Real part of ion-ion interaction potential, using energy density formalism

The real part of ion-ion interaction potential is generated within the framework of energy density formalism using Brueckner's sudden approximation. The energy density is calculated by using a simple effective interaction consisting of a density dependent delta-function repulsion and a single Gaussian attraction. This interaction gives good results for various properties of nuclear matter and three double-closed-shell nuclei 4He, 16O and 40Ca. The simple analytic form of the energy density, is used to calculate the real part of ion-ion potential for 16O-16O, 40Ca-16O and 40Ca-40Ca. A Thomas-Fermi approximation is used for the kinetic energy density, thereby taking antisymmetrization effects approximately. The positions and heights of the interaction barriers, calculated for the three pairs of nuclei are in good agreement with those obtained by Brink and Stancu (1976), using Skyrme force. (auth.)