Basis Generator for M-Scheme SU(3) Shell Model Calculations
A FORTRAN code for generating the leading SU(3) irreducible representation (irrep) of N identical spin 1 =2 fermions in a harmonic oscillator mean fleld is introduced. The basis states are labeled by N { the total number of particles, the SU(3) irrep labels (‚;„), and S { the total spin of the system. The orthonormalized basis states have two additional good quantum numbers: † { the eigenvalue of the quadruple operator, Q0 ;a nd M J { the eigenvalues of the projection of the total angular momentum operator, J0 = L0 +S0. The approach that is developed can be used for a description of nuclei in a proton-neutron representation and is part of a larger program aimed at integrating SU(3) symmetry into the best of the currently available exact shell-model technologies.