Phase Shift Analysis of Nucleon Scattering on Light Nuclei Using Phase Function Method

The neutron and proton scattering with stable alpha particles can be modeled as a two-particle system. In this paper, using the Morse function, local interaction potentials for various -channels have been constructed directly from scattering phase shifts (SPS) data for light nucleon-nucleus systems. The phase equation for various -channels has been numerically solved to obtain SPS. Our research employs an optimization approach encompassing parameter boundary setting, cost function formulation, and optimization routine utilization to achieve optimal model-parameter fitting with experimental data, ensuring clarity and convenience in our analysis. The resonance energies obtained(experimental) from partial cross-section plots for the p1/2 and p3/2 states in the nα system are 4.10(4±1) and 0.93(0.89) MeV, respectively, while those in the pα system are 5.31(5±2) and 1.97(1.96) MeV. While the total cross-section for the nα system matches values available in the literature, that of the pα system follows the correct trend.