Exact relativistic second Born approximation for electron capture
- 1 November 1985
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 32 (5) , 3106-3108
- https://doi.org/10.1103/physreva.32.3106
Abstract
We derive the exact asymptotic behavior of the second Born approximation for electron capture. The transfer probability as a function of impact parameter and the cross section is shown to go like (lnE/E, where E is the collision energy. This result is the same as for the impulse approximation, and is independent of the initial- and final-state wave functions. In particular, it is also true for capture to the continuum.
Keywords
This publication has 13 references indexed in Scilit:
- Relativistic second Born approximation for electron captureJournal of Physics B: Atomic and Molecular Physics, 1984
- Experimental Observation of the Thomas Peak in High-Velocity Electron Capture by Protons from HePhysical Review Letters, 1983
- Correction toExpansions for Electron CapturePhysical Review Letters, 1981
- Charge transfer in heavy-ion collisions at relativistic velocitiesThe European Physical Journal A, 1980
- Relativistic classical theory of electron captureJournal of Physics B: Atomic and Molecular Physics, 1979
- Relativistic effects in electron capture from a hydrogenlike atom by a fast-moving bare ionPhysical Review A, 1979
- Impact-parameter formulation of the impulse approximation for charge exchangeJournal of Physics B: Atomic and Molecular Physics, 1977
- High energy limit in rearrangement collisionsThe European Physical Journal A, 1969
- Relativistic effects in charge transferProceedings of the Physical Society, 1964
- On the capture of electrons by moving electrified particlesProceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, 1927