Analytic formulae for interacting boson model matrix elements in the SU(3) basis
Journal Article
·
· Physical Review, C (Nuclear Physics); (USA)
- 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), Journal Name: Physical Review, C (Nuclear Physics); (USA) Vol. 41:2; ISSN 0556-2813; ISSN PRVCA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
653001* -- Nuclear Theory-- Nuclear Structure
Moments
Spin
& Models
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ANNIHILATION OPERATORS
CREATION OPERATORS
HAMILTONIANS
INTERACTING BOSON MODEL
IRREDUCIBLE REPRESENTATIONS
LIE GROUPS
MANY-BODY PROBLEM
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATRIX ELEMENTS
NUCLEAR MODELS
QUANTUM OPERATORS
SHELL MODELS
SU GROUPS
SU-3 GROUPS
SYMMETRY GROUPS
TWO-BODY PROBLEM
U GROUPS
U-6 GROUPS
WIGNER COEFFICIENTS
Moments
Spin
& Models
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ANNIHILATION OPERATORS
CREATION OPERATORS
HAMILTONIANS
INTERACTING BOSON MODEL
IRREDUCIBLE REPRESENTATIONS
LIE GROUPS
MANY-BODY PROBLEM
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATRIX ELEMENTS
NUCLEAR MODELS
QUANTUM OPERATORS
SHELL MODELS
SU GROUPS
SU-3 GROUPS
SYMMETRY GROUPS
TWO-BODY PROBLEM
U GROUPS
U-6 GROUPS
WIGNER COEFFICIENTS