2023/07/25 by Ayushi Awasthi, Awasthi, Ayushi, O. S. K. S. Sastri +1 · 1 citation
Materials Science · Physics and Astronomy · #FOS: Physical sciences #Machine Learning in Materials Science #Nuclear Physics and Applications #Nuclear Theory (nucl-th) #X-ray Diffraction in Crystallography
paper · pdf · doi:10.48550/arxiv.2307.13207
openalex publication_date 2023/07/25 · openalex created_date 2023/07/27 · openalex updated_date 2026/07/28
In this paper, we have made a comparative study of alpha-alpha scattering using different phenomenological models like Morse, double Gaussian, double Hulthen, Malfliet-Tjon and double exponential for the nuclear interaction and atomic Hulthen as screened coulomb potential. The phase equations for S, D and G channels have been numerically solved using 5th order Runge-Kutta Method to compute scattering phase shifts for 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 between simulated and expected scattering phase shifts. A comparative analysis revealed that, all the phenomenological models result in exactly similar inverse potentials with closely matching mean absolute percentage error values for S, D and G state. One can conclude that any mathematical function that can capture the basic features of two body interaction would always guide correctly in construction of inverse potentials.