SU(3) quasidynamical symmetry underlying the Alhassid--Whelan arc of regularity

Abstract

The first example of an empirically manifested quasi dynamical symmetry trajectory in the interior of the symmetry triangle of the Interacting Boson Approximation model is identified for large boson numbers. Along this curve, extending from SU(3) to near the critical line of the first order phase transition, spectra exhibit nearly the same degeneracies that characterize the low energy levels of SU(3). This trajectory also lies close to the Alhassid-Whelan arc of regularity, the unique interior region of regular behavior connecting the SU(3) and U(5) vertices, thus offering a possible symmetry-based interpretation of that narrow zone of regularity amidst regions of more chaotic spectra.

4 pages, LaTeX, 5 eps figures

References in corpus (4)

• Quasi dynamical symmetry in an interacting boson model phase transition
• Simple, empirical order parameter for a first order quantum phase transition in atomic nuclei
• Generalized Partial Dynamical Symmetry in Nuclei
• Unified description of 0+ states in a large class of nuclear collective models

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• Analytic derivation of an approximate SU(3) symmetry inside the symmetry triangle of the Interacting Boson Approximation model
• Partial and quasi dynamical symmetries in quantum many-body systems
• Spectral fluctuations in the interacting boson model