Application of Elliott's SU(3) model to the triaxially deformed harmonic oscillators

Journal Article · Fri May 06 00:00:00 EDT 2011 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3584076· OSTI ID:21516839

Sugawara-Tanabe, Kazuko ^[1]

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1. Otsuma Women's University, Tama, Tokyo 206-8540 (Japan)

We have introduced new bosons corresponding to the integral ratio of three frequencies for a harmonic oscillator potential, by means of a non-linear transformation which realizes the SU(3) group as a dynamical symmetry group, and which leaves the anisotropic harmonic oscillator Hamiltonian invariant. The classification of the single-particle levels based on this covering group predicts magic numbers depending on the deformation parameters {delta} and {gamma}. The special cases with tan {gamma} = 1/{radical}(3)({gamma} = 30 deg.) and {radical}(3)/5({gamma}{approx}19 deg.) are discussed.

• OSTI ID: 21516839
• Journal Information: AIP Conference Proceedings, Vol. 1355, Issue 1; Conference: International symposium on new faces of atomic nuclei, Okinawa (Japan), 15-17 Nov 2010; Other Information: DOI: 10.1063/1.3584076; (c) 2011 American Institute of Physics; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ANISOTROPY
BOSONS
CLASSIFICATION
DEFORMED NUCLEI
HAMILTONIANS
HARMONIC OSCILLATORS
MAGIC NUCLEI
NONLINEAR PROBLEMS
SU-3 GROUPS
SYMMETRY
TANTALUM NITRIDES
TRANSFORMATIONS
LIE GROUPS
MATHEMATICAL OPERATORS
NITRIDES
NITROGEN COMPOUNDS
NUCLEI
PNICTIDES
QUANTUM OPERATORS
REFRACTORY METAL COMPOUNDS
SU GROUPS
SYMMETRY GROUPS
TANTALUM COMPOUNDS
TRANSITION ELEMENT COMPOUNDS