Bubble Structure in Magic Nuclei

Abstract

The existence of bubble nuclei identified by the central depletion in nucleonic density is studied for the conventional magic N (Z) $=$ 8, 20, 28, 40, 50, 82, 126 isotones (isotopes) and recently speculated magic N $=$ 164, 184, 228 superheavy isotones. Many new bubble nuclei are predicted in all regions. Study of density profiles, form factor, single particle levels and depletion fraction (DF) across the periodic chart reveals that the central depletion is correlated to shell structure and occurs due to unoccupancy in s-orbit (2s, 3s, 4s) and inversion of (2s, 1d) and (3s, 1h) states in nuclei upto Z $\le$ 82. Bubble effect in superheavy region is a signature of the interplay between the Coulomb and nn-interaction and depletion fraction (DF) is found to increase with Z (Coulomb repulsion) and decrease with isospin. Our results are consistent with the available data. The occupancy in s-state in ${}^{34}$Si increases with temperature which appears to quench the bubble effect.

arXiv comment7 pages, 8 figures, Accepted, Physics Letters B, 2018

References in corpus (20)

• Shell structure of superheavy nuclei in self-consistent mean-field models
• New effective interactions in RMF theory with non-linear terms and density-dependent meson-nucleon coupling
• The effective force NL3 revisited
• Magic numbers for superheavy nuclei in relativistic continuum Hartree-Bogoliubov theory
• Computer program for the relativistic mean field description of the ground state properties of even-even axially deformed nuclei
• A proton density bubble in the doubly magic ${}^{34}$Si nucleus
• Ab initio calculation of the potential bubble nucleus ${}^{34}$Si
• Detecting bubbles in exotic nuclei
• Evolution of the proton sd states in neutron-rich Ca isotopes
• Central depression in nucleonic densities: Trend analysis in nuclear density-functional-theory approach
• Beyond-mean-field study of the possible "bubble" structure of 34Si
• Does a proton "bubble" structure exist in the low-lying states of 34Si?
• Tensor-force effects on single-particle levels and proton bubble structure around the $Z$ or $N=20$ magic number
• Two-Proton Radioactivity with 2p halo in light mass nuclei A$=$18$-$34
• Study of two-proton radioactivity within the relativstic mean-field plus bcs approach
• Low-energy structure and anti-bubble effect of dynamical correlations in 46Ar
• Structure of superheavy nuclei
• Search of double shell closure in the superheavy nuclei using a simple effective interaction
• A relativistic mean field study of multi-strange system
• Distinct ground state features and the decay chains of Z = 121 Superheavy Nuclei

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• Anti-bubble effect of temperature \& deformation: a systematic study for nuclei across all mass regions between A $=$ 20$-$300
• A systematic study of the factors affecting central depletion in nuclei
• Cluster radioactivity in trans-lead region: A systematic study with modified empirical formulas
• Study of Decay Modes in Transfermium Isotopes
• Structural properties and decay modes of Z $=$ 122, 120 and 118 superheavy nuclei
• Structural Properties and $\alpha$-Decay Chains of Transfermium Nuclei (101$\le$Z$\le$110)
• Bubble nuclei: single-particle versus Coulomb interaction effects
• Global analysis of the non-uniformity of nucleon density distributions
• Novel feature of doubly bubble nuclei in 50$\le$Z(N)$\le$82 region along with magicity and weakly bound structure
• Collapse of N$=$28 magicity in exotic ${}^{40}$Mg -- Probe of deformed halo and 2n-radioactivity at Mg neutron drip-line
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