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In this paper, we have made a comparative study of alpha-alpha scatteringusing different phenomenological models like Morse, double Gaussian, doubleHulthen, Malfliet-Tjon and double exponential for the nuclear interaction andatomic Hulthen as screened coulomb potential. The phase equations for S, D andG channels have been numerically solved using 5th order Runge-Kutta Method tocompute scattering phase shifts for elastic scattering region consisting ofenergies up to 25.5 MeV. The model parameters in each of the chosen potentialswere varied in an iterative fashion to minimize the mean absolute percentageerror between simulated and expected scattering phase shifts. A comparativeanalysis revealed that, all the phenomenological models result in exactlysimilar inverse potentials with closely matching mean absolute percentage errorvalues for S, D and G state. One can conclude that any mathematical functionthat can capture the basic features of two body interaction would always guidecorrectly in construction of inverse potentials.

Comparative Study of alpha-alpha interaction potentials constructed using various phenomenological models