Algebraic Tabulation of Clebsch-Gordan Coefficients of <i>SU</i>3 for the Product (λ, μ)⊗ (1, 1) of Representations of <i>SU</i>3

Abstract

An algebraic tabulation is made of the Clebsch-Gordan (CG) coefficients of SU3 which occur in the reduction into irreducible representations of the direct product (λ, μ)⊗ (1, 1) of irreducible representations of SU3. Full explanation is made of the method of handling the complications associated with the possible double occurrence of the representation (λ, μ) itself in the direct product. The phase convention employed is an explicitly stated generalization of the well-known Condon and Shortley phase convention for SU2. The relationship of the CG coefficients associated with the direct product (1, 1)⊗ (λ, μ) to those coefficients already mentioned is also exhibited.