Islands of stability and quasi-magic numbers for super- and ultra-heavy nuclei

In the framework of Strutinsky's approach, we calculated the shell and the residual pairing correction energies for 5569 even-even nuclei in the range 72 ≤ Z ≤ 282 and 96 ≤ N ≤ 540. Quasi-magic numbers and deformed islands of stability that reside in a range defined by Green's formula and the two-neutrons drip line are introduced. We present 36 quasi-magic proton and 53 quasi-magic neutron magic numbers that contribute to the formation of 133 deformed islands of stability along the N-Z space. The quasi-magic proton and neutron magic numbers volatile as the mass number increases and other magic numbers take over. Consequently, the deformed islands of stability fail to exhibit a pattern along the search space covered.