Superheavy nuclei in self-consistent nuclear calculations

The shell structure of superheavy nuclei is investigated within various parametrizations of relativistic and nonrelativistic nuclear mean-field models. The heaviest known even-even nucleus ${}_{156}^{264}{\mathrm{Hs}}_{108}$ is used as a benchmark to estimate the predictive value of the models. From that starting point, doubly magic spherical nuclei are searched in the region $Z=110\mathrm{}-140$ and $N=134\mathrm{}$–$298$. They are found at $(Z=114\mathrm{},N=184)$, $(Z=120\mathrm{},N=172)$, or at $(Z=126\mathrm{},N=184)$, depending on the parametrization.