It is proposed that the interaction V between an incident electron and an atom may be usefully split into two parts, V 1 and V 2 , in such a way that couplings which are readily amenable to perturbation theory are contained in V 2 , while V 1 corresponds to the remaining couplings which cannot be so effectively handled perturbatively. By making a distorted-wave Born series expansion in powers of V 2 it is possible to calculate the scattering amplitude correct to any order in V 2 while treating V 1 non-perturbatively. Cross sections for the elastic scattering of electrons on helium and neon are calculated in the energy range 100 eV to 2 keV and compared with experiment.
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Dewangan et al. (1977) studied this question.