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

Abstract

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.

Authors:
 [1]
  1. Otsuma Women's University, Tama, Tokyo 206-8540 (Japan)
Publication Date:
OSTI Identifier:
21516839
Resource Type:
Journal Article
Journal Name:
AIP Conference Proceedings
Additional Journal Information:
Journal Volume: 1355; Journal 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; Journal ID: ISSN 0094-243X
Country of Publication:
United States
Language:
English
Subject:
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

Citation Formats

Sugawara-Tanabe, Kazuko, and Theoretical Nuclear Physics Laboratory, RIKEN Nishina Center, Wako, Saitama 351-0198. Application of Elliott's SU(3) model to the triaxially deformed harmonic oscillators. United States: N. p., 2011. Web. doi:10.1063/1.3584076.
Sugawara-Tanabe, Kazuko, & Theoretical Nuclear Physics Laboratory, RIKEN Nishina Center, Wako, Saitama 351-0198. Application of Elliott's SU(3) model to the triaxially deformed harmonic oscillators. United States. https://doi.org/10.1063/1.3584076
Sugawara-Tanabe, Kazuko, and Theoretical Nuclear Physics Laboratory, RIKEN Nishina Center, Wako, Saitama 351-0198. 2011. "Application of Elliott's SU(3) model to the triaxially deformed harmonic oscillators". United States. https://doi.org/10.1063/1.3584076.
@article{osti_21516839,
title = {Application of Elliott's SU(3) model to the triaxially deformed harmonic oscillators},
author = {Sugawara-Tanabe, Kazuko and Theoretical Nuclear Physics Laboratory, RIKEN Nishina Center, Wako, Saitama 351-0198},
abstractNote = {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.},
doi = {10.1063/1.3584076},
url = {https://www.osti.gov/biblio/21516839}, journal = {AIP Conference Proceedings},
issn = {0094-243X},
number = 1,
volume = 1355,
place = {United States},
year = {Fri May 06 00:00:00 EDT 2011},
month = {Fri May 06 00:00:00 EDT 2011}
}