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 ℏ2correction 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. © 2004 American Institute of Physics