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Basis Generator for M-Scheme SU(3) Shell Model Calculations | | Vesselin G. Gueorguiev
; Jerry P. Draayer
; | | Date: |
7 Oct 2002 | | Journal: | Rev.Mex.Fis. 44S2 (1998) 43-47 | | Subject: | Nuclear Theory; Group Theory; Representation Theory; Computational Physics | nucl-th math.GR math.RT physics.comp-ph | | Abstract: | A FORTRAN code for generating the leading SU(3) irreducible representation (irrep) of N identical spin 1/2 fermions in a harmonic oscillator mean field is introduced. The basis states are labeled by N--the total number of particles, the SU(3) irrep labels ($lambda ,mu $), and S -- the total spin of the system. The orthonormalized basis states have two additional good quantum numbers: $epsilon $ -- the eigenvalue of the quadruple operator, $Q_{0}$; and $M_{J}$ -- the eigenvalues of the projection of the total angular momentum operator, $J_{0}=L_{0}+S_{0}$. 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. | | Source: | arXiv, nucl-th/0210019 | | Services: | Forum | Review | PDF | Favorites | |
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