Abstract
We have applied the hidden-crossing method to compute S-, P-, and D-wave cross sections for Ps formation in positron-hydrogen collisions in the Ore gap. The hidden-crossing method has provided a physical explanation of why the S-wave cross section is so small and why the D wave is significant. The one-Sturmian theory is used to correct the hidden-crossing theory to take into account the factor $(〈\ensuremath{\varphi}|{d}^{2}\ensuremath{\varphi}{/dR}^{2}〉{+(1/4)/R}^{2}).$ We have considered this correction term in computing the P- and D-wave cross sections. The hidden-crossing results are compared with accurate results from other methods. This comparison helps assess the accuracy of the hidden-crossing method in describing three-body collisions.
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