{
  "id": "1306.4661",
  "version": "v4",
  "published": "2013-06-19T19:40:50.000Z",
  "updated": "2014-08-26T13:38:12.000Z",
  "title": "Wave functions of the Q.Q interaction in terms of unitary 9-j coefficients",
  "authors": [
    "L. Zamick",
    "Y. Y. Sharon",
    "A. Escuderos",
    "T. Hoang",
    "S. J. Q. Robinson"
  ],
  "categories": [
    "nucl-th"
  ],
  "abstract": "We obtain wave functions for 2 protons and 2 neutrons in the g_{9/2} shell expressed as column vectors with amplitudes D(J_{p},J_{n}). When we use a quadrupole-quadrupole interaction (Q.Q)we get, in many cases, a very strong overlap with wave functions given by a single set of unitary 9j coefficients --U9j= ((jj)^{2j} (jj^{J_{B}} \\ (jj)^{J_{p}} (jj)^{J_{n}})^{I}. Here J_{B} = 9 or even I T=0 states. Fot I even T=1 states and odd I T=0 states we take J_{B} =8 whilst for odd I T=1 J_{B} is taken to be 7.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2013-07-15T02:19:19.000Z",
      "title": "Four Particles and Eight Particles in a Single j- Shell-The Backbone of the Shell Model",
      "abstract": "Previous results of single -j shell calculations for ^{44} Ti and ^{48} Cr are compared to experiment. In the single j-shell approximation for these N=Z nucliewe have respectively four partilces and eight particles in the f_{7/2} shell. Agreement is not perfect but is sufficiently good to lend support to the validity of the shell model. We comapre B(E2)'s in the Shell, Rotational and Vibrational Models for ^{44} Ti and ^{48} Cr. We discuss the I=0 ground state wave functions of even-even Ti isotopes usnng isospin considerations.",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v4",
      "updated": "2014-08-26T13:38:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "21.60.Cs",
      "21.30.Fe"
    ],
    "keywords": [
      "shell model",
      "shell-the backbone",
      "ti isotopes usnng isospin considerations",
      "even-even ti isotopes usnng isospin",
      "ground state wave functions"
    ],
    "publication": {
      "doi": "10.1103/PhysRevC.91.034331"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1239200,
      "adsabs": "2013arXiv1306.4661Z"
    }
  }
}