{
  "annotation_id": "60327440-5c21-4cd5-8133-94e48f3f58a9",
  "date_created": "2026-03-02T18:01:21.748000Z",
  "date_modified": "2026-03-02T18:01:21.748000Z",
  "file_hash": "23f56e8c3a538eaaf290035198a91ab61b1c2b7e2bfa1b1fca7d32695daf388d",
  "private": false,
  "record": {
    "abstract": "Stable recursive relations are presented for the numerical computation of the\nintegrals\n  $$\\int d{\\bf r}_1 d{\\bf r}_2 r_1^{l-1} r_2^{m-1} r_{12}^{n-1}\n  \\exp{\\{-\\alpha r_1 -\\beta r_2 -\\gamma r_{12}\\}}$$\n  ($l$, $m$ and $n$ integer, $\\alpha$, $\\beta$ and $\\gamma$ real) when the\nindices $l$, $m$ or $n$ are negative. Useful formulas are given for particular\nvalues of the parameters $\\alpha$, $\\beta$ and $\\gamma$.",
    "arxiv_id": "physics/9803003",
    "authors": [
      "Jose Caro"
    ],
    "categories": [
      "physics.atom-ph",
      "physics.comp-ph"
    ],
    "doi": "10.1103/PhysRevE.58.6781",
    "title": "On the evaluation of some three-body variational integrals",
    "url": "https://arxiv.org/abs/physics/9803003"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "6cd7aa3d-bfa5-4ce9-bdd6-2553449add9f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}