Application of the hidden-crossing method to positronium formation

摘要

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 (hi d(2)phi/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. [S1050-2947(99)06506-3]. [References: 54]