Some isoscalar factors for SO<i>N</i>⊇SO<i>N</i>−1 and state expansion coefficients for SO<i>N</i>⊇SO<i>N</i>−1 in terms of SU<i>N</i>⊇SU<i>N</i>−1⊇SO<i>N</i>−1

Abstract

General analytical expressions of state expansion coefficients for SON⊇SON−1 in terms of SUN⊇SUN−1⊇SON−1 are derived. Analytical expressions of isoscalar factors for SON⊇SON−1 for coupling (w1w2)×(w30) to (w′1w2) for the SON (N&amp;gt;4) irrep and (v1v2)×(v30) to (v′1v2) for the SON−1 irrep with w1+w2+w3=w′1+w2 and v1+v2+v3=v′1+v2 are obtained by using these coefficients and isoscalar factors for SUN⊇SUN−1.