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.

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

References in corpus (10)

• Partial conservation of seniority and nuclear isomerism
• Partial Dynamical Symmetry at Critical-Points of Quantum Phase Transitions
• Partial dynamical symmetry in quantum Hamiltonians with higher-order terms
• Seniority in quantum many-body systems. I. Identical particles in a single shell
• First-order quantum phase transitions: test ground for emergent chaoticity, regularity and persisting symmetries
• Partial dynamical symmetry as a selection criterion for many-body interactions
• Linking partial and quasi dynamical symmetries in rotational nuclei
• Evolution of order and chaos across a first-order quantum phase transition
• Regularity and chaos at critical points of first-order quantum phase transitions
• Partial dynamical symmetry in Bose-Fermi systems