Electron capture by charged particles at relativistic energies
- 14 August 1980
- journal article
- Published by IOP Publishing in Journal of Physics B: Atomic and Molecular Physics
- Vol. 13 (15) , 2975-2981
- https://doi.org/10.1088/0022-3700/13/15/015
Abstract
The Oppenheimer-Brinkman-Kramers approximation is used to derive scattering amplitude for electron capture by a nucleus of charge ZBe from a hydrogenic ion having nuclear charge ZAe. Allowance is made for relativistic effects arising from the high velocity of relation motion of the charged particles involved in the collision and from the use of Dirac atomic wavefunctions. Simple analytical expressions fot the OBK cross sections for capture without and with spin flip are derived by expanding in powers of alpha ZA and alpha ZB where alpha is the fine-structure constant. These formulae are found to be in very good agreement with our numerical integrations of the full analytical expressions for the scattering amplitudes when alpha ZA and alpha ZB are small. The authors results are also in excellent accordance with the relativistic calculations of Shakeshaft (1979) for the case of electron capture without spin flip.Keywords
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