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arXiv · 1605.00782

Algebraic benchmark for prolate-oblate coexistence in nuclei

A. Leviatan·D. Shapira
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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 $\overline{\rm SU(3)}$ 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.

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A. Leviatan, D. Shapira. 2016-06-15. Algebraic benchmark for prolate-oblate coexistence in nuclei. https://doi.org/10.1103/physrevc.93.051302

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