q-Deformation of symplectic dynamical symmetries in algebraic models of nuclear structure

Journal Article · Wed Jun 15 04:00:00 EDT 2011 · Physics of Atomic Nuclei

DOI:https://doi.org/10.1134/S106377881106010X· OSTI ID:22043906

Sviratcheva, K D ^[1]; Ivanov, M I ^[2]; Draayer, J P ^[1]

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1. Louisiana State University, Department of Physics and Astronomy (United States)
2. Bulgarian Academy of Sciences, Institute of Nuclear Research and Nuclear Energy (Bulgaria)

With a view toward further nuclear structure applications of approaches based on quantum-deformed (or q-deformed) algebras, introduced to the authors by Yu.F. Smirnov, we construct a q analog of a boson realization of the symplectic noncompact sp(4, R) algebra together with a q analog of a fermion realization of the symplectic compact sp(4) algebra. The first study, on the q-deformed Sp(4,R) symmetry, is applied to the development of a q analog of the two-dimensional Interacting Boson Model with q-deformed SU(3) the underpinning dynamical symmetry group. An explicit realization in terms of q-tensor operators with respect to the standard su{sub q}(2) algebra is given. The group-subgroup structure of this framework yields the physical interpretation of the generators of the groups under consideration. The second symplectic algebra, the q-deformed sp(4), is applied to studying isovector pairing correlations in atomic nuclei. A specific q deformation of the sp(4) algebra is realized in terms of q deformed fermion creation and annihilation operators of the shell model. The generators of the algebra close on four distinct realizations of the u{sub q}(2) subalgebra. These reductions, which correspond to different types of pairing interactions, yield a complete classification of the basis states. An analysis of the role of the q deformation is based on a comparison of the results for energies of the lowest isovector-paired 0{sup +} states in the deformed and nondeformed cases.

• OSTI ID: 22043906
• Journal Information: Physics of Atomic Nuclei, Journal Name: Physics of Atomic Nuclei Journal Issue: 6 Vol. 74; ISSN 1063-7788; ISSN PANUEO
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ALGEBRA
ANNIHILATION OPERATORS
BOSONS
CLASSIFICATION
COMPARATIVE EVALUATIONS
CORRELATIONS
CREATION OPERATORS
FERMIONS
INTERACTING BOSON MODEL
ISOVECTORS
NUCLEAR DEFORMATION
NUCLEAR STRUCTURE
PAIRING INTERACTIONS
SP GROUPS
SU-3 GROUPS
TWO-DIMENSIONAL CALCULATIONS