Electron impact relativistic excitation 1s − 2p of hydrogen atom

Darwin wave functions, as a quasi-relativistic states describing the hydrogen atom, are used to calculate the differential cross section for inelastic excitation of 2 p state hydrogen atom by electronic impact in various electron energy regions. The use of these wave functions gives interesting resu...

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Bibliographic Details
Published in:Indian journal of physics 2021-12, Vol.95 (12), p.2541-2551
Main Authors: El idrissi, M., Hrour, E., Taj, S., Manaut, B.
Format: Article
Language:English
Subjects:
Astrophysics and Astroparticles
Born approximation
Electron energy
Electron impact
Excitation
Forbidden transitions
Hydrogen
Mathematical analysis
Original Paper
Physics
Physics and Astronomy
Relativistic effects
Wave functions
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Summary:Darwin wave functions, as a quasi-relativistic states describing the hydrogen atom, are used to calculate the differential cross section for inelastic excitation of 2 p state hydrogen atom by electronic impact in various electron energy regions. The use of these wave functions gives interesting results so long as the condition z / c ≪ 1 is verified. The incident and scattered electrons are described by a free Dirac spinor. Relativistic spin effects are taken into account explicitly via the spinorial part. The computed results, in the first Born approximation, are given and discussed by analogy with the non-relativistic regime and the relativistic 1 s → 2 s . They are also compared with some other available theoretical models and with the experimental results of Williams (J Phys B At Mol Phys 14:1197, 1981). The general rule of optically allowed and forbidden transitions is also respected.
ISSN:0973-1458
0974-9845
DOI:10.1007/s12648-020-01886-1