Parameterization of Nuclear Hulthén Potential for Nucleus-Nucleus Elastic Scattering

In contrast to Gaussian or Woods-Saxon potential a two-term four parameter nuclear Hulth′en 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 Me V for α-~3He and α-~3H systems.The S-wave phase shift δ_0 for the α-α system tends to 2π and δ_(3/2)-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.

Parameterization of Nuclear Hulthén Potential for Nucleus-Nucleus Elastic Scattering

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 E_Lab=100 MeV for the α-α system and E_Lab=15 MeV for α-³He and α-³H systems. The S-wave phase shift δ₀ for the α-α system tends to 2π and δ_3/2^- 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.