A comprehensive description of elastic scattering angular distributions for eight different density distribution of 32S nucleus

The elastic scattering angular distributions of 32 S projectile by 12 C, 27 Al, 40 Ca, 48 Ca, 48 Ti, 58 Ni, 63 Cu, 64 Ni, 76 Ge, 96 Mo and 100 Mo targets over the energy range 83.3 - 180 MeV are analyzed in the framework of the double folding model based on the optical model. The real part of the optical model potential is obtained by using double folding model for eight different density distributions of 32 S which consist of Ngo, SP, 2pF, G1, G2, S, 3pF, and HFB. The imaginary part of the optical model potential is accepted as the Woods-Saxon (WS) potential. The theoretical results successfully reproduce the experimental data over both a wide energy and a wide target nucleus. Finally, simple and useful formulas which predict imaginary potential depths of each density are derived based on the elastic scattering results.