{
  "annotation_id": "08410113-ca5b-4b31-a5e0-e4327e382019",
  "date_created": "2026-03-02T18:00:04.608000Z",
  "date_modified": "2026-03-02T18:00:04.608000Z",
  "file_hash": "427f6fd6c54718efc9f2ce69e00ce4188bc46a82cfa7c0f08a8ad6115f982f10",
  "private": false,
  "record": {
    "abstract": "We find a relationship between coefficients of fractional parentage (cfp)\nobtained on the one hand from the principal parent method and on the other hand\nfrom a seniority classification. We apply this to the Redmond recursion formula\nwhich relates $n \\to n+1$ cfp\u0027s to $n-1 \\to n$ cfp\u0027s where the principal parent\nclassification is used. We transform this to the seniority scheme. Our formula\ndiffers from the Redmond formula inasmuch as we have a sum over the possible\nseniorities for the $n \\to n+1$ cfp\u0027s, whereas Redmond has only one term.",
    "arxiv_id": "nucl-th/0503081",
    "authors": [
      "Larry Zamick",
      "Alberto Escuderos"
    ],
    "categories": [
      "nucl-th"
    ],
    "doi": "10.1016/j.aop.2005.08.006",
    "journal_ref": "Annals Phys. 321 (2006) 987-998",
    "title": "New Relations for Coefficients of Fractional Parentage--the Redmond   Recursion Formula with Seniority",
    "url": "https://arxiv.org/abs/nucl-th/0503081"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "30cf8c79-bab0-477a-8a18-fccd201030d0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}