A note on the asymptotic behaviour of asymmetric charge transfer theories
- 28 May 1983
- journal article
- Published by IOP Publishing in Journal of Physics B: Atomic and Molecular Physics
- Vol. 16 (10) , 1783-1791
- https://doi.org/10.1088/0022-3700/16/10/013
Abstract
The author reduces the problem of finding the leading velocity dependence of the peaked impulse approximation (PIA), the impulse approximation (IA) and the strong-potential Born (SPB) approximation to that of examining the asymptotic behaviour of the double scattering amplitude in the second Born (B2) approximation. Although no strict mathematical proof is given, he presents evidence (both theoretical and numerical) that this procedure is indeed justified. In contrast to the nu -11 dependence of the B2 approximation, the post (prior) form of the PIA gives rise to a leading nu -11-2l' ( nu -11-2l) velocity dependence irrespective of the final (initial) orbital quantum number l (l'). The origin of this discrepancy is discussed and new insight on the use of the peaking approximation is gained. He infers that the asymptotic behaviour (to leading order only) of the IA and SPB approximation agrees with that of the B2 approximation.Keywords
This publication has 20 references indexed in Scilit:
- Electron capture to Rydberg states: C4+in collisions with H2Journal of Physics B: Atomic and Molecular Physics, 1982
- Differential cross sections for high-energy electron capture in the impulse approximationJournal of Physics B: Atomic and Molecular Physics, 1982
- Systematics of the single and double electron scattering contributions to charge exchangeJournal of Physics B: Atomic and Molecular Physics, 1981
- 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
- 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
- Continuum distorted wave approximation; resonant charge transfer by fast protons in atomic hydrogenProceedings of the Physical Society, 1964
- Electron Capture by Fast Protons in HydrogenProceedings of the Physical Society, 1963
- Electron Capture from Helium by Fast ProtonsProceedings of the Physical Society, 1963