Analytic formulae for interacting boson model matrix elements in the SU(3) basis

Journal Article · Thu Feb 01 00:00:00 EST 1990 · Physical Review, C (Nuclear Physics); (USA)

DOI:https://doi.org/10.1103/PhysRevC.41.730· OSTI ID:6981336

Rosensteel, G ^[1]

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1. Department of Physics, Tulane University, New Orleans, Louisiana 70118 (US)

A simple analytic expression is reported for U(6) matrix elements in the totally symmetric irreducible representations relevant to the interacting boson model. With respect to the SU(3) symmetry-adapted basis, the U(6) generators are given explicitly as SU(3) reduced matrix elements. The two-body Hamiltonian is expressed as a linear combination of SU(3) tensor operators. In particular, the Casimir invariants of the SU(5), O(6), and O(5) algebras are given in terms of SU(3) tensors. By using 9-({lambda}{mu}) coefficients, the SU(3) tensor method is extended to the proton-neutron interacting boson model.

• OSTI ID: 6981336
• Journal Information: Physical Review, C (Nuclear Physics); (USA), Vol. 41:2; ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
INTERACTING BOSON MODEL
U-6 GROUPS
ANNIHILATION OPERATORS
CREATION OPERATORS
HAMILTONIANS
IRREDUCIBLE REPRESENTATIONS
MATRIX ELEMENTS
SU-3 GROUPS
TWO-BODY PROBLEM
WIGNER COEFFICIENTS
LIE GROUPS
MANY-BODY PROBLEM
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
NUCLEAR MODELS
QUANTUM OPERATORS
SHELL MODELS
SU GROUPS
SYMMETRY GROUPS
U GROUPS
653001* - Nuclear Theory- Nuclear Structure
Moments
Spin
& Models