Anti-bubble effect of temperature \& deformation: a systematic study for nuclei across all mass regions between A $=$ 20$-$300

Abstract

Temperature dependent relativistic mean-field (RMF) plus BCS approach has been used for the first time to investigate the anti-bubble effect of the temperature and deformation in the light, medium-heavy and superheavy nuclei. Influence of temperature is studied on density distribution, charge form-factor, single particle (s.p.) energies, occupancy, deformation and the depletion fraction (DF). At T $=$ 0, the quenching effect of deformation is predominant. DF is found usually less in oblate deformation than in prolate. DF decreases with increasing prolate deformation even though the 2s-orbit is empty which shows the role of deformation in central depletion apart from the unoccupancy in s-orbit as is usually believed. As T increases, the occupancy of s-orbit increases, shell structure melts, the deformation vanishes and the weakening of central depletion is solely due to the temperature. The bubble effect is eliminated at T $\approx$ 3$-$5 MeV as indicated by DF and the charge form factor. The temperature effect is found less prominent in superheavy bubble nuclei where the role of shell effects is indicated.

arXiv comment9 pages, 9 figures, Accepted

References in corpus (31)

• Nuclear ground-state masses and deformations: FRDM(2012)
• Mean-field description of ground-state properties of drip-line nuclei: Pairing and continuum effects
• Skyrme-Hartree-Fock-Bogoliubov nuclear mass formulas: Crossing the 0.6 MeV threshold with microscopically deduced pairing
• The effective force NL3 revisited
• A proton density bubble in the doubly magic ${}^{34}$Si nucleus
• Relativistic mean field theory for deformed nuclei with pairing correlations
• Ab initio calculation of the potential bubble nucleus ${}^{34}$Si
• Detecting bubbles in exotic nuclei
• Glauber-model analysis of total reaction cross sections for Ne, Mg, Si, and S isotopes with Skyrme-Hartree-Fock densities
• 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?
• Bubble Structure in Magic Nuclei
• 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
• Large Nuclear shape transition at finite temperature in a relativistic mean field approach
• Description of Drip-Line Nuclei within Relativistic Mean-Field Plus BCS Approach
• Modified Hartree-Fock-Bogoliubov at finite temperature
• 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
• Pairing effect on the giant dipole resonance width at low temperature
• Structure of superheavy nuclei
• Exact and approximate ensemble treatments of thermal pairing in a multilevel model
• Pairing within the self-consistent quasiparticle random-phase approximation at finite temperature
• Study of Neutron Magic Drip-Line Nuclei within Relativistic Mean Field plus BCS Approach
• Elastic and quasi-elastic electron scattering on the N = 14, 20, and 28 isotonic chains
• A relativistic mean field study of multi-strange system
• Ternary fission within the temperature dependent relativistic mean field approach
• Anatomy of nuclear shape transition in the relativistic mean field theory
• Relative mass distributions of neutron-rich thermally fissile nuclei within statistical model

Cited by in corpus (8)

• Bubble nuclei with shape coexistence in even-even isotopes of Hf to Hg
• A new empirical formula for α-decay half-life and decay chains of Z=120 isotopes
• Imprint of nuclear bubble in nucleon-nucleus diffraction
• A systematic study of the factors affecting central depletion in nuclei
• Study of Decay Modes in Transfermium Isotopes
• Structural properties and decay modes of Z $=$ 122, 120 and 118 superheavy nuclei
• 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