Abstract
We construct a new phenomenological nucleus-nucleus optical potential based on the interesting potential developed by Ginocchio that has the versatility to control the surface and volume regions of the potential. Using this potential with suitable energy dependence of some of the parameters, we are able to fit remarkably well experimental results of the differential scattering cross section for the $^{16}\mathrm{O}+^{28}\mathrm{Si}$ system in the center-of-mass energy ${E}_{c.m.}$ range from 18.67 to 90.681 MeV and the excitation function in the ${E}_{c.m.}$ range from 13.0 to 52.0 MeV. We also fit equally well the exhaustive experimental differential scattering data available for the $^{12}\mathrm{C}+^{24}\mathrm{Mg}$ system in the ${E}_{c.m.}$ range from 10.67 to 16.0 MeV. The new optical potential used has significantly fewer parameters. The results are interpreted in terms of wave mechanical aspects leading to superposition of partial waves undergoing different phase shifts generated by an optical potential characterized by volume and surface parts.
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