We investigate the non-locality parameters $ \beta $ in nucleon-nucleus interactions for $ ^{ 16}\mathrm{ O} $, $ ^{ 40}\mathrm{ Ca} $, $ ^{ 48}\mathrm{ Ca} $, and $ ^{ 208}\mathrm{ Pb} $ using a microscopic optical potential (MOP) derived from nuclear structure models based on Skyrme self-consistent mean-field calculations at low incident energies. No ad hoc adjusted parameters were employed in the present calculations. The analysis reveals that the non-locality parameter exhibits a clear dependence on the radial position within the nucleus, the incident nucleon energy, and the choice of target nucleus. At incident energies below $30$ MeV, the $ \beta $ lies between $0.8$ fm and $1.2$ fm for all considered targets. For the light nucleus $^{ 16}\mathrm{ O}$, the non-locality parameter in the interior is smaller than that on the surface, whereas for medium and heavy nuclei $( ^{ 40}\mathrm{ Ca} $, $ ^{ 48}\mathrm{ Ca} $, and $ ^{ 208}\mathrm{ Pb} $ ), the values are comparable in both regions.
Categories: nucl-th