A factorized density-dependent interaction in the folding model for heavy-ion potentials

Abstract

The real part of the optical model potential for heavy ion elastic scattering is calculated in a folding model approximation, using a density-dependent M3Y interaction. The density dependence is assumed to be of a factorized form, consisting of a projectile term and a target term, and is characterized by two parameters, the strength parameter (C) and the density-dependence parameter (β). The value of C is obtained by fitting the potential value at the strong absorption radius as obtained by Satchler and Love, whereas the value of β is kept fixed at 1.01, in accordance with an earlier analysis of alpha particle elastic scattering data. For heavy ions in the energy range of 4–9 MeV per nucleon the value obtained for C is ⋍ 1.3 but for three cases of ⁴⁰Ar at 44 MeV per nucleon the value is $\text{C ⋍ 0.8}$ The value of C for low energy heavy ions agrees closely with the values obtained from alpha particle elastic scattering analysis in the energy range of 25–43 MeV per nucleon.