  The semi-microscopic potential between heavy nuclei is evaluated for various
colliding ions in the approach of frozen densities in the framework of the
extended Thomas-Fermi approximation with hbar^2 correction terms in the kinetic
energy density functional. The proton and neutron densities of each nucleus are
obtained in the Hartree-Fock-BCS approximation with SkM* parameter set of the
Skyrme force. A simple expression for the nuclear interaction potential between
spherical nuclei is presented. It is shown that muon bound with light
projectile induces the superheavy elements production in nucleus-nucleus
collisions.
