{
  "annotation_id": "10fb013d-9d0c-47b3-bb72-baafe76a7832",
  "date_created": "2026-03-02T18:00:28.971000Z",
  "date_modified": "2026-03-02T18:00:28.971000Z",
  "file_hash": "73b304539df788e48da65b7e748ea17fd32c864394cb16dc42a01ddf0db42c45",
  "private": false,
  "record": {
    "abstract": "The nucleon form factors are calculated using a non-relativistic description\nin terms of constituent quarks. The emphasis is put on the reliability of\npresent numerical methods used to solve the three-body problem in order to\ncorrectly reproduce the expected asymptotic behavior of form factors. Nucleon\nwave functions obtained in the hyperspherical formalism or employing Faddeev\nequations have been considered. While a q**(-8) behavior is expected at high q\nfor a quark-quark force behaving like 1/r at short distances, it is found that\nthe hypercentral approximation in the hyperspherical formalism (K=0) leads to a\nq**(-7) behavior. An infinite set of waves is required to get the correct\nbehavior. Solutions of the Faddeev equations lead to the q**(-8) behavior. The\namplitude of the corresponding term however depends on the number of partial\nwaves retained in the Faddeev amplitude. The convergence to the asymptotic\nbehavior has also been studied. Sizeable departures are observed in some cases\nat squared momentum transfers as high as 50 (GeV/c)**2. It is not clear whether\nthese departures are of the order 1/q or 1/q**2 log q relatively to the\ndominant contribution and whether the bad convergence results from truncations\nin the calculations. From a comparison with the most complete Faddeev results,\na q**2 validity range is obtained for the calculation made in the\nhyperspherical formalism or in the Faddeev approach with the minimum number of\namplitudes.",
    "arxiv_id": "nucl-th/9910006",
    "authors": [
      "B. Desplanques",
      "B. Silvestre-Brac",
      "F. Cano",
      "P. Gonzalez",
      "S. Noguera"
    ],
    "categories": [
      "nucl-th"
    ],
    "doi": "10.1007/s006010070001",
    "journal_ref": "Few Body Syst. 29 (2000) 169-222",
    "title": "Describing the nucleon and its form factors at high q**2",
    "url": "https://arxiv.org/abs/nucl-th/9910006"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "61457893-b1d9-4fad-9d6d-8964ddf4c0fd",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}