Note on recoupling coefficients for SU(3)

Journal Article · Sat Jul 01 04:00:00 EDT 1978 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.523858· OSTI ID:6841080

Millener, D J

A 6- (lambda..mu..) coefficient, denoted by Z and different from the usual U coefficient, associated with a specific recoupling of three irreducible representations of SU(3), is defined. A general 9- (lambda..mu..) coefficient, analogous to the unitary 9-J coefficient of the angular momentum Racah algebra, is then expressed in terms of the Z coefficient and two U coefficients. In this way problems associated with the existence of outer multiplicities in the products of irreducible representations of SU(3) are circumvented.

• Research Organization: Brookhaven National Laboratory, Upton, New York 11973
• OSTI ID: 6841080
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 19:7; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

653007* -- Nuclear Theory-- Nuclear Models-- (-1987)
658000 -- Mathematical Physics-- (-1987)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
FUNCTIONS
IRREDUCIBLE REPRESENTATIONS
LIE GROUPS
MATHEMATICAL MODELS
MATRIX ELEMENTS
MULTIPLICITY
NUCLEAR MODELS
SHELL MODELS
SU GROUPS
SU-3 GROUPS
SYMMETRY GROUPS
WAVE FUNCTIONS