Some isoscalar factors for SON⊇SON−1 and state expansion coefficients for SON⊇SON−1 in terms of SUN⊇SUN−1⊇SON−1
- 1 November 1988
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 29 (11) , 2384-2388
- https://doi.org/10.1063/1.528122
Abstract
General analytical expressions of state expansion coefficients for SO N ⊇SO N−1 in terms of SU N ⊇SU N−1⊇SO N−1 are derived. Analytical expressions of isoscalar factors for SO N ⊇SO N−1 for coupling (w 1 w 2)×(w 30) to (w ’ 1 w 2) for the SO N (N>4) irrep and (v 1 v 2)×(v 30) to (v ’ 1 v 2) for the SO N−1 irrep with w 1+w 2+w 3=w ’ 1+w 2 and v 1+v 2+v 3=v ’ 1+v 2 are obtained by using these coefficients and isoscalar factors for SU N ⊇SU N−1.Keywords
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