The L-Projection of the Shell Model SU(3) Wave Functions

Abstract

Elliott created the algebraic version of the Shell Model in the LS coupling scheme. He proved that one nuclear, leading wave function includes all the possible K rotational nuclear bands and states with good angular momentum L. Later on, Elliott and Harvey proposed the L-projection technique, from which one may project all the nuclear states with good L,K out of this unique leading wave function. Finally Vergados gave analytic expression for the projection coefficients, which are involved in this technique. Hereby I discuss another way to accomplish the L-projection technique, which involves the coupling of spherical tensor operators.