Landscape of the island of stability with self-consistent mean-field potentials
L.A. Malov, G. G. Adamian, N. V. Antonenko, H. Lenske
Abstract
Incorporating effective nucleon mass from the noncovariant energy-density functional, the Schr\"odinger-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 $\ensuremath{\alpha}$ decay. The one-quasiparticle spectra, isomeric states, and possible $\ensuremath{\alpha}$-decay energies are predicted in the nuclei of $\ensuremath{\alpha}$-decay chains of $^{295}119$ and $^{295--297,299}120$.