Nuclear Hulthén Potential and the Scattering Phase Shifts For 𝓁 = 3

Abstract

Simple potential models of nuclear Hulthen type are proposed and parameterized to reproduce the nucleon– nucleon scattering phase shifts for the partial wave 𝓁 = 3. The phase shifts are computed utilizing the phase function method for neutron–proton (n–p) and proton–proton (p–p) systems and compared with standard data to judge the merits of our models. Reasonable agreement in phase shifts is achieved with the results of more sophisticated calculations. Particularly, our models reproduce better results for n–p system over the p–p system.