Abstract
Positronium formation in positron-hydrogen collisions is studied by the coupled-channel method based on the hyperspherical-coordinate representation. The coupled equations are solved by the diabatic-by-sector method expanding the scattering wave function in terms of sector adiabatic states associated with H(n=1--3) and Ps(n=1,2) in the separated-atom limit. In the energy range of the Ore gap, even the two-state expansion shows a good convergence, and both the formation and the elastic cross sections agree well with the existing elaborate variational calculations. As the collision energy exceeds the Ore gap, the contribution from the level associated with H(n=2) becomes significant. The present s-wave formation cross section does not show the resonance structures, which were predicted recently by some theoretical calculations, above the ionization threshold of the hydrogen atom.
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