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

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 ${\delta }_{2n(p)}$. 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.

3 figures, 1 table, and 5 pages

References in corpus (11)

• Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
• The Skyrme Interaction in finite nuclei and nuclear matter
• Shell Structure and $\rho$-Tensor Correlations in Density-Dependent Relativistic Hartree-Fock theory
• Covariant theory of particle-vibrational coupling and its effect on the single-particle spectrum
• Evolution of Nuclear Shell Structure due to the Pion Exchange Potential
• Nuclear halo structure and pseudo-spin symmetry
• Central depression in nuclear density and its consequences for the shell structure of superheavy nuclei
• Non-local mean field effect on nuclei near Z=64 sub-shell
• Pseudospin symmetry in supersymmetric quantum mechanics: II. Spin-orbit effects
• Spurious Shell Closures in the Relativistic Mean Field Model
• Odd-even staggerings on nuclear binding energy described by the covariant density functional theory

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