Shape coexistence in the microscopically guided interacting boson model

Abstract

Shape coexistence has been a subject of great interest in nuclear physics for many decades. In the context of the nuclear shell model, intruder excitations may give rise to remarkably low-lying excited $0^{+}$ states associated with different intrinsic shapes. In heavy open-shell nuclei, the dimension of the shell-model configuration space that includes such intruder excitations becomes exceedingly large, thus requiring a drastic truncation scheme. Such a framework has been provided by the interacting boson model (IBM). In this article we address the phenomenon of shape coexistence and its relevant spectroscopy from the point of view of the IBM. A special focus is placed on the method developed recently which makes use of the link between the IBM and the self-consistent mean-field approach based on the nuclear energy density functional. The method is extended to deal with various intruder configurations associated with different equilibrium shapes. We assess the predictive power of the method and suggest possible improvements and extensions, by considering illustrative examples in the neutron-deficient Pb region, where shape coexistence has been experimentally studied.

20 pages, 8 figures; To appear in focus issue of Journal of Physics G "Shape coexistence in nuclei"

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• Large-scale shell-model calculations on the spectroscopy of $N<126$ Pb isotopes
• Signatures for shape coexistence and shape/phase transitions in even-even nuclei
• Algebraic benchmark for prolate-oblate coexistence in nuclei
• Interplay between shape-phase transitions and shape coexistence in the Zr isotopes
• Pairing vibrations in the interacting boson model based on density functional theory
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• Overview of Seniority Isomers
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• Geometry of Configuration Mixing in Bose-Fermi Systems
• Description of the critical point symmetry in 124Te by IBM-2
• Weakening of $N=28$ shell gap and the nature of $0_2^{+}$ states
• Study of shape coexistence in the 180-190Hg isotopes by SO(6) representation of eigenstates
• Bohr-Mottelson Hamiltonian with octic potential applied to the ${}^{106-116}$Cd isotopes
• 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
• Probing Quadruple Deformation in Transitional Nuclei via Angular Momentum Projection