Linking partial and quasi dynamical symmetries in rotational nuclei

Abstract

Background: Quasi dynamical symmetries (QDS) and partial dynamical symmetries (PDS) play an important role in the understanding of complex systems. Up to now these symmetry concepts have been considered to be unrelated. Purpose: Establish a link between PDS and QDS and find an emperical manifestation. Methods: Quantum number fluctuations and the intrinsic state formalism are used within the framework of the interacting boson model of nuclei. Results: A previously unrecognized region of the parameter space of the interacting boson model that has both O(6) PDS (purity) and SU(3) QDS (coherence) in the ground band is established. Many rare-earth nuclei approximately satisfying both symmetry requirements are identified. Conclusions: PDS are more abundant than previously recognized and can lead to a QDS of an incompatible symmetry.

5 pages, 4 figures, 1 table

References in corpus (4)

• 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
• Partial dynamical symmetry as a selection criterion for many-body interactions

Cited by in corpus (5)

• The emergent dynamical symmetry at the triple point of nuclear deformations
• Partial dynamical symmetries and shape coexistence in nuclei
• Partial dynamical symmetry in Bose-Fermi systems
• Partial and quasi dynamical symmetries in quantum many-body systems
• Partial dynamical symmetry and odd-even staggering in deformed nuclei