Landscape of the island of stability with self-consistent mean-field potentials

Incorporating effective nucleon mass from the noncovariant energy-density functional, the Schrodinger-equivalent central and spin-orbit mean-field potentials are determined and used in the microscopic-macroscopic method to calculate the ground-state shell corrections in superheavy nuclei with the charge numbers Z = 112-126. The island of stability of superheavy nuclei is found to be rather flat and looks like one of coral reef origin due to the interplay between the proton shells at Z = 114 and 120, and neutron shells at N = 174 and 184, respectively. The shape coexistence in superheavy nuclei depends on spin-orbit potentials and can affect the spectrum of a decay. The one-quasiparticle spectra, isomeric states, and possible alpha-decay energies are predicted in the nuclei of alpha-decay chains of( 295)119 and (295-297.299)120.