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

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

2009-12-24

arxiv.org/abs/0912.4786v1

Physics

Nuclear Physics

Nuclear Theory

4 pages, LaTeX, 5 eps figures

Scientific paper

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.

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