Coulomb corrections in quasi-elastic scattering based on the eikonal expansion for electron wave functions
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.
Keywords
Cite
@article{arxiv.nucl-th/0610115,
title = {Coulomb corrections in quasi-elastic scattering based on the eikonal expansion for electron wave functions},
author = {J. A. Tjon and S. J. Wallace},
journal= {arXiv preprint arXiv:nucl-th/0610115},
year = {2011}
}
Comments
17 pages, 8 figure