Electron capture by positrons from atomic hydrogen using the second Born and Padé approximations
- 1 October 1974
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 10 (4) , 1162-1166
- https://doi.org/10.1103/physreva.10.1162
Abstract
The cross sections for electron capture by positrons from atomic hydrogen are calculated using the second Born approximation and the method of Padé approximants for incident positron energy ranging from 12 to 500 eV. The results are compared with those obtained in the first Born approximation and other theoretical calculations. The contributions from the intermediate states higher than the first to the second-order rearrangement scattering amplitude are found to be significant. The nature of the variation of the second Born and the Padé differential cross sections with the angle of scattering is discussed.Keywords
This publication has 10 references indexed in Scilit:
- Collisions by the Faddeev ApproachPhysical Review A, 1973
- Exact Calculation of the Second-Order Born Terms for Proton-Hydrogen Electron-Transfer CollisionsPhysical Review A, 1972
- Multiple-Scattering Expansions for Nonrelativistic Three-Body Collision Problems. VI. Differential and Total Cross Section for Electron-Transfer Rearrangement CollisionsPhysical Review A, 1972
- Approximation methods in the scattering of fast electrons and positrons by hydrogen atomsJournal of Physics B: Atomic and Molecular Physics, 1971
- Positronium Formation in HydrogenPhysical Review B, 1969
- Integral equation approach to electron-hydrogen collisionsJournal of Physics B: Atomic and Molecular Physics, 1968
- Application of a simplified second Born approximation to the scattering of electrons and protons by hydrogen atomsJournal of Physics B: Atomic and Molecular Physics, 1968
- Positronium formation by fast positrons in atomic hydrogenProceedings of the Physical Society, 1964
- Gaseous Reactions involving PositroniumProceedings of the Physical Society. Section A, 1954
- On higher Born approximations in potential scatteringProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1951