Simultaneous occurrence of distinct symmetries in nuclei

Abstract

We show that distinct emergent symmetries, such as partial dynamical symmetry and quasi dynamical symmetry, can occur simultaneously in the same or different eigenstates of the Hamiltonian. Implications for nuclear spectroscopy in the rare-earth region and for first-order quantum phase transitions between spherical and deformed shapes, are considered.

Comments: 7 pages, 6 figures, Final version, Proc. XXI Int. School on Nuclear Physics and Applications & Int. Symposium on Exotic Nuclei (ISEN-2015), September 6-12, 2015, Varna, Bulgaria