The second Born approximation for electron scattering. I. The high energy limit for small angle elastic scattering from atoms

Publisher Website
Google Scholar
Abstract
The second Born approximation, including coupling to all channels, is considered for elastic electron scattering by atoms. A model within the framework of the LS coupling approximation is adopted for the interaction potential. The analytic results of this model are expanded in increasing positive powers of the momentum transferred to the scattered electron. The leading coefficients of the terms in this expansion are identified with matrix elements of known operators. The sum of the matrix elements over all channels is carried out with the final results expressed in terms of certain optical sums.