Multiple-scattering approaches to the electron transfer process. I. Some calculable approximations
- 28 February 1984
- journal article
- Published by IOP Publishing in Journal of Physics B: Atomic and Molecular Physics
- Vol. 17 (4) , 641-658
- https://doi.org/10.1088/0022-3700/17/4/018
Abstract
Explicit expressions for capture of an electron to and from arbitrary hydrogenic states are presented for various multiple-scattering approaches, namely approximate forms of the strong-potential Born (SPB) and impulse approximations (IA) as well as the continuum distorted-wave (CDW) approximation. In the latter case, however, the authors limit the calculation to an initial 1s state. The transition amplitudes are reduced in all cases to closed-form analytical formulae leaving a single numerical integration to obtain the capture cross sections. The author discusses some symmetry and scaling properties of the post (+) and prior (-) forms of the different methods and, as a first application of the newly gained analytical amplitudes, the author extracts some new asymptotic results. The necessary mathematical tools for the evaluation of a common matrix element appearing in the SPB, IA and CDW are provided in an appendix, where it is shown how the relevant transition amplitudes can all be obtained from one generating integral.Keywords
This publication has 39 references indexed in Scilit:
- Theory of electron capture from a hydrogenlike ion by a bare ion: Intermediate-state contributions to the amplitudePhysical Review A, 1983
- Electron capture to Rydberg states: C4+in collisions with H2Journal of Physics B: Atomic and Molecular Physics, 1982
- Bound-free non-relativistic transition form factors in atomic hydrogenJournal of Physics B: Atomic and Molecular Physics, 1981
- A symmetric impulse approximation for charge exchangeJournal of Physics B: Atomic and Molecular Physics, 1980
- The second Born approximation to the electron transfer cross sectionJournal of Physics B: Atomic and Molecular Physics, 1980
- Electron capture in high-energy ion-atom collisionsPhysics Reports, 1979
- Approximation Scheme for Electron Capture into Arbitrary Principal Shells of Energetic Bare ProjectilesPhysical Review Letters, 1979
- High-energy behaviour of the transition probabilities and total cross sections for charge exchangeJournal of Physics B: Atomic and Molecular Physics, 1977
- Impact-parameter formulation of the impulse approximation for charge exchangeJournal of Physics B: Atomic and Molecular Physics, 1977
- Electron Capture from Helium by Fast ProtonsProceedings of the Physical Society, 1963