SU(3) Quasidynamical Symmetry Underlying the Alhassid-Whelan Arc of Regularity

Journal Article · Fri Jan 15 04:00:00 EST 2010 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.104.022502· OSTI ID:21386899

Bonatsos, Dennis ^[1]; McCutchan, E A ^[2]; Casten, R F ^[3]

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1. Institute of Nuclear Physics, NCSR 'Demokritos', GR-15310 Aghia Paraskevi, Attiki (Greece)
2. Physics Division, Argonne National Laboratory, Argonne, Illinois 60439 (United States)
3. Wright Nuclear Structure Laboratory, Yale University, New Haven, Connecticut 06520 (United States)

The first example of an empirically manifested quasidynamical 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.

• OSTI ID: 21386899
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 2 Vol. 104; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
APPROXIMATIONS
BOSONS
CALCULATION METHODS
CHAOS THEORY
ENERGY LEVELS
INTERACTING BOSON MODEL
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICS
NUCLEAR MODELS
PHASE TRANSFORMATIONS
SHELL MODELS
SPECTRA
SU GROUPS
SU-3 GROUPS
SYMMETRY
SYMMETRY GROUPS
TRAJECTORIES
UNITARY SYMMETRY