{
  "annotation_id": "846ec490-d15d-46dc-beb5-cef6bcfaf6ad",
  "date_created": "2026-03-02T18:00:43.479000Z",
  "date_modified": "2026-03-02T18:00:43.479000Z",
  "file_hash": "fab0d8afaaa060303bc6cd032bec8174d4abac8a76fd5ff949630e407875dc30",
  "private": false,
  "record": {
    "abstract": "We report a new resummation procedure for the partial wave series (PWS)\nrepresentation of the scattering amplitude, when a basis set of Legendre\npolynomials is used for the expansion. The effect of the resummation is to\nremove from the PWS the factor containing alpha and beta. The resummed\nscattering amplitude is then exactly decomposed into the sum of a nearside (N)\nsubamplitude and a farside (F) subamplitude. We make two applications of the NF\nresummed theory: to elastic angular scattering in a strongly absorptive\ncollision and to a state-to-state differential cross section for the I + HI \u003e\nIH + I reaction. In both applications, we can understand the physical origin of\nstructure in the angular scattering for suitable choices of alpha, beta and r.",
    "arxiv_id": "physics/0301054",
    "authors": [
      "C. Noli",
      "J. N. L. Connor"
    ],
    "categories": [
      "physics.chem-ph"
    ],
    "journal_ref": "Russian Journal of Physical Chemistry, Supplement No. 1, vol. 76,\n  pp. S77 - S89 (2002)",
    "title": "Nearside-farside theory of differential cross sections : resummation of   a partial wave series involving Legendre polynomials",
    "url": "https://arxiv.org/abs/physics/0301054"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "fec7e4f2-a721-450c-a5a8-f97843326b4d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}