2018/10/28 by A. Leviatan, N. Gavrielov
Physics and Astronomy · #nucl-th
published as Bulg. J. Phys. 45: 22-34, 2018 · 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
arxiv created 2018/10/28 · arxiv updated 2018/11/06
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.