Abstract
The Schwinger variational principle for rearrangement collisions is used to study positronium formation in positron-hydrogen collisions at low energies in the range 6.8-10.2 eV. A total number of eight terms of correlated functions in the direct and rearrangement channels in a discrete basis set expansion is found to be sufficient to predict accurate cross sections for S, P, D, and higher partial waves up to L = 14 in agreement with the Kohn-Hulthen variational results available in the literature. Our findings indicate that destructive interference between partial-wave contributions to the scattering amplitude is responsible for the appearance of critical angles in positronium formation. The surface plot of the differential cross section for positronium formation displays rich structure. The predicted total cross sections are in conformity with the observed data of the Wayne State group (Zhou et al 1999 Phys. Rev. A 55 361).
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