Application of the hidden-crossing method to positronium formation

Journal Article · Tue Jun 01 04:00:00 EDT 1999 · Physical Review A

DOI:https://doi.org/10.1103/PhysRevA.59.4418· OSTI ID:341378

Ward, S J ^[1]; Macek, J H; Ovchinnikov, S Y ^[2]

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1. Department of Physics, University of North Texas, Denton, Texas 76203 (United States)
2. Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996 and Oak Ridge National Laboratory, P.O. Box 2009, Oak Ridge, Tennessee 37831 (United States)

We have applied the hidden-crossing method to compute {ital S}-, {ital P}-, and {ital 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 {ital S}-wave cross section is so small and why the {ital D} wave is significant. The one-Sturmian theory is used to correct the hidden-crossing theory to take into account the factor ({l_angle}{var_phi}{vert_bar}d{sup 2}{var_phi}/dR{sup 2}{r_angle}+(1/4)/R{sup 2}). We have considered this correction term in computing the {ital P}- and {ital 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. {copyright} {ital 1999} {ital The American Physical Society}

• OSTI ID: 341378
• Journal Information: Physical Review A, Journal Name: Physical Review A Journal Issue: 6 Vol. 59; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
CROSS SECTIONS
D WAVES
HYDROGEN
P WAVES
POSITRON-ATOM COLLISIONS
POSITRONIUM
S WAVES
THREE-BODY PROBLEM