Correlations between neutrons and protons near Fermi surface and $Q_{\alpha }$ of super-heavy nuclei

Abstract

The shell corrections and shell gaps in nuclei are systematically studied with the latest Weizsäcker-Skyrme (WS4) mass model. We find that most of asymmetric nuclei with (sub)-shell closures locate along the shell stability line (SSL), $N=1.37Z+13.5$, which might be due to a strong correlation between neutrons and protons near Fermi surface. The double magicity of nuclei ${}^{46}$Si and ${}^{78}$Ni is predicted according to the corresponding shell gaps, shell corrections and nuclear deformations. The unmeasured super-heavy nuclei ${}^{296}$118 and ${}^{298}$120, with relatively large shell gaps and shell corrections, also locate along the SSL, whereas the traditional magic nucleus ${}^{298}$Fl evidently deviates from the line. The $\alpha$-decay energies of super-heavy nuclei with $Z=113-126$ are simultaneously investigated by using the WS4 model together with the radial basis function corrections. For super-heavy nuclei with large shell corrections, the smallest $\alpha$-decay energy for elements $Z=116$, 117 and 118 in their isotope chains locates at $N=178$ rather than $184$.

arXiv commentto appear in Phys. Rev. C

References in corpus (15)

• Nuclear Ground-State Masses and Deformations
• New parametrization for the nuclear covariant energy density functional with point-coupling interaction
• Surface diffuseness correction in global mass formula
• The impact of individual nuclear properties on $r$-process nucleosynthesis
• Superheavy nuclei in selfconsistent nuclear calculations
• Further improvements on a global nuclear mass model
• Modification of mass formula by considering isospin effects
• On the nuclear robustness of the r process in neutron-star mergers
• Mirror nuclei constraint in mass formula
• Nuclear mass predictions with radial basis function approach
• Superheavy magic structures in the relativistic Hartree-Fock-Bogoliubov approach
• Nuclear symmetry energy at subnormal densities from measured nuclear masses
• Radial basis function approach in nuclear mass predictions
• Systematic study of shell gaps in nuclei
• Mass dependence of symmetry energy coefficients in Skyrme force

Cited by in corpus (10)

• Quark-Meson-Coupling (QMC) model for finite nuclei, nuclear matter and beyond
• Systematic study of $\alpha$ decay for isomer related nuclei within a two-potential approach
• $\alpha$-decay properties of ${}^{296}118$ from double-folding potentials
• $\alpha$ decay properties of nucleus ${}^{297}$Og within two-potential approach
• Superheavy Nuclei in the Quark-Meson-Coupling Model
• Improvement on Fermionic properties and new isotope production in molecular dynamics simulations
• Inducing chiral superconductivity on honeycomb lattice systems
• $\alpha$ decay properties of ${}^{296}$Og within the two-potential approach
• Correlation between the charge radii difference in mirror partner nuclei and the symmetry energy slope
• Deformed magic numbers at $N=$178 and $Z=$120, 124 in the 112 $\le N\le$ 190 superheavy region from Skyrme mean-field calculations