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arXiv · 1303.2765

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

Jia Jie Li·Wen Hui Long·Jerome Margueron·Nguyen Van Giai
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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 $δ_{2n(p)}$. Although the results depend slightly on the effective Lagrangians used, the general set of magic numbers beyond $^{208}$Pb are predicted to be $Z = 120$, $138$ for protons and $N = 172$, 184, 228 and 258 for neutrons, respectively. Specifically the RHFB calculations favor the nuclide $^{304}$120 as the next spherical doubly magic one beyond $^{208}$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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Jia Jie Li, Wen Hui Long, Jerome Margueron, Nguyen Van Giai. 2014-07-23. Superheavy magic structures in the relativistic Hartree-Fock-Bogoliubov approach. https://doi.org/10.1016/j.physletb.2014.03.031

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