Differential cross sections for high-energy electron capture in the impulse approximation
- 4 September 1982
- journal article
- Published by IOP Publishing in Journal of Physics B: Atomic and Molecular Physics
- Vol. 15 (17), 3085-3102
- https://doi.org/10.1088/0022-3700/15/17/033
Abstract
The eikonal form of the exact impulse approximation to electron capture in heavy-ion collisions has been evaluated. Comparison has been made to the peaked form of the impulse approximation, and the exact and peaked second Born expressions. It is found that there are two prominent features of the differential cross section, which all these approximations reproduce with greater or lesser, success; the Thomas peak at scattering angle square root 3 m/2M (m, electron mass; M, projectile mass), and a minimum in the differential cross section at scattering angle m/2M. The peaked second Born amplitude is further analysed to show that whereas the Thomas peak is classical in origin, the minimum is produced by quantum mechanical interference between the first and second Born amplitudes. Finally the effect of an internuclear Coulomb interaction is considered, and it is shown that though the position of the Thomas peak is shifted by the Coulomb interaction, the peak itself will not be destroyed.Keywords
This publication has 21 references indexed in Scilit:
- Differential cross sections in the impact parameter treatment of charge transferJournal of Physics B: Atomic and Molecular Physics, 1981
- Charge transfer in H++He+and He2++H collisionsJournal of Physics B: Atomic and Molecular Physics, 1981
- Electron capture in high-energy ion-atom collisionsPhysics Reports, 1979
- Differential cross sections for charge exchange at high energiesJournal of Physics B: Atomic and Molecular Physics, 1978
- Impact-parameter formulation of the impulse approximation for charge exchangeJournal of Physics B: Atomic and Molecular Physics, 1977
- Inner-shell charge transfer in a distorted-wave eikonal approximation using the asymptotic interactionPhysical Review A, 1977
- Semiclassical approximations in wave mechanicsReports on Progress in Physics, 1972
- High energy limit in rearrangement collisionsThe European Physical Journal A, 1969
- Electron Capture by Fast Protons in HydrogenProceedings of the Physical Society, 1963
- Electron Capture from Helium by Fast ProtonsProceedings of the Physical Society, 1963