Relativistic electronic dressing in laser-assisted electron-hydrogen elastic collisions

Attaourti, Y.; Manaut, B.; Makhoute, A.

doi:10.1103/physreva.69.063407

Cited by 28 publications

(18 citation statements)

References 24 publications

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“…Using the Dirac-Volkov wave function that incorporates this anomaly [18], we found the analytical expression of the corresponding DCS. A spatial integral part that has been found in a previous work [21] remains the same for the study of this process. The various coefficients that intervene in the expression of S f i have been obtained using Reduce [22].…”

Section: Discussionsupporting

confidence: 59%

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Electron’s anomalous magnetic-moment effects on electron-hydrogen elastic collisions in the presence of a circularly polarized laser field

et al. 2010

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The effect of the electron's anomalous magnetic moment on the relativistic electronic dressing for the process of electron-hydrogen atom elastic collisions is investigated. We consider a laser field with circular polarization and various electric field strengths. The Dirac-Volkov states taking into account this anomaly are used to describe the process in the first order of perturbation theory. The correlation between the terms coming from this anomaly and the electric field strength gives rise to new results, namely the strong dependence of the spinor part of the differential cross section (DCS) with respect to these terms. A detailed study has been devoted to the non relativistic regime as well as the moderate relativistic regime. Some aspects of this dependence as well as the dynamical behavior of the DCS in the relativistic regime have been addressed.

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Section: Discussionsupporting

confidence: 59%

“…where the expression of H(∆ n ) has already been derived in a previous work [21],where ∆ n = |q f − q i − nk| is the momentum transfer with the net exchange of n photons.We have obtained for H(∆ n ) the following analytical expression :…”

Section: Theorymentioning

confidence: 99%

Electron’s anomalous magnetic-moment effects on electron-hydrogen elastic collisions in the presence of a circularly polarized laser field

et al. 2010

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“…It is clear that the situation is different than in elastic collision [4], since we have no singularity in the case ∆ → 0.…”

Section: Integral Over Rmentioning

confidence: 90%

“…Payne et al [3] have studied the electron-impact excitation of the 5s −→ 5p resonance transition in rubidium by using a semirelativistic Breit-Pauli R-matrix with pseudo-states (close-coupling) approach. Attaourti et al [4] have investigated the exact analytical relativistic excitation 1S 1/2 −→ 1S 1/2 of atomic hydrogen by electron impact in the presence of a laser field. They have found that a simple formal analogy links the analytical expressions of the unpolarized differential cross--section (DCS) without laser and the unpolarized differential cross section in the presence of a laser field.…”

Section: Introductionmentioning

confidence: 99%

Semirelativistic 1s-2s Excitation of Atomic Hydrogen by Electron Impact

2011

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In the framework of the first Born approximation, we present a semirelativistic theoretical study of the inelastic excitation (1s 1/2 −→ 2s 1/2 ) of hydrogen atom by electronic impact. The incident and scattered electrons are described by a free Dirac spinor and the hydrogen atom target is described by the Darwin wave function. Relativistic and spin effects are examined in the relativistic regime. A detailed study has been devoted to the nonrelativistic regime as well as the moderate relativistic regime. Some aspects of this dependence as well as the dynamic behavior of the differential cross-section in the relativistic regime have been addressed.

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“…(26) of [1]. The corrections that we made allowed us to study other processes that were published in Physical Review A., namely an first article concerning the relativistic electronic dressing in laser assisted electron-hydrogen elastic collisions [10], another concerning the process of Mott scattering in an elliptically polarized laser field [11] as well as a third work dealing with the process of Mott scattering of polarized electrons in a strong laser field [12]. For the difficult process of ionization of atomic hydrogen by electron impact, we published an article concerning the importance of the relativistic electronic dressing in laser-assisted ionization of atomic hydrogen by electron impact [13].…”

Section: Resultsmentioning

confidence: 99%

Mott scattering in strong laser fields revisited

et al. 2009

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In this work, we review and correct the first Born differential cross section for the process of Mott scattering of a Dirac-Volkov electron, namely, the expression (26) derived by Szymanowski et al [Physical Review A 56, 3846 (1997)]. In particular, we disagree with the expression of dσ dΩ they obtained and we give the exact coefficients multiplying the various Bessel functions appearing in the scattering differential cross section. Comparison of our numerical calculations with those of Szymanowski et al. shows qualitative and quantitative differences when the incoming total electron energy and the electric field strength are increased particularly in the direction of the laser propagation. Such corrections are very important since the relativistic electronic dressing of any Dirac-Volkov charged particle gives rise to these coefficients that multiply the various Bessel functions and the relativistic study of other processes (such as excitation, ionisation, etc....) depends strongly of the correctness and reliability of the calculations for this process of Mott Scattering in presence of a laser field. Our work has been accepted [Y. Attaourti, B. Manaut, Physical Review A 68, 067401 (2003)] but only as a comment. In this paper, we give the full details of the calculations as well as the clear explanation of the large discrepancies that their results could cause when working in the ultra relativistic regime and using a very strong laser field corresponding to an electric field ε = 5.89 in atomic units. PACS number(s): 34.80. Qb, 12.20.Ds

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Relativistic electronic dressing in laser-assisted electron-hydrogen elastic collisions

Cited by 28 publications

References 24 publications

Electron’s anomalous magnetic-moment effects on electron-hydrogen elastic collisions in the presence of a circularly polarized laser field

Electron’s anomalous magnetic-moment effects on electron-hydrogen elastic collisions in the presence of a circularly polarized laser field

Semirelativistic 1s-2s Excitation of Atomic Hydrogen by Electron Impact

Mott scattering in strong laser fields revisited

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