Eikonal Distorted Wave Approximation for High Energy Electron Scattering from Spherical Nuclei

Abstract

<p>A detailed review of an eikonal approximation for high energy electrons in the Coulomb potential of a spherical nucleus is given. The matrix element for elastic scattering making use of this approximate distorted wave is then discussed. The matrix element is written in the form of a simple differential operator acting on the first Born amplitude. A possible method of evaluation for arbitrary nuclear charge densities is discussed and applied to the calculation of scattering cross sections for Ca, Ni, Sn, and Pb with realistic Fermi shapes.</p>