Reduction of General Matrix Elements in the Seniority Schemeby Using a Novel Relation for CG Coefficients

Abstract

Reduction relations for shell-model matrix elements of general operators in normal products ( e.g. general many-body operators) are investigated in the framework of the seniority scheme of identical particles. A novel relation for Clebsch-Gordan (CG) coefficients is exploited to remove from reduction factors all the CG coefficients that result from Wigner-Eckart theorem in the quasi-spin space. Reduction factors in the final step have very simple dependence on the number of particles.