English

Symmetry-Based Approach to Shape Coexistence in Nuclei

Nuclear Theory 2018-11-06 v2

Abstract

A symmetry-based approach for describing shape-coexistence, is presented in the framework of the interacting boson model of nuclei. It involves a construction of a number-conserving Hamiltonian which preserves the dynamical symmetry of selected bands associated with each shape, while breaking the symmetries in other states. The resulting structure embodies multiple partial dynamical symmetries. The procedure is applied to prolate-oblate and spherical-prolate-oblate coexistence, at and slightly away from the critical points.

Keywords

Cite

@article{arxiv.1810.06804,
  title  = {Symmetry-Based Approach to Shape Coexistence in Nuclei},
  author = {A. Leviatan and N. Gavrielov},
  journal= {arXiv preprint arXiv:1810.06804},
  year   = {2018}
}

Comments

12 pages, 5 figures, Final version, Proc. Int. Workshop on "Shapes and Dynamics of Atomic Nuclei: Contemporary Aspects" (SDANCA-17), October 5-7, 2017, Sofia, Bulgaria. arXiv admin note: substantial text overlap with arXiv:1708.06321, arXiv:1803.03982, arXiv:1605.00782

R2 v1 2026-06-23T04:41:08.469Z