Correlation between Nucleon-Nucleon Interaction, Pairing Energy Gap and Phase Shift for Identical Nucleons in Nuclear Systems

Abstract

Assuming some known nucleon-nucleon interactions, and using the relations between phase shift δ and nucleon-nucleon interaction potential()Vr; the relation between nucleon-nucleon interaction and scattering length a; the relation between energy gap∆, and scattering length a; an equation is ob-tained between energy gap ∆ and Fermi momentum Fkvia the phase shift ( )Fkδ. Assuming 1s0 (singlet) pairing between the nucleons, the energy gap ∆ has been calculated and it is found that 3.0 MeV∆ = at Fermi momen-tum10.8 fmFk−=.