Correlation between the optical model potential and matter distribution parameters in heavy-ion elastic scattering

Starting from the analytical expression for the folding model potential for the heavy-ion scattering, a simple relationship between the potential and the nuclear density parameters is obtained. This relationship is consistent with the analysis of the proximity forces and is confirmed around the strong absorption radius through the results of the folding model calculations for¹⁶O projectile incident on a variety of targets ranging from⁴⁰Ca to²⁰⁸Pb. These relations help to deduce R_x the distance where the folding potential has a specific value x and the densities of the target nuclei. The predictions are found to be in good agreement with the experiment.