Supersymmetry-inspired low-energy $\alpha$–$p$ elastic scattering phases

We consider an effective potential model consisting of an electromagnetic part plus a nuclear part as the ground state interaction for an $\alpha$–$p$ system. The next few higher partial wave interactions are generated using the formalism of supersymmetric quantum mechanics. We adapt the phase function method to compute $\alpha$–$p$ elastic scattering phases up to $12$ MeV, including the effect of the electromagnetic interaction quite rigorously in our phase shift calculation. With the further incorporation of some energy-dependent correction factors to our interactions, we obtain a good agreement with the experimental data.