Eur. Phys. J. D (2015) 69: 160
https://doi.org/10.1140/epjd/e2015-60141-5

Regular Article

Second-order Born calculation of laser-assisted single ionization of helium by electrons

UFR de Physique du Rayonnement et des Interactions Laser-Matière, Faculté des Sciences, Université Moulay Ismail, B.P. 11201, Zitoune, Meknès, Morocco

^a e-mail: ajanaimane@gmail.com

Received: 2 March 2015
Received in final form: 20 May 2015
Published online: 18 June 2015

Abstract

The Born approximation has been extended to second-order Born amplitude in order to describe the laser-assisted single ionization of helium atom by impact of electrons. In this study, we have used a Sturmian basis expansion to perform detailed calculations of the scattering amplitudes. We discuss the influence of varying the incident energy on the angular distribution of the ejected electron. From analysis of the results, we find that second-order calculation is significantly different from the first-order calculation at low incoming energies. It means that the process of the laser-assisted single ionization of helium by slow incident electron requires a double interaction of this electron with the target.