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.

arXiv comment9 pages, 7 figures

References in corpus (12)

• Shell structure of superheavy nuclei in self-consistent mean-field models
• Global study of quadrupole correlation effects
• Triaxial Angular Momentum Projection and Configuration Mixing calculations with the Gogny force
• Configuration mixing of angular-momentum projected triaxial relativistic mean-field wave functions
• Configuration mixing of angular-momentum and particle-number projected triaxial HFB states using the Skyrme energy density functional
• Configuration Mixing within the Energy Density Functional Formalism: Removing Spurious Contributions from Non-Diagonal Energy Kernels
• Beyond the relativistic mean-field approximation (II): configuration mixing of mean-field wave functions projected on angular momentum and particle number
• Angular momentum projected analysis of Quadrupole Collectivity in \protect(^{30,32,34}Mg\protect) and \protect(^{32,34,36,38}Si\protect) with the Gogny interaction
• Detecting bubbles in exotic nuclei
• Ab-initio approach to effective single-particle energies in doubly closed shell nuclei
• Mean-field Based Approaches to Pairing Correlations in Atomic Nuclei
• On the Shell Structure of Nuclear Bubbles

Cited by in corpus (31)

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• Properties of exotic nuclei and their linkage to the nucleonic interaction
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• A systematic study of the factors affecting central depletion in nuclei
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• Restoration of pseudo-spin symmetry in $N=32$ and $34$ isotones described by relativistic Hartree-Fock theory
• Global performance of multireference density functional theory for low-lying states in $sd$-shell nuclei
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• Quantum and Coulomb repulsion effects on the bubble structures in ${}^{204,206}$Hg
• Global analysis of the non-uniformity of nucleon density distributions
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• Quest for magicity in hypernuclei