Scattering of positronium atoms by hydrogen atoms has been investigated using the static exchange model and the first Born approximation (FBA) using only the exchange interaction. The FBA elastic total cross section at very low energy is very close to the estimated value of Massey and Mohr in the zero energy limit. We report total elastic, differential and quenching cross sections using the static exchange model for the energy range 0.068-100 eV. The present static exchange results are found to differ from the corresponding results of Fraser. The ratio of the quenching to total elastic cross section approaches the value 0.25 with increasing energy as predicted by Massey and Mohr.
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