Hyperspherical coupled-channel study of positronium formation

Journal Article · Fri Jul 01 04:00:00 EDT 1994 · Physical Review A; (United States)

DOI:https://doi.org/10.1103/PhysRevA.50.232· OSTI ID:7041808

Igarashi, A; Toshima, N ^[1]

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1. Institute of Applied Physics, University of Tsukuba, Tsukuba, Ibaraki 305 (Japan)

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([ital n]=1--3) and Ps([ital 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([ital n]=2) becomes significant. The present [ital 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.

• OSTI ID: 7041808
• Journal Information: Physical Review A; (United States), Journal Name: Physical Review A; (United States) Vol. 50:1; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

664500* -- Special Atoms & Molecules-- (1992-)
74 ATOMIC AND MOLECULAR PHYSICS
ATOM COLLISIONS
COLLISIONS
COORDINATES
COUPLED CHANNEL THEORY
CROSS SECTIONS
DIABATIC APPROXIMATION
ELEMENTS
HYDROGEN
NONMETALS
POSITRON COLLISIONS
POSITRON-ATOM COLLISIONS
POSITRONIUM
RESONANCE
YIELDS