Analysis of Cross Sections and Analyzing Powers in the \(p\)–He\(^{3}\) Elastic Scattering Using a Spin-Dependent Modified Kratzer Potential

This study explores the elastic scattering of charged hadronic system through a new approximation scheme for the effective potential. The Phase Function Method (PFM) is employed to examine the scattering phase shifts in the \(p\)–He\(^{3}\) system, where a modified Kratzer potential is enhanced by electromagnetic interactions and spin–orbit coupling. A six-parameter potential model is developed and optimized to match the calculated scattering phase shifts, differential cross-sections, and proton analyzing power curves with experimental data for the \(p\)–He\(^{3}\) system. The results show strong consistency with experimental measurements and previous theoretical predictions, affirming the accuracy and utility of the proposed method in analyzing scattering phenomena within this system. Abstract Published by the Jagiellonian University 2026 authors