Abstract

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.

Highlights

  • The laser-assisted electron-impact scattering is currently drawing increasing attention from both experimental and theoretical researchers

  • We present the results of our complete computation of the triple differential cross sections (TDCS) in the second Born approximation (SBA), and compared them with the first Born approximation (FBA) ones, and with those obtained when ignoring the dressing of the target

  • We present the results of our complete computation of the TDCS in the second Born approximation, and compare them with the first Born approximation ones, and with those obtained by neglecting the dressing effects by the laser field

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Summary

Introduction

The laser-assisted electron-impact scattering is currently drawing increasing attention from both experimental and theoretical researchers. The need for a more refined theory cannot be over emphasized, as was 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].

Description
Kinematics
Triple Differential Cross Sections
Description of the Laser Field
The Wave Function of the Free Electron in the Presence of a Laser Field
The Dressed Target Wave Function in the Initial State
The Dressed Target Wave Function in the Final State
The Semi-Perturbative Method
Theory
Results and Discussion
Conclusions
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