Fortran Programs for the Calculation of Wigner 3j, 6j, and 9j Coefficients for Angular Momenta <= 80 (Classic Reprint)

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Excerpt from Fortran Programs for the Calculation of Wigner 3j, 6j, and 9j Coefficients for Angular Momenta <= 80

A corresponds to two angular momentum vectors being of such length thatit is possible for them to couple to (or form a triangle with) the third. Any combination of integer and half-integer angular momentum vectors which would lead to factorials of half-integers in the formulae is also ruled out. Since the expression on the right hand side of Eq. (1) is manifestly symmetric with respect to any permutation of the indices 1.

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