The Clebsch-Gordan coefficients of permutation groups S(2)-S(6)

Abstract

The Clebsch-Gordan (CG) coefficients of the permutation groups S(2)-S(6) are calculated by using the eigenfunction method. Phases have been chosen in a consistent way to exhibit as many symmetries for the coefficients as is possible, including non-multiplicity free cases. The CG coefficients of S(2)-S(5) and those for (321)*(321) to (321)5 of S(6) are tabulated in the square root form of rationals. These tables together with the S(6) contains/implies S(5) isoscalar factors published earlier provide a complete tabulation of the S(2)-S(6) CG coefficients given in the Young-Yamanouchi basis.