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Title: Mott scattering of polarized electrons in a strong laser field

Abstract

We present analytical and numerical results of the relativistic calculation of the transition matrix element S{sub fi} and differential cross sections for Mott scattering of initially polarized Dirac particles (electrons) in the presence of a strong laser field with linear polarization. We use exact Dirac-Volkov wave functions to describe the dressed electrons and the collision process is treated in the first Born approximation. The influence of the laser field on the degree of polarization of the scattered electron is reported.

Authors:
; ;  [1];  [2]
  1. UFR de Physique Atomique, Moleculaire et Optique Appliquee, Faculte des Sciences, Universite Moulay Ismaiel, Boite Postale 4010, Beni M'hamed, Meknes (Morocco)
  2. (Morocco)
Publication Date:
OSTI Identifier:
20653316
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. A; Journal Volume: 71; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevA.71.043401; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; BORN APPROXIMATION; CORRECTIONS; DIFFERENTIAL CROSS SECTIONS; ELECTRON-ATOM COLLISIONS; ELECTRONS; ENERGY LEVELS; LASER RADIATION; MATRIX ELEMENTS; MOTT SCATTERING; POLARIZATION; RELATIVISTIC RANGE; WAVE FUNCTIONS

Citation Formats

Manaut, B., Taj, S., Attaourti, Y., and Laboratoire de Physique des Hautes Energies et d'Astrophysique, Faculte des Sciences Semlalia, Universite Cadi Ayyad, Marrakech, Boite Postale 2390. Mott scattering of polarized electrons in a strong laser field. United States: N. p., 2005. Web. doi:10.1103/PhysRevA.71.043401.
Manaut, B., Taj, S., Attaourti, Y., & Laboratoire de Physique des Hautes Energies et d'Astrophysique, Faculte des Sciences Semlalia, Universite Cadi Ayyad, Marrakech, Boite Postale 2390. Mott scattering of polarized electrons in a strong laser field. United States. doi:10.1103/PhysRevA.71.043401.
Manaut, B., Taj, S., Attaourti, Y., and Laboratoire de Physique des Hautes Energies et d'Astrophysique, Faculte des Sciences Semlalia, Universite Cadi Ayyad, Marrakech, Boite Postale 2390. 2005. "Mott scattering of polarized electrons in a strong laser field". United States. doi:10.1103/PhysRevA.71.043401.
@article{osti_20653316,
title = {Mott scattering of polarized electrons in a strong laser field},
author = {Manaut, B. and Taj, S. and Attaourti, Y. and Laboratoire de Physique des Hautes Energies et d'Astrophysique, Faculte des Sciences Semlalia, Universite Cadi Ayyad, Marrakech, Boite Postale 2390},
abstractNote = {We present analytical and numerical results of the relativistic calculation of the transition matrix element S{sub fi} and differential cross sections for Mott scattering of initially polarized Dirac particles (electrons) in the presence of a strong laser field with linear polarization. We use exact Dirac-Volkov wave functions to describe the dressed electrons and the collision process is treated in the first Born approximation. The influence of the laser field on the degree of polarization of the scattered electron is reported.},
doi = {10.1103/PhysRevA.71.043401},
journal = {Physical Review. A},
number = 4,
volume = 71,
place = {United States},
year = 2005,
month = 4
}
  • The Mott scattering in the presence of a linearly polarized laser field is investigated in the first Born approximation. The theoretical results indicate that at medium and large scattering angles, a large amount of multiphoton processes take place in the course of scattering. The photoabsorption (inverse bremsstrahlung) predominates the photoemission (bremsstrahlung). The sum rule for the multiphoton cross sections is notably violated. When the laser polarization deviates from the incident direction, the laser-modified (summed) cross section shows a considerable dependence on the azimuthal angle of the scattered electron. The dependencies of the cross section on the field strength, the frequency,more » the polarization direction, and the electron-impact energy are studied.« less
  • We study Mott scattering in the presence of a strong elliptically polarized field. Using the first Born approximation and the Dirac-Volkov states for the electron, we obtain an analytic formula for the unpolarized differential cross section. This generalizes the results found for the linearly polarized field by Li et al. [ 67, 063409 (2003)] and for the circularly polarized field by Attaourti and Manaut [ 68, 067401 (2003)].
  • The first Born differential cross section for Mott scattering of a Dirac-Volkov electron is reviewed. The expression (26) derived by Szymanowski et al. [Phys. Rev. A 56, 3846 (1997)] is corrected. In particular, we disagree with the expression of (d{sigma}/d{omega}) 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.
  • We investigate high-order above-threshold ionization (HATI) of diatomic molecules having different symmetries by an elliptically polarized laser field using the modified molecular strong-field approximation. The yields of high-energy electrons contributing to the plateau region of the photoelectron spectra strongly depend on the employed ellipticity. This is more pronounced if the major axis of the polarization ellipse is parallel or perpendicular to the molecular axis and at the end of the high-energy plateau. For the O{sub 2} molecule (characterized by {pi}{sub g} symmetry) the maximum yield is observed for some value of the ellipticity {epsilon} different from zero. On the othermore » hand, in the same circumstances, the N{sub 2} molecule ({sigma}{sub g}) behaves as an atom, i.e., the yield is maximum for {epsilon}=0. These characteristics of the photoelectron spectra remain valid in a wide region of the molecular orientations and laser peak intensities. The symmetry properties of the molecular HATI spectra are considered in detail: by changing the molecular orientation one or other type of the symmetry emerges or disappears. Presenting differential ionization spectra in the ionized electron energy-emission angle plane we have observed similar interference effects as in the HATI spectra governed by a linearly polarized field.« less