SU(3) symmetry in the triaxially deformed harmonic oscillator

Journal Article · Thu Oct 15 00:00:00 EDT 2009 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.80.044307· OSTI ID:21293920

Sugawara-Tanabe, Kazuko ^[1]; Tanabe, Kosai ^[2]; Arima, Akito ^[3]; Gruber, Bruno ^[4]

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1. Otsuma Women's University, Tama, Tokyo 206-8540 (Japan)
2. Department of Physics, Saitama University, Sakura-Ku, Saitama 338-8570 (Japan)
3. Science Museum, Japan Science Foundation, Tokyo 102-0091 (Japan)
4. College of Science, Southern Illinois University, Carbondale, Illinois 62901 (United States)

An anisotropic harmonic oscillator Hamiltonian can be brought into invariant form under SU(3) transformations by applying nonlinear transformations to the oscillator bosons. The classification of the single-particle levels based on this covering group predicts magic numbers for the triaxial oscillator. It is shown that when the deformation |{delta}| is not too large, the physical operators are approximated by the group operators. Estimation is carried out for the alignment of orbital angular momentum in a triaxial field.

• OSTI ID: 21293920
• Journal Information: Physical Review. C, Nuclear Physics, Vol. 80, Issue 4; Other Information: DOI: 10.1103/PhysRevC.80.044307; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2813
• 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
ORBITAL ANGULAR MOMENTUM
OSCILLATORS
SU-3 GROUPS