dorsal/arxiv
View SchemaCoulomb corrections in quasi-elastic scattering based on the eikonal expansion for electron wave functions
| Authors | J. A. Tjon, S. J. Wallace |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0610115 |
| URL | https://arxiv.org/abs/nucl-th/0610115 |
| DOI | 10.1103/PhysRevC.74.064602 |
| Journal | Phys.Rev.C74:064602,2006 |
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.
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"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"
],
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"nucl-th"
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"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"
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