Occupation numbers of spherical orbits in self-consistent beyond-mean-field methods

Abstract

We present a method to compute the number of particles occupying spherical single-particle (SSP) levels within the energy density functional (EDF) framework. These SSP levels are defined for each nucleus by performing self-consistent mean-field calculations. The nuclear many-body states, in which the occupation numbers are evaluated, are obtained with a symmetry conserving configuration mixing (SCCM) method based on the Gogny EDF. The method allows a closer comparison between EDF and shell model with configuration mixing in large valence spaces (SM-CI) results, and can serve as a guidance to define physically sound valence spaces for SM-CI calculations. As a first application of the method, we analyze the onset of deformation in neutron-rich $N=40$ isotones and the role of the SSP levels around this harmonic oscillator magic number, with particular emphasis in the structure of ${}^{64}$Cr.

11 pages, 5 Figures

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Cited by in corpus (12)

• Status and Future of Nuclear Matrix Elements for Neutrinoless Double-Beta Decay: A Review
• Mean field and beyond description of nuclear structure with the Gogny force: A review
• The Neutron-Rich Edge of the Nuclear Landscape. Experiment and Theory
• Neutrinoless $\beta \beta$ decay mediated by the exchange of light and heavy neutrinos: The role of nuclear structure correlations
• Rotating deformed halo nuclei and shape decoupling effects
• Precision Mass Measurement of ${}^{58-63}$Cr: Nuclear Collectivity towards the \emph{N}=40 Island of Inversion
• Shell evolution of $N=40$ isotones towards ${}^{60}$Ca: First spectroscopy of ${}^{62}$Ti
• Variational approximations to exact solutions in shell-model valence spaces: calcium isotopes in the pf-shell
• Shape coexistence in the neutron-deficient ${}^{188}$Hg investigated via lifetime measurements
• Large enhancement of total reaction cross sections at the edge of the island of inversion in Ti, Cr, and Fe isotopes
• Gamow-Teller response in the configuration space of DFT-rooted no-core configuration-interaction model
• Multiple shape coexistence near Sn118: First 03+ lifetime measurement