The polynomial-type analysis of SU(3) group-theoretical quantities

Abstract

Formulas for the transformation matrix between the canonical and noncanonical SU(3) bases in both λ≥μ and λ<μ cases are derived. An expression for the isoscalar factor of the SU(3) coupling coefficient, in the noncanonical basis, with one symmetric representation is also derived. Both expressions are put in a polynomial-type form suitable for coding computer programs to obtain explicit and exact algebraic expressions. © 1987 American Institute of Physics.