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Dynamical symmetry breaking in two-dimensional SU(3) model and the quantum group symmetry SU{sub q}(3) contains SU{sub q}(2) contains SO{sub q}(2)

Abstract

Quantum deformation of the vibrational symmetry SU(3) contains SU(2) contains O{sub +}(2) of the two-dimensional interaction boson model (IBM) is analysed from the point of view of the breaking of the dynamical symmetry. It is shown that, in agreement with the work of Gupta et al. for the one-dimensional problem, the real and complex (more so the complex) q-deformations take the limiting symmetry SU(2) of the two-dimensional SU(3) group very close to its other limit O{sub +}(3). Also, the intermediate results are obtained, since q-deformations vary continuously. Applications to real nuclei are also studied. (author). 9 refs, 2 figs, 1 tab.
Authors:
Publication Date:
Dec 01, 1992
Product Type:
Technical Report
Report Number:
IC-92/426
Reference Number:
SCA: 663120; 662120; PA: AIX-24:045784; SN: 93000989074
Resource Relation:
Other Information: PBD: Dec 1992
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; INTERACTING BOSON MODEL; SYMMETRY BREAKING; NUCLEAR DEFORMATION; O GROUPS; ROTATIONAL STATES; SU-2 GROUPS; SU-3 GROUPS; TWO-DIMENSIONAL CALCULATIONS; VIBRATIONAL STATES; 663120; 662120; NUCLEAR STRUCTURE MODELS AND METHODS; SYMMETRY, CONSERVATION LAWS, CURRENTS AND THEIR PROPERTIES
OSTI ID:
10152126
Research Organizations:
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ON: DE93624851; TRN: XA9334090045784
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
[11] p.
Announcement Date:
Jul 05, 2005

Citation Formats

Gupta, R K. Dynamical symmetry breaking in two-dimensional SU(3) model and the quantum group symmetry SU{sub q}(3) contains SU{sub q}(2) contains SO{sub q}(2). IAEA: N. p., 1992. Web.
Gupta, R K. Dynamical symmetry breaking in two-dimensional SU(3) model and the quantum group symmetry SU{sub q}(3) contains SU{sub q}(2) contains SO{sub q}(2). IAEA.
Gupta, R K. 1992. "Dynamical symmetry breaking in two-dimensional SU(3) model and the quantum group symmetry SU{sub q}(3) contains SU{sub q}(2) contains SO{sub q}(2)." IAEA.
@misc{etde_10152126,
title = {Dynamical symmetry breaking in two-dimensional SU(3) model and the quantum group symmetry SU{sub q}(3) contains SU{sub q}(2) contains SO{sub q}(2)}
author = {Gupta, R K}
abstractNote = {Quantum deformation of the vibrational symmetry SU(3) contains SU(2) contains O{sub +}(2) of the two-dimensional interaction boson model (IBM) is analysed from the point of view of the breaking of the dynamical symmetry. It is shown that, in agreement with the work of Gupta et al. for the one-dimensional problem, the real and complex (more so the complex) q-deformations take the limiting symmetry SU(2) of the two-dimensional SU(3) group very close to its other limit O{sub +}(3). Also, the intermediate results are obtained, since q-deformations vary continuously. Applications to real nuclei are also studied. (author). 9 refs, 2 figs, 1 tab.}
place = {IAEA}
year = {1992}
month = {Dec}
}