On magic numbers for super- and ultraheavy systems and hypothetical spherical double-magic nuclei

Abstract

Based on the calculations of the shell and the residual pairing correction energies in the framework of Strutinsky's approach, we evaluated the proton and neutron magic numbers in the range 72 ≤ Z ≤ 282 and 96 ≤ N ≤ 540. New magic numbers and new islands of stability lie in a range defined by Green's formula and the two-neutrons drip lines are presented. Our calculations reproduced known spherical double-magic nuclei and present evidences on new spherical double-magic nuclei in super- and ultraheavy regions.