{
  "annotation_id": "996d9daf-57e0-4d2c-bdd2-b8f7767ad1e4",
  "date_created": "2026-03-02T18:00:01.256000Z",
  "date_modified": "2026-03-02T18:00:01.256000Z",
  "file_hash": "6f6b301cf3a0f668f1d3981d540156531a9cf5be67f8957b7b776109c9255dfe",
  "private": false,
  "record": {
    "abstract": "Random one plus two-body hamiltonians invariant with respect to $O({\\cal\nN}_1) \\oplus O({\\cal N}_2)$ symmetry in the group-subgroup chains $U({\\cal N})\n\\supset U({\\cal N}_1) \\oplus U({\\cal N}_2) \\supset O({\\cal N}_1) \\oplus O({\\cal\nN}_2)$ and $U({\\cal N}) \\supset O({\\cal N}) \\supset O({\\cal N}_1) \\oplus\nO({\\cal N}_2)$ chains of a variety of interacting boson models are used to\ninvestigate the probability of occurrence of a given $(\\omega_1 \\omega_2)$\nirreducible representation (irrep) to be the ground state in even-even nuclei;\n$[\\omega_1]$ and $[\\omega_2]$ are symmetric irreps of $O({\\cal N}_1)$ and\n$O({\\cal N}_2)$ respectively. Numerical results obtained for ${\\cal N}_1 \\geq\n3, {\\cal N}_2=1$ and ${\\cal N}_1, {\\cal N}_2 \\geq 3$ situations are well\nexplained by an extended Hartree-Bose mean-field analysis.",
    "arxiv_id": "nucl-th/0401038",
    "authors": [
      "V. K. B. Kota"
    ],
    "categories": [
      "nucl-th"
    ],
    "journal_ref": "High Energy Physics and Nucler Physics (Chinese) 28 (2004)\n  1307-1312",
    "title": "Random interactions in nuclei and extension of $0^+$ dominance in ground   states to irreps of group symmetries",
    "url": "https://arxiv.org/abs/nucl-th/0401038"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e8221c37-ea45-430b-9978-552be97763b4",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}