Exchange effects and second-order Born corrections in laser-assisted<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mo>(</mml:mo><mml:mi>e</mml:mi><mml:mo>,</mml:mo><mml:mspace width="0.28em" /><mml:mn>2</mml:mn><mml:mi>e</mml:mi><mml:mo>)</mml:mo></mml:math>collisions with helium atoms

Ajana, Imane; Makhoute, A.; Khalil, D.; Chaddou, Souhaila

doi:10.1103/physreva.91.043411

Cited by 6 publications

(6 citation statements)

References 55 publications

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“…The semi-perturbative treatment of laser-assisted (e, 2e) reactions, described above for the case of an atomic hydrogen target, has been extended by Joachain et al [29], Khalil et al [31], Makhoute et al [32,44,46], Bouzidi et al [81] and Ajana et al [43,45] to laser-assisted (e, 2e) reactions in helium, for which the possibilities of performing experiments are more favorable. These studies also showed that the choice of the laser parameters can strongly influence the dynamics of such processes, and that target-dressing effects can be important.…”

Section: The Semi-perturbative Methodsmentioning

confidence: 99%

“…Thus the need for a more refined theory cannot be over emphasized, as was also pointed out by Hörr et al [20]. This motivated us to attempt many works that study the laser-assisted single ionization of hydrogen and helium atoms in the Ehrhardt asymmetric geometry using a second-order Born calculation [41][42][43][44][45][46]. Our group have also studied the symmetric case by restricting to a first Born treatment [47,48].…”

Section: Introductionmentioning

confidence: 95%

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Laser-Assisted (e, 2e) Collisions in the Symmetric/Asymmetric Coplanar Geometry

Makhoute

Khalil

Ajana

2019

Atoms

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In this review, we present a comprehensive survey of laser-assisted (e, 2e) reactions. The influence of a laser field on the dynamics of (e, 2e) collisions in atomic hydrogen is analyzed in the symmetric and asymmetric coplanar geometries. Particular attention is devoted to the construction of the dressed (laser-modified) target wave functions, in both the initial and final states. The calculation is performed in the framework of Coulomb-Volkov-Born approximation, where the initial and final electrons are described by Volkov wave functions, while the interaction of the incident electron with the target atom is treated in the first and the second Born approximation. The state of the ejected electron is described by a Volkov/Coulomb-Volkov wave function. A detailed account is also given of the techniques we have used to evaluate the scattering amplitudes. The influence of the laser parameters (frequency, intensity, and direction of polarization) on the angular distribution of the ejected electron is discussed, and a number of illustrative examples are given. The structure of the triple differential cross section in the vicinity of resonances is also analyzed.

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Section: The Semi-perturbative Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 95%

Laser-Assisted (e, 2e) Collisions in the Symmetric/Asymmetric Coplanar Geometry

Makhoute

Khalil

Ajana

2019

Atoms

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“…For instance, it has been shown that the computed differential cross-sections encode information about the avoided crossing induced by a resonant laser field [23], which in turn can be controlled by varying the properties of the laser fields, as well as those of the monoenergetic electron beam [24,25]. At a low electron energy, the second-order Born approximation is required in order to take into account the additional effects such as the exchange effects [26,27], which are necessary for the precise comparison with an experiment. Additional methods are based on the R-matrix Floquet approach [28,29] and the Born-Floquet method [23,30].…”

Section: Introductionmentioning

confidence: 99%

Simultaneous Excitation of Helium by Means of an Electron and a Photon: A Joined Experimental and Theoretical Study

Ajana

Nehari

Khalil

et al. 2021

Atoms

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We report on a joined experimental and theoretical study of differential cross-sections resulting from inelastic scattering of a monoenergetic electron by helium atoms in the presence of an intense carbon dioxide laser. In particular, we measured the signals of the scattered electrons during the simultaneous electron–photon excitation of He 21P state for the first three microseconds of the laser pulse. The signals were measured for an incident electron energy of 45 eV and showed a structure that emerged at small scattering angles. The latter was found to be sensitive to the nature of the transferred photons, as well as the intensity of the laser field. The experimental findings were supported by quantum calculations based on the second-order Born approximation in which the correlated electron–electron interactions were taken into account.

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“…We have considered in the present work only the leading term, g B ℓ ion , 1 , of the exchange amplitude for laser-assisted ionization with the transfer of ℓ photons used in [31]. It is known [32,33] that the exchange effect in collisions are important at low velocities. Thus, the first Born TDCS, with the transfer of ℓ photons, is given by …”

Section: Theorymentioning

confidence: 99%

Laser-assisted coplanar symmetric (e, 2e) triple differential cross sections

Khalil¹,

Tlidi

Makhoute

et al. 2017

J. Phys. B: At. Mol. Opt. Phys.

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The second Born approximation in laserassisted (e, 2e) collisions in hydrogen I Ajana, A Makhoute, D Khalil et al. AbstractThe modification due to an external linearly polarized monochromatic laser field on the dynamics of the ionization process of an atomic hydrogen by electron-impact is studied theoretically for a coplanar symmetric geometry. The interaction of the laser field with the unbound electrons is treated in a non-perturbative way. The wave functions of the ingoing and outgoing electrons in the laser field are treated as non-relativistic Volkov waves, while the interaction of the bound electron with the laser field is treated by using first-order perturbation theory, assuming that the electric field strength associated with the external laser field is much less than the atomic unit e a 5 10 V cm 2 9 1 =´-. The influence of the laser parameters on the angular distribution is analyzed and several illustrative examples are discussed. Significant changes are noted both in the shape and magnitude of the triple differential cross sections (TDCS) by the application of the laser field. Numerical results show that the TDCS are strongly dependent on the dressing of the projectile by the laser field at low frequency in (e, 2e) spectroscopy region.

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Exchange effects and second-order Born corrections in laser-assisted(e,2e)collisions with helium atoms

Cited by 6 publications

References 55 publications

Laser-Assisted (e, 2e) Collisions in the Symmetric/Asymmetric Coplanar Geometry

Laser-Assisted (e, 2e) Collisions in the Symmetric/Asymmetric Coplanar Geometry

Simultaneous Excitation of Helium by Means of an Electron and a Photon: A Joined Experimental and Theoretical Study

Laser-assisted coplanar symmetric (e, 2e) triple differential cross sections

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