Abstract
The Kohn variational method is used to investigate structure in the elastic scattering and positronium formation cross-sections close to the positronium formation threshold for low energy positron scattering by hydrogen and helium. The results agree with Wigner's threshold law, but show that its validity only extends over a very restricted energy range. A great similarity is found in the s-wave contribution to the positronium formation cross-section for the two systems in both energy dependence and magnitude, and a significant feature is found in the total cross-section for positron–helium scattering at the positronium formation threshold.
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