Clebsch-Gordan coefficients for U(8) superset of O(8) superset of SU(3)

Journal Article · Thu Jun 15 00:00:00 EDT 2006 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.2207720· OSTI ID:20860493

Sanchez Lima, I; Hess, P O ^[1]

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1. Instituto de Ciencias Nucleares, Universidad Nacional Autonoma de Mexico, Apdo. Postal 70-543, Mexico 04510 D.F. (Mexico)

The group chain U(8) superset of O(8) superset of SU(3) plays an important role in many particle systems whenever the fundamental particles have eight degrees of freedom. As a particular example, the systems of many gluons and pairs of quark-antiquark are discussed, which can be coupled to a flavor octet. In order to determine the explicit structure of states and decay probabilities, the calculation of the Clebsch-Gordan coefficients (CGC) of this group chain is indispensable. In this contribution, the polynomial states of the U(8) chain are constructed and also the isoscalar factors of the CGC's. Tables of isoscalar factors are presented. The method shown serves as an example for higher rank groups.

• OSTI ID: 20860493
• Journal Information: Journal of Mathematical Physics, Vol. 47, Issue 6; Other Information: DOI: 10.1063/1.2207720; (c) 2006 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CLEBSCH-GORDAN COEFFICIENTS
DEGREES OF FREEDOM
ELEMENTARY PARTICLES
FLAVOR MODEL
GLUONS
O GROUPS
PARTICLE DECAY
POLYNOMIALS
PROBABILITY
QUARK-ANTIQUARK INTERACTIONS
QUARKS
SU-3 GROUPS
U GROUPS