Second-order continuum-distorted-wave double-scattering nlm transitions
- 28 July 1985
- journal article
- Published by IOP Publishing in Journal of Physics B: Atomic and Molecular Physics
- Vol. 18 (14) , 2893-2906
- https://doi.org/10.1088/0022-3700/18/14/014
Abstract
A continuum-distorted-wave (CDW) theory of charge transfer is developed to second order. Closed analytical results are obtained for the second-order CDW (CDW2) non-relativistic double-scattering Thomas total cross sections for 1sZA to nBlmZB, nBlZB and nBZB charge transfer transitions, where the omission of a quantum number implies summation. It is proven that these cross sections agree exactly with the corresponding second-order Oppenheimer-Brinkman-Kramers (OBK2) non-relativistic double-scattering Thomas cross sections. The first-order CDW (CDW1) Thomas theory is shown to be correct fortuitously for only 1sZA to 1sZB transitions. It is shown that the CDW2-OBK2 cross section for the 1sZA to nBZB transition is simply the corresponding CDW1 cross section multiplied by the Jacobi polynomial 2F1(1-nB, 1/2; 2; (4ZAZB/nB)/(ZA+ZB/nB)2). Specimen l and nB distributions are presented. It is concluded that existing criticisms of CDW theory are now well founded.Keywords
This publication has 15 references indexed in Scilit:
- A second-order symmetric eikonal approximation for electron capture at high energiesJournal of Physics B: Atomic and Molecular Physics, 1985
- Electron capture in asymmetric collisionsPhysical Review A, 1984
- A second-order continuum distorted-wave theory of charge transfer at high energyJournal of Physics B: Atomic and Molecular Physics, 1984
- Ionisation of atoms by ion impactJournal of Physics B: Atomic and Molecular Physics, 1983
- Refined Orthogonal Variation-Perturbation Continuum-Distorted-Wave Treatment of BZ++ H(1s) → B(Z-1)+(n) + H+at intermediate velocity forn,Zgg 1Physica Scripta, 1983
- Refined orthogonal variational treatment of continuum distorted wavesJournal of Physics B: Atomic and Molecular Physics, 1982
- Theory of electron capture from a hydrogenlike ion by a bare ionPhysical Review A, 1982
- Systematics of the single and double electron scattering contributions to charge exchangeJournal of Physics B: Atomic and Molecular Physics, 1981
- Continuum distorted waves: capture into the nth shellJournal 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