Search of islands of stability for hypothetical superheavy nuclei using covariant density functional theory

Abstract

A systematic search for the location of islands of stability has been performed for the proton number 100 < Z < 220 and the neutron number Z +30 < N < 2Z +30 using the Covariant Density Functional Theory (CDFT), a Relativistic Hartree-Bogoliubov (RHB) formalism with separable pairing, for two different force parameters DD-ME2 and NL3*. Location of the islands of stability are identified by the analysis of the two neutron and the two proton separation energy, two nucleon shell gaps, vanishing neutron and proton pairing gap, energy surface and the single particle states. The results show that beyond 120 292 only Z = 154 and N> 220 can be a center of new island of stability.