technology,
Vol.4 No.1,
January
9,
2014
ABSTRACT: We have determined a value for the 1S0 neutron-neutron scattering length (ann). The scattering length result is presented for the extended-soft-core (ESC04) interaction. The value obtained in the present work is ann = -18.6249 fm. The method of solution of the radial Schr?dinger equation with nonlocal potential for nucleonnucleon pairs is described and the result is consistent with previous determinations of ann = -18.63 ± 0.10 (statistical) ± 0.44 (systematic) ± 0.30 (theoretical) fm. The nonlocal potentials are of the central, spin-spin, spin-or-bital, and tensor type. The analysis from the ESC04 interaction is done at energies 0 ￡ Tlab ￡ 350 MeV. We compare the present result with experimental S-wave phase shifts analysis and agreement is found.