Microscopic study of the ${}^7$Li-nucleus potential

Abstract

The optical potential without any free parameters for ${}^7$Li-nucleus interaction system is studied in a microscopic approach. It is obtained by folding the microscopic optical potentials of the constituent nucleons of ${}^7$Li over their density distributions. We employ an isospin-dependent nucleon microscopic optical potential, which is based on the Skyrme nucleon-nucleon effective interaction and derived by using the Green's function method, to be the nucleon optical potential. Harmonic oscillator shell model is used to describe the internal wave function of ${}^7$Li and get the nucleon density distribution. The ${}^7$Li microscopic optical potential is used to predict the reaction cross sections and elastic scattering angular distributions for target range from ${}^{27}$Al to ${}^{208}$Pb and energy range below 450 MeV. Generally the results can reproduce the measured data reasonably well. In addition, the microscopic optical potential is comparable to a global phenomenological optical potential in fitting the presently existing measured data generally.

Comments: 16 pages, 14 figures