Abstract
The method of continued fractions (MCF) of Horacek and Sasakawa (1983-5) is adapted to study low-energy electron scattering by atomic and ionic helium in the static-exchange approximation as well as positron scattering by atomic hydrogen in two- and three-channel coupling levels. This is the first real application of MCF to electron-ion and multi-channel scattering problems. For all the applications studied herein, the convergence of the iterative procedure is rapid and, in most cases, monotonic. Our study reinforces the potential of this method as an efficient tool for studying electron-atom scattering. Possible applications of MCF to treat electron-molecule scattering are also suggested.
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