{
  "id": "nucl-th/0610115",
  "version": "v1",
  "published": "2006-10-27T20:22:23.000Z",
  "updated": "2006-10-27T20:22:23.000Z",
  "title": "Coulomb corrections in quasi-elastic scattering based on the eikonal expansion for electron wave functions",
  "authors": [
    "J. A. Tjon",
    "S. J. Wallace"
  ],
  "comment": "17 pages, 8 figure",
  "journal": "Phys.Rev.C74:064602,2006",
  "doi": "10.1103/PhysRevC.74.064602",
  "categories": [
    "nucl-th"
  ],
  "abstract": "An eikonal expansion is developed in order to provide systematic corrections to the eikonal approximation through order 1/k^2, where k is the wave number. The expansion is applied to wave functions for the Klein-Gordon equation and for the Dirac equation with a Coulomb potential. Convergence is rapid at energies above about 250 MeV. Analytical results for the eikonal wave functions are obtained for a simple analytical form of the Coulomb potential of a nucleus. They are used to investigate distorted-wave matrix elements for quasi-elastic electron scattering from a nucleus. Focusing factors are shown to arise from the corrections to the eikonal approximation. A precise form of the effective-momentum approximation is developed by use of a momentum shift that depends on the electron's energy loss.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-10-27T20:22:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "25.30.Fj",
      "25.30.Hm",
      "24.10.-i"
    ],
    "keywords": [
      "electron wave functions",
      "eikonal expansion",
      "coulomb corrections",
      "quasi-elastic scattering",
      "eikonal approximation"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. C"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 730327
    }
  }
}