Ajana, I. and Makhoute, A. and Khalil, D. and Dubois, A. (2014) The second Born approximation in laser-assisted (e, 2e) collisions in hydrogen. Journal of Physics B: Atomic, Molecular and Optical Physics, 47 (17).

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The second Born approximation has been used to calculate the triple differential cross sections for electron-impact ionization of atomic hydrogen in the presence of a linearly polarized laser field. The interaction of the laser field with the unbound electrons is treated in a nonperturbative way by the use of Volkov waves. We have used the wave function proposed by Joachain et al (1988 Phys. Rev. Lett. 61 165) for the ejected electron moving in the combined field of the residual photon and of the laser. We present a more precise treatment of the small-energy region of the incident electron by performing the calculation of the second Born term in this energy region. Detailed calculations of the scattering amplitudes are evaluated by using the Sturmian basis expansion. The second-order Born amplitude is capable of giving a reasonable correction to the first Born approximation model in studying laser-assisted (e, 2e) problems in the low energy range. © 2014 IOP Publishing Ltd.

Item Type: Article
Uncontrolled Keywords: Atomic physics; Electron scattering; Hydrogen; Impact ionization, Electron-impact ionization; Second Born approximation; small-energy region; Sturmian; Triple differential cross sections, Born approximation
Subjects: Physics and Astronomy
Divisions: SCIENTIFIC PRODUCTION > Physics and Astronomy
Depositing User: Administrateur Eprints Administrateur Eprints
Last Modified: 31 Jan 2020 15:49
URI: http://eprints.umi.ac.ma/id/eprint/4490

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