Energy Density Functional analysis of shape evolution in N=28 isotones

Abstract

The structure of low-energy collective states in proton-deficient N=28 isotones is analyzed using structure models based on the relativistic energy density functional DD-PC1. The relativistic Hartree-Bogoliubov model for triaxial nuclei is used to calculate binding energy maps in the $\beta$-$\gamma$ plane. The evolution of neutron and proton single-particle levels with quadrupole deformation, and the occurrence of gaps around the Fermi surface, provide a simple microscopic interpretation of the onset of deformation and shape coexistence. Starting from self-consistent constrained energy surfaces calculated with the functional DD-PC1, a collective Hamiltonian for quadrupole vibrations and rotations is employed in the analysis of excitation spectra and transition rates of ${}^{46}$Ar, ${}^{44}$S, and ${}^{42}$Si. The results are compared to available data, and previous studies based either on the mean-field approach or large-scale shell-model calculations. The present study is particularly focused on ${}^{44}$S, for which data have recently been reported that indicate pronounced shape coexistence.

31 pages, 11 figures. arXiv admin note: text overlap with arXiv:1102.4193

References in corpus (24)

• The Shell Model as Unified View of Nuclear Structure
• Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
• Nuclear magic numbers: new features far from stability
• New parametrization for the nuclear covariant energy density functional with point-coupling interaction
• Relativistic Nuclear Energy Density Functionals: Mean-Field and Beyond
• Relativistic Nuclear Energy Density Functionals: adjusting parameters to binding energies
• Structure of even-even nuclei using a mapped collective Hamiltonian and the D1S Gogny interaction
• A finite range pairing force for density functional theory in superfluid nuclei
• Collapse of the N=28 shell closure in ${}^{42}$Si
• Beyond the relativistic mean-field approximation (III): collective Hamiltonian in five dimensions
• A new effective interaction for $0\hslash \omega$ shell model calculations in the sdpf valence space
• 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
• Microscopic Analysis of Nuclear Quantum Phase Transitions in the N=90 region
• Shell Model Study of the Neutron-Rich Nuclei around N=28
• Relativistic Hartree-Bogoliubov description of the deformed N = 28 region
• A Dirac-Hartree-Bogoliubov approximation for finite nuclei
• Prolate-Spherical Shape Coexistence at N=28 in ${}^{44}$S
• 3D Relativistic Hartree-Bogoliubov model with a separable pairing interaction
• Microscopic description of large-amplitude shape-mixing dynamics with inertial functions derived in local quasiparticle random-phase approximation
• Shell Model Monte Carlo studies of neutron-rich nuclei in the 1s-0d-1p-0f shells
• The N=28 shell closure; from N=Z to the neutron drip line
• Measurement of excited states in 40Si and evidence for weakening of the N=28 shell gap

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• Superheavy nuclei in microscopic collective Hamiltonian approach: the impact of beyond mean field correlations on the ground state and fission properties
• Global analysis of quadrupole shape invariants based on covariant energy density functionals
• Low-energy structure and anti-bubble effect of dynamical correlations in 46Ar
• Islands of shape coexistence from single-particle spectra in covariant density functional theory
• Triaxially deformed relativistic point-coupling model for $\Lambda$ hypernuclei: a quantitative analysis of hyperon impurity effect on nuclear collective properties
• The Low-Energy Quadrupole Mode of Nuclei
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• Properties of exotic nuclei and their linkage to the nucleonic interaction
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• Study of Neutron Magic Drip-Line Nuclei within Relativistic Mean Field plus BCS Approach
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• Low-lying 2${}^{+}$ states generated by $pn$-quadrupole correlation and $N=28$ shell quenching
• Low-lying states in even Gd isotopes studied with five-dimensional collective Hamiltonian based on covariant density functional theory
• Global performance of multireference density functional theory for low-lying states in $sd$-shell nuclei
• Shape transition and coexistence in Te isotopes studied with the quadrupole collective Hamiltonian based on a relativistic energy density functional
• Triaxial-shape dynamics in the low-lying excited $0^{+}$ state: Role of the collective mass
• Evolution of $N=28$ shell closure in relativistic continuum Hartree-Bogoliubov theory
• Collapse of N$=$28 magicity in exotic ${}^{40}$Mg -- Probe of deformed halo and 2n-radioactivity at Mg neutron drip-line