Structure of even-even Cadmium isotopes from the beyond-mean-field interacting boson model

Abstract

The structure of even-even ${}^{108-116}$Cd isotopes is investigated based on the self-consistent mean-field approach. By mapping the quadrupole-$(\beta ,\gamma )$ deformation energy surface, obtained from the constrained self-consistent mean-field calculations with a choice of the Skyrme force and pairing property, onto the Hamiltonian of the interacting boson model with configuration mixing, the strength parameters of the Hamiltonian are determined. The low-lying excitation spectra and electric quadrupole transition rates for the considered Cd nuclei are computed by the resultant Hamiltonian, and are compared in detail with the experimental data. Our semi-microscopic prediction identifies several intruder states as suggested empirically, and overall, provides a reasonable qualitative description of the experimental energy levels and transition rates.

9 pages, 4 figures, 4 tables

References in corpus (4)

• Solution of the Skyrme HF+BCS equation on a 3D mesh. II. A new version of the Ev8 code
• Shape coexistence in Lead isotopes in the interacting boson model with Gogny energy density functional
• On the origin of the anomalous behaviour of 2+ excitation energies in the neutron-rich Cd isotopes
• Shell model based deformation analysis of light Cadmium isotopes

Cited by in corpus (10)

• Shape coexistence in even-even nuclei: A theoretical overview
• Quadrupole Phonons in the Cadmium Isotopes
• Collective-model description of shape coexistence and intruder states in cadmium isotopes based on a relativistic energy density functional
• Persistent vibrational structure in ${}^{110-116}$Cd
• Mean-field calculations of charge radii in ground and isomeric states of Cd isotopes
• Mapped interacting boson model for nuclear structure studies
• Systematic shell-model study of ${}^{99-129}$Cd isotopes and isomers in neutron-rich ${}^{127-131}$In isotopes
• Systematic shell-model study of ${}^{98-130}$Cd isotopes and $8^{+}$ isomeric states
• Effects of shape coexistence and configuration mixing on low-lying states in tellurium isotopes
• Coexistence and evolution of shapes: mean-field-based interacting boson model