Perturbation approximations for scattering amplitudes in ion-atom collisions

1 April 1988

journal article
research article
Published by American Physical Society (APS) in Physical Review A

Vol. 37 (7) , 2365-2377
https://doi.org/10.1103/physreva.37.2365

Abstract

Approximate amplitudes for excitation and electron capture in ion-atom collisions frequently employ plane waves of relative motion, even though it is known that higher-order terms in the formal expansion are frequently divergent when the fragments in the final state interact through long-range Coulomb interactions. The Coulomb-Born expansion is free of such divergences, but the higher-order terms are more difficult to evaluate than the corresponding terms with plane waves. We show how to use plane waves of relative motion without encountering divergent terms in higher order even with Coulomb potentials present. The procedures apply to several common expansions, but encounter conceptual difficulties when applied to multiple-scattering expansions.

Keywords

This publication has 21 references indexed in Scilit:

Electron capture by protons from theK-shell of H and Ar
The European Physical Journal D, 1986
Experimental Observation of the Thomas Peak in High-Velocity Electron Capture by Protons from He
Physical Review Letters, 1983
Theory of electron capture from a hydrogenlike ion by a bare ion
Physical Review A, 1982
Correction to $\frac{Z_{P}}{Z_{T}}$ Expansions for Electron Capture
Physical Review Letters, 1981
On the semiclassical impulse approximation for electron capture in asymmetric ion-atom collisions
The European Physical Journal A, 1980
Inner-shell-electron capture by $H^{+}$ , ${He}^{2 +}$ , and ${Li}^{3 +}$ projectiles from C $H_{4}$ , Ne, and Ar
Physical Review A, 1979
Mechanisms for charge transfer (or for the capture of any light particle) at asymptotically high impact velocities
Reviews of Modern Physics, 1979
$K$ -shell capture by protons from $O_{2}$ , $N_{2}$ , and Ne
Physical Review A, 1977
Impact-parameter formulation of the impulse approximation for charge exchange
Journal of Physics B: Atomic and Molecular Physics, 1977
On the capture of electrons by moving electrified particles
Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, 1927