Superheavy magic structures in the relativistic Hartree-Fock-Bogoliubov approach

preprint2014arXivOpen access

Abstract

We have explored the occurrence of the spherical shell closures for superheavy nuclei in the framework of the relativistic Hartree-Fock-Bogoliubov (RHFB) theory. Shell effects are characterized in terms of two-nucleon gaps δ2n(p)δ_{2n(p)}. Although the results depend slightly on the effective Lagrangians used, the general set of magic numbers beyond 208^{208}Pb are predicted to be Z=120Z = 120, 138138 for protons and N=172N = 172, 184, 228 and 258 for neutrons, respectively. Specifically the RHFB calculations favor the nuclide 304^{304}120 as the next spherical doubly magic one beyond 208^{208}Pb. Shell effects are sensitive to various terms of the mean-field, such as the spin-orbit coupling, the scalar and effective masses.

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