Density-dependent effect on alpha -¹²C elastic scattering

Abstract

An analytical expression for the real part of the folding potential, using a density-dependent effective interaction, is derived by taking the density of the 12C nucleus according to Brink's alpha -particle model. The present model has succeeded, particularly at large angles, in describing the rainbow scattering observed in the elastic scattering of alpha -particles by 12C at the energies 104, 139 and 166 MeV respectively. The density-dependent parameter beta is found to be energy independent.