Elastic scattering study of α-3H and α-3He modeled by Malfliet-Tjonpotential using phase function method

The interaction potentials for the resonant states of elastic scattering of alpha-H-3 and alpha-He-3 systems have been obtained using phase function method. While the interaction for nuclear part has been chosen as the Malfliet-Tjon (MT) form, the infinite-range Coulomb repulsion has been modeled using Hulthen, providing a screening effect to cut off the potential. The scattering phase shifts have been obtained by solving the phase equation for l = 3 using RK-5 method. The interaction parameters are optimized iteratively to minimize the mean absolute percentage error between the obtained and expected scattering phase shifts. Finally, the resonance energies for the [5/2(-), 7/2(-)] states of alpha-H-3 and alpha-He-3 systems have been obtained(experimental) in MeV, from the plots of their partial cross-sections, yielding [2.20 (2.18), 4.18 (4.14)] and [2.98 (2.98), 5.02 (5.14)] respectively. It can be concluded that the interaction potentials obtained using a combination of MT and Hulthen satisfactorily explain the observed scattering data.