The problem of stability at superheavy nuclei
Finite nuclei are calculated in the statistical model of Thomas and Fermi. The density distribution of the particles is assumed as spherical and approximated by Fermi II. The description of the potential energy is based on known many-body theories of the nuclear matter and the neutron gas using non-local forces. A numerical fit is made to the realistic nuclei and the calculations of the binding energy and density are extrapolated to superheavy systems. No stability is found if the nucleon number exceeds 300.