Quadrupole Collective Dynamics from Energy Density Functionals: Collective Hamiltonian and the Interacting Boson Model

Abstract

Microscopic energy density functionals (EDF) have become a standard tool for nuclear structure calculations, providing an accurate global description of nuclear ground states and collective excitations. For spectroscopic applications this framework has to be extended to account for collective correlations related to restoration of symmetries broken by the static mean field, and for fluctuations of collective variables. In this work we compare two approaches to five-dimensional quadrupole dynamics: the collective Hamiltonian for quadrupole vibrations and rotations, and the Interacting Boson Model. The two models are compared in a study of the evolution of non-axial shapes in Pt isotopes. Starting from the binding energy surfaces of ${}^{192,194,196}$Pt, calculated with a microscopic energy density functional, we analyze the resulting low-energy collective spectra obtained from the collective Hamiltonian, and the corresponding IBM-2 Hamiltonian. The calculated excitation spectra and transition probabilities for the ground-state bands and the $\gamma$-vibration bands are compared to the corresponding sequences of experimental states.

10 pages, 4 figures; to be published in Phys. Rev. C

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Cited by in corpus (15)

• Nuclear shape coexistence: A study of the even-even Hg isotopes using the interacting boson model with configuration mixing
• Shape evolution and shape coexistence in Pt isotopes: comparing interacting boson model configuration mixing and Gogny mean-field energy surfaces
• Shape coexistence in even-even nuclei: A theoretical overview
• Nuclear shape coexistence in Po isotopes: An interacting boson model study
• Islands of shape coexistence from single-particle spectra in covariant density functional theory
• The Low-Energy Quadrupole Mode of Nuclei
• Partial dynamical symmetry as a selection criterion for many-body interactions
• Evolution of E2 transition strength in deformed hafnium isotopes from new measurements on ${}^{172}$Hf, ${}^{174}$Hf, and ${}^{176}$Hf
• Algebraic benchmark for prolate-oblate coexistence in nuclei
• Partial dynamical symmetries and shape coexistence in nuclei
• Interplay between pairing and triaxial shape degrees of freedom in Os and Pt nuclei
• Extended triaxial projected shell model approach for odd-neutron nuclei
• Transition probabilities in the U(6) limit of the Symplectic Interacting Vector Boson Model
• Axial asymmetry in the IVBM
• Transition probabilities in the $U(3,3)$ limit of the symplectic IVBM