{
  "id": "nucl-th/0401038",
  "version": "v1",
  "published": "2004-01-20T07:19:27.000Z",
  "updated": "2004-01-20T07:19:27.000Z",
  "title": "Random interactions in nuclei and extension of $0^+$ dominance in ground states to irreps of group symmetries",
  "authors": [
    "V. K. B. Kota"
  ],
  "comment": "8 pages, 1 figure",
  "journal": "High Energy Physics and Nucler Physics (Chinese) 28 (2004) 1307-1312",
  "categories": [
    "nucl-th"
  ],
  "abstract": "Random one plus two-body hamiltonians invariant with respect to $O({\\cal N}_1) \\oplus O({\\cal N}_2)$ symmetry in the group-subgroup chains $U({\\cal N}) \\supset U({\\cal N}_1) \\oplus U({\\cal N}_2) \\supset O({\\cal N}_1) \\oplus O({\\cal N}_2)$ and $U({\\cal N}) \\supset O({\\cal N}) \\supset O({\\cal N}_1) \\oplus O({\\cal N}_2)$ chains of a variety of interacting boson models are used to investigate the probability of occurrence of a given $(\\omega_1 \\omega_2)$ irreducible representation (irrep) to be the ground state in even-even nuclei; $[\\omega_1]$ and $[\\omega_2]$ are symmetric irreps of $O({\\cal N}_1)$ and $O({\\cal N}_2)$ respectively. Numerical results obtained for ${\\cal N}_1 \\geq 3, {\\cal N}_2=1$ and ${\\cal N}_1, {\\cal N}_2 \\geq 3$ situations are well explained by an extended Hartree-Bose mean-field analysis.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-01-20T07:19:27.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "ground state",
      "random interactions",
      "group symmetries",
      "plus two-body hamiltonians invariant",
      "extended hartree-bose mean-field analysis"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 643013,
      "adsabs": "2004nucl.th...1038K"
    }
  }
}