Corrigendum to "Universal factorization of 3n-j (j>2) symbols..." [J. Phys. A: Math. Gen. 37 (2004) 3259]

TL;DR

This paper verifies previously published 12-j symbols of the first kind using an independent Python implementation, ensuring their accuracy through computational recalculations of complex angular momentum coupling coefficients.

Contribution

It introduces a Python-based method for calculating Wigner symbols, independently verifying earlier published values and addressing discrepancies.

Findings

Confirmed or challenged ten previously published 12-j symbol values.

Developed a Python program capable of calculating various Wigner symbols.

Demonstrated the use of rational square root computations in angular momentum calculations.

Abstract

Ten values of 12-j symbols of the first kind published earlier are challenged by values calculated with an independent Python program. The program first implements a narrow class of square roots of rational numbers, utilizing Python's unlimited representation of big integers. Wigner's 3jm symbols, 6-j, 9-j, 12-j and 15-j symbols are then calculated by their familiar representations as sums over products of these.