Potential Scattering of High-Energy Electrons in Second Born Approximation

Abstract

Formulas are derived for the scattering cross section of a high-energy electron in a static potential, correct to second order in the potential, in terms of certain integrals. The potential is that due to a screened, spherical charge distribution. The integrals are evaluated explicitly for Yukawa, exponential and Gaussian charge distributions, and are expanded in power series in $k$ and in $\frac{1}{k}$ for an arbitrary charge distribution. Numerical results are presented.