Parameterization of Nuclear Hulthén Potential for Nucleus-Nucleus Elastic Scattering

Abstract

In contrast to Gaussian or Woods-Saxon potential a two-term four parameter nuclear Hulthén type interaction is considered to describe the α-α, α-3He and α-3H systems. By exploiting the phase function method, scattering phase shifts are computed up to ELab = 100 MeV for the α-α system and ELab = 15 MeV for α-3He and α-3H systems. The S-wave phase shift δ0 for the α-α system tends to 2π and δ3/2− for the α-3He system tends to π, in the limit of zero energy. Reasonable agreements in phase shifts with the standard data are obtained with this simple potential model except for the 5/2− states of α-3He and α-3H systems. With an additional energy-dependent correction factor to our potential, a good agreement with experimental data is obtained for 5/2− states. We have also compared our results with the convenient Born approximations.