The use of second order potentials in the theory of scattering of charged particles by atoms. VII. The partial wave formalism and elastic scattering of electrons by hydrogen and helium

Abstract
The second order potential approximation of Bransden and Coleman (1972) is applied in a partial wave formalism to the elastic scattering of electrons from hydrogen and helium atoms. Differential, integrated, and total cross sections are presented for hydrogen in the energy range 100-200 eV and for helium in the range 50-500 eV. A one-channel approximation is used and the effect of exchange is included to first order in the potential. Conclusions are drawn as to the validity of the impact parameter approximation used in previous applications of the method.