Abstract
Using the microscopic-macroscopic approach based on the modified two-center shell model, the ground-state shell corrections are analyzed as a function of spin-orbit strength for even-$Z$ superheavy nuclei in the $\ensuremath{\alpha}$-decay chains containing $^{295--300,302,304}120$ nuclei. The influence of the spin-orbit strength on the positions of shell closures and the description of the low-lying one-quasiparticle spectra for $^{251}\mathrm{Cf}, ^{243}\mathrm{Cm}, ^{243}\mathrm{Bk}$, and $^{251}\mathrm{Es}$ nuclei are studied in detail. The importance of studying the nuclear structure of actinides for predicting the next double magic nucleus beyond $^{208}\mathrm{Pb}$ is demonstrated.
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