Comparative study of α-α interaction potentials constructed using various phenomenological models

In this paper, we have made a comparative study of α-α scattering using different phenomenological models like Morse, double Gaussian, double Hulthén, Malfliet-Tjon, and double exponential for the nuclear interaction, and atomic Hulthén as the screened Coulomb potential.The phase equations for S, D, and G channels have been numerically solved using the 5 th -order Runge-Kutta method to compute scattering phase shifts (SPS) for the elastic scattering region consisting of energies up to 25.5 MeV.The model parameters in each of the chosen potentials were varied in an iterative fashion to minimize the mean absolute percentage error (MAPE) between simulated and expected SPS.A comparative analysis revealed that all the phenomenological models result in exactly similar optimized potentials with closely matching MAPE values for S, D, and G states.One can conclude that any mathematical function that can capture the basic features of two-body interaction will always guide the construction of optimized potentials correctly.