Interaction potential between heavy ions

The semi-microscopic potential between heavy ions is evaluated for various colliding ions in the approach of frozen densities in the framework of the extended Thomas–Fermi approximation with ℏ2 correction terms in the kinetic energy density functional. The proton and neutron densities of each ion are obtained in the Hartree–Fock–Bogoliubov approximation with SkM∗ parameter set of the Skyrme force. An expression for the ion–ion potential well fits the semi-microscopic potentials in the wide range of both colliding ions and distances between them.