Toward a systematic nucleus-nucleus potential for peripheral collisions

Abstract

A systematic nucleus-nucleus potential is proposed based on an optical model analysis of angular distributions of differential cross sections of ${}^{6}$Li and ${}^{7}$Li elastic scattering from targets with $A\ensuremath{\ge}40$ with incident energies between 5 and 40 MeV/nucleon. A single-folding model based on the Bruy\`eres Jeukenne-Lejeune-Mahaux (JLMB) model nucleon-nucleus potentials was used. Systematics in energy dependence of the potential parameters were obtained. This systematics was found to give reasonable account for both elastic scattering and total reaction cross sections for projectiles with mass numbers up to $A\ensuremath{\sim}40$, including both stable and unstable nuclei, for incident energies from the vicinity of the Coulomb barrier to about 100 MeV/nucleon.