{
  "annotation_id": "54bae3bd-042d-44c2-be2e-e4009c7bfa3c",
  "date_created": "2026-03-02T18:00:10.820000Z",
  "date_modified": "2026-03-02T18:00:10.820000Z",
  "file_hash": "499acf0d2599735fb82336439a2ba1c70c717672776de8b24a049d51dcb2095b",
  "private": false,
  "record": {
    "abstract": "An eikonal expansion is developed in order to provide systematic corrections\nto the eikonal approximation through order 1/k^2, where k is the wave number.\nThe expansion is applied to wave functions for the Klein-Gordon equation and\nfor the Dirac equation with a Coulomb potential. Convergence is rapid at\nenergies above about 250 MeV. Analytical results for the eikonal wave functions\nare obtained for a simple analytical form of the Coulomb potential of a\nnucleus. They are used to investigate distorted-wave matrix elements for\nquasi-elastic electron scattering from a nucleus. Focusing factors are shown to\narise from the corrections to the eikonal approximation. A precise form of the\neffective-momentum approximation is developed by use of a momentum shift that\ndepends on the electron\u0027s energy loss.",
    "arxiv_id": "nucl-th/0610115",
    "authors": [
      "J. A. Tjon",
      "S. J. Wallace"
    ],
    "categories": [
      "nucl-th"
    ],
    "doi": "10.1103/PhysRevC.74.064602",
    "journal_ref": "Phys.Rev.C74:064602,2006",
    "title": "Coulomb corrections in quasi-elastic scattering based on the eikonal   expansion for electron wave functions",
    "url": "https://arxiv.org/abs/nucl-th/0610115"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "583819e4-f562-4c1d-bc6e-5453d0bab0a7",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}