Benchmark calculation of hydrogen (antihydrogen) formation at rest in positronium-proton (-antiproton) scattering

We use the equivalence of positron scattering on atomic hydrogen, and positronium-proton scattering, to provide benchmark results for (anti)hydrogen formation in positronium (Ps) scattering on (anti)protons in a low-energy region. Using the two-center e +-H convergent close-coupling approach converg...

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Bibliographic Details
Main Authors: Kadyrov, Alisher, Lugovskoy, Andrey, Utamuratov, Ravshanbek, Bray, Igor
Format: Journal Article
Published: American Physical Society 2013
Online Access:http://hdl.handle.net/20.500.11937/12596
Description
Summary:We use the equivalence of positron scattering on atomic hydrogen, and positronium-proton scattering, to provide benchmark results for (anti)hydrogen formation in positronium (Ps) scattering on (anti)protons in a low-energy region. Using the two-center e +-H convergent close-coupling approach convergence to a few percent accuracy is demonstrated, in the only required zeroth partial wave, by substantial variation in the treatment of the two centers. A simple relation for the cross section at low Ps energies (k2) is given, with the 1/k behavior demonstrated to strictly hold only at threshold.