{
  "annotation_id": "4cc37203-1213-427e-b620-2bd9ce8b09a8",
  "date_created": "2026-03-02T18:00:25.437000Z",
  "date_modified": "2026-03-02T18:00:25.437000Z",
  "file_hash": "e0758f52ba4f3d9b3d3a8bed30d8c0e5c8cd23e17d9f2db57f93842cd990468f",
  "private": false,
  "record": {
    "abstract": "We investigate the generic pairing properties of shell-model many-body\nHamiltonians drawn from ensembles of random two-body matrix elements. Many\nfeatures of pairing that are commonly attributed to the interaction are in fact\nseen in a large part of the ensemble space. Not only do the spectra show\nevidence of pairing with favored J=0 ground states and an energy gap, but the\nrelationship between ground state wave functions of neighboring nuclei show\nsignatures of pairing as well. Matrix elements of pair creation/annihilation\noperators between ground states tend to be strongly enhanced. Furthermore, the\nsame or similar pair operators connect several ground states along an isotopic\nchain. This algebraic structure is reminiscent of the generalized seniority\nmodel. Thus pairing may be encoded to a certain extent in the Fock space\nconnectivity of the interacting shell model even without specific features of\nthe interaction required.",
    "arxiv_id": "nucl-th/9908037",
    "authors": [
      "C. W. Johnson",
      "G. F. Bertsch",
      "D. J. Dean",
      "I. Talmi"
    ],
    "categories": [
      "nucl-th"
    ],
    "doi": "10.1103/PhysRevC.61.014311",
    "journal_ref": "Phys.Rev. C61 (2000) 014311",
    "title": "Generalized seniority from random Hamiltonians",
    "url": "https://arxiv.org/abs/nucl-th/9908037"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "87a3ece5-8e9f-4bbc-b278-efe0e7b401de",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}