  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.
