Algebraic benchmark for prolate-oblate coexistence in nuclei

Abstract

We present a symmetry-based approach for prolate-oblate and spherical-prolate-oblate shape coexistence, in the framework of the interacting boson model of nuclei. The proposed Hamiltonian conserves the SU(3) and $\overline{\mathrm{SU}(3)}$ symmetry for the prolate and oblate ground bands and the U(5) symmetry for selected spherical states. Analytic expressions for quadrupole moments and $E2$ rates involving these states are derived and isomeric states are identified by means of selection rules.

5 pages, 3 figures, published version

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• Shape phase transitions in odd-A Zr isotopes
• Prolate-oblate asymmetric shape phase transition in the interacting boson model with SU (3) higher-order interactions
• Partial dynamical symmetries and shape coexistence in nuclei
• Shape coexistence close to $N=50$ in the neutron-rich isotope ${}^{80}$Ge investigated by IBM-2
• Partial dynamical symmetry and the vibrational structure of Cd isotopes
• Quantum catastrophes from an algebraic perspective
• Partial dynamical symmetry from energy density functionals
• Description of the critical point symmetry in 124Te by IBM-2
• Coexisting partial dynamical symmetries and multiple shapes
• The pervasiveness of shape coexistence in nuclear pair condensates
• Study of shape coexistence in the 180-190Hg isotopes by SO(6) representation of eigenstates
• SU(3) partial dynamical symmetry and nuclear shapes
• Aspects of Shape Coexistence in the Geometric Collective Model of Nuclei
• Dynamical Symmetries and Beyond: Lessons and Advances