Beyond-mean-field study of the possible "bubble" structure of 34Si

Abstract

Recent self-consistent mean-field calculations predict a substantial depletion of the proton density in the interior of 34Si. In the present study, we investigate how correlations beyond the mean field modify this finding. The framework of the calculation is a particle-number and angular-momentum projected Generator Coordinate Method based on Hartree-Fock-Bogoliubov+Lipkin-Nogami states with axial quadrupole deformation. The parametrization SLy4 of the Skyrme energy density functional is used together with a density-dependent pairing energy functional. For the first time, the generator coordinate method is applied to the calculation of charge and transition densities. The impact of pairing correlations, symmetry restorations and shape mixing on the density profile is analyzed step by step. All these effects significantly alter the radial density profile, and tend to bring it closer to a Fermi-type density distribution.

9 pages, 7 figures

References in corpus (3)

• Configuration mixing of angular-momentum and particle-number projected triaxial HFB states using the Skyrme energy density functional
• Beyond the relativistic mean-field approximation (II): configuration mixing of mean-field wave functions projected on angular momentum and particle number
• Detecting bubbles in exotic nuclei

Cited by in corpus (14)

• A proton density bubble in the doubly magic ${}^{34}$Si nucleus
• Projection on particle number and angular momentum: Example of triaxial Bogoliubov quasiparticle states
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• Bubble nuclei with shape coexistence in even-even isotopes of Hf to Hg
• Beyond mean-field study of elastic and inelastic electron scattering off nuclei
• A systematic study of the factors affecting central depletion in nuclei
• Spin-orbit interaction in relativistic nuclear structure models
• Bubble nuclei: single-particle versus Coulomb interaction effects
• Pairing properties and specific heat of the inner crust of a neutron star
• A relativistic mean field study of multi-strange system
• Properties of ${}^{208}$Pb predicted from the relativistic equation of state in the full Dirac space
• Symmetry restoration methods
• Global analysis of the non-uniformity of nucleon density distributions
• Quest for magicity in hypernuclei