{
  "id": "nucl-th/0210019",
  "version": "v1",
  "published": "2002-10-07T21:58:44.000Z",
  "updated": "2002-10-07T21:58:44.000Z",
  "title": "Basis Generator for M-Scheme SU(3) Shell Model Calculations",
  "authors": [
    "Vesselin G. Gueorguiev",
    "Jerry P. Draayer"
  ],
  "comment": "10 pages, 6 figures, talk presented at the XXI Symposium on Nuclear Physics, Oaxtepec, Morelos, Mexico, 1998",
  "journal": "Rev.Mex.Fis.44S2:43-47,1998",
  "categories": [
    "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-10-07T21:58:44.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "shell model calculations",
      "basis generator",
      "m-scheme su",
      "harmonic oscillator mean field",
      "total angular momentum operator"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 488154,
      "adsabs": "2002nucl.th..10019G"
    }
  }
}