Systematic study of shell gaps in nuclei

Abstract

The nucleon separation energies and shell gaps in nuclei over the whole nuclear chart are systematically studied with eight global nuclear mass models. For unmeasured neutron-rich and super-heavy regions, the uncertainty of the predictions from these different mass models is still large. The latest version (WS4) of the Weizsäcker-Skyrme mass formula, in which the isospin dependence of model parameters is introduced into the macroscopic-microscopic approach inspired by the Skyrme energy-density functional, is found to be the most accurate one in the descriptions of nuclear masses, separation energies and shell gaps. Based on the predicted shell gaps in nuclei, the possible magic numbers in super-heavy nuclei region are investigated. In addition to the shell closures at $N=184,Z=114$, the sub-shell closures at around $N=178,Z=120$ could also play a role for the stability of super-heavy nuclei.

9 figures, to appear in Physical Review C

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Cited by in corpus (8)

• Ground state properties and potential energy surfaces of ${}^{270}$Hs from multidimensionally-constrained relativistic mean field model
• Properties of nuclear matter from macroscopic-microscopic mass formulas
• Examination of promising reactions with ${}^{241}$Am and ${}^{244}$Cm targets for the synthesis of new superheavy elements within the dinuclear system model with a dynamical potential energy surface
• Correlations between neutrons and protons near Fermi surface and $Q_{\alpha }$ of super-heavy nuclei
• Kolmogorov-Arnold networks in nuclear binding energy prediction
• Ground-state properties and structure evolutions of odd-$A$ transuranium Bk isotopes from deformed relativistic Hartree-Bogoliubov theory in continuum
• The role of strangeness and isospin in low density expansions of hadronic matter
• Deformed magic numbers at $N=$178 and $Z=$120, 124 in the 112 $\le N\le$ 190 superheavy region from Skyrme mean-field calculations