{
  "annotation_id": "d58d8670-bb97-4134-9e09-e577d97168c7",
  "date_created": "2026-03-02T18:00:04.610000Z",
  "date_modified": "2026-03-02T18:00:04.610000Z",
  "file_hash": "00b0539c8d9da5e61075598669412a7bda69fe5d007ae8936d0e5b1f63ccfca2",
  "private": false,
  "record": {
    "abstract": "Regular structures generated by random interactions in energy centroids\ndefined over irreducible representations (irreps) of some of the group\nsymmetries of the interacting boson models $sd$IBM, $sdg$IBM, $sd$IBM-$T$ and\n$sd$IBM-$ST$ are studied by deriving trace propagations equations for the\ncentroids. It is found that, with random interactions, the lowest and highest\ngroup irreps in general carry most of the probability for the corresponding\ncentroids to be lowest in energy. This generalizes the result known earlier,\nvia numerical diagonalization, for the more complicated fixed spin ($J$)\ncentroids where simple trace propagation is not possible.",
    "arxiv_id": "nucl-th/0503031",
    "authors": [
      "V. K. B. Kota"
    ],
    "categories": [
      "nucl-th"
    ],
    "doi": "10.1103/PhysRevC.71.041304",
    "journal_ref": "Phys.Rev. C71 (2005) 041304",
    "title": "Regularities with random interactions in energy centroids defined by   group symmetries",
    "url": "https://arxiv.org/abs/nucl-th/0503031"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "67b1935e-2ba7-42bd-8581-4582757a0c53",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}