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 $Z=110\ensuremath{-}140$ and $N=134$--$298$. They are found at $(Z=114,N=184)$, $(Z=120,N=172)$, or at $(Z=126,N=184)$, depending on the parametrization.

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