Strong potential wave functions with elastic channel distortion
- 1 June 1989
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 39 (11) , 6064-6067
- https://doi.org/10.1103/physreva.39.6064
Abstract
The strong-potential Born approximation is analyzed in a channel-distorted-wave approach. Channel-distorted SPB wave functions are reduced to a conventional form in which the standard off-energy-shell factor g has been replaced by a modified factor γ, which represents a suitable average of g over the momentum distribution of the distorted-channel function. The modified factor is evaluated in a physically realistic model for the distortion potential, and it is found that γ is well represented by a slowly varying phase factor. The channel-distorted SPB approximation is accordingly identical to the impulse approximation if the phase variation of γ can be ignored. This is generally the case in applications to radiative electron capture and to a good approximation for ordinary capture at not too small velocities.Keywords
This publication has 15 references indexed in Scilit:
- Differential cross sections for electron capture: A comparison of three approximationsPhysical Review A, 1988
- Perturbation approximations for scattering amplitudes in ion-atom collisionsPhysical Review A, 1988
- Long-range terms in atomic collisionsPhysical Review A, 1986
- Distorted-wave methods for electron capture in ion-atom collisionsPhysical Review A, 1986
- Boundary conditions and the strong potential Born approximation for electron captureJournal of Physics B: Atomic and Molecular Physics, 1985
- Treatment of divergent terms in the strong potential born approximationJournal of Physics B: Atomic and Molecular Physics, 1985
- Theory of electron capture from a hydrogenlike ion by a bare ionPhysical Review A, 1982
- Correction toExpansions for Electron CapturePhysical Review Letters, 1981
- Second Born approximation with the Coulomb Green's function: Electron capture from a hydrogenlike ion by a bare ionPhysical Review A, 1980
- Electron capture in fast collisions I. Capture by fast protons in atomic hydrogenProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1961