Exact second-order Born calculations for relativistic electron capture
- 1 July 1991
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 44 (1) , 377-387
- https://doi.org/10.1103/physreva.44.377
Abstract
Second-order Born cross sections for electron capture in relativistic collisions have been calculated without further approximations for a large number of projectile-target combinations and energies. Within the regime of high-Z target atoms and energies of a few GeV/u, the exactly evaluated cross sections are considerably larger than first-order cross sections, which already overestimate the experimental results. This shows that the Born expansion is not a suitable perturbation series in the charge and energy regime considered. At the same time it is demonstrated that previous evaluations using peaking approximations and αZ expansions are in error by more than an order of magnitude. For p+H collisions the differential cross section exhibits a peak at the classical relativistic Thomas angle.Keywords
This publication has 34 references indexed in Scilit:
- Relativistic eikonal theory of electron capturePhysical Review A, 1985
- Total cross sections for electron capture at relativistic energiesJournal of Physics B: Atomic and Molecular Physics, 1985
- Atomic collisions with relativistic heavy ions. II. Light-ion charge statesPhysical Review A, 1985
- Charge changing cross sections of relativistic uraniumNuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, 1985
- Eikonal calculations of electron capture by relativistic projectilesPhysical Review A, 1985
- Relativistic second Born approximation for electron captureJournal of Physics B: Atomic and Molecular Physics, 1984
- Electron capture by charged particles at relativistic energiesJournal of Physics B: Atomic and Molecular Physics, 1980
- Relativistic effects in charge transferProceedings of the Physical Society, 1964
- On the Quantum Theory of the Capture of ElectronsPhysical Review B, 1928
- 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