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.

arXiv comment5 pages, 4 figures, 1 table

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Cited by in corpus (11)

• The emergent dynamical symmetry at the triple point of nuclear deformations
• Regularity and chaos in 0+ states of the interacting boson model using quantum measures
• Partial dynamical symmetries and shape coexistence in nuclei
• Low-lying states in even Gd isotopes studied with five-dimensional collective Hamiltonian based on covariant density functional theory
• Partial dynamical symmetry in Bose-Fermi systems
• Coexisting partial dynamical symmetries and multiple shapes
• SU(3) partial dynamical symmetry and nuclear shapes
• Partial and quasi dynamical symmetries in quantum many-body systems
• Partial dynamical symmetry and odd-even staggering in deformed nuclei
• Simultaneous occurrence of distinct symmetries in nuclei
• Symmetry Remnants in the Face of Competing Interactions in Nuclei