Eur. Phys. J. D 19, 157-163 (2002)
https://doi.org/10.1140/epjd/e20020068

Electron-atomic-hydrogen “elastic" scattering in the presence of a laser field

¹ Open Laboratory of Bond Selective Chemistry, Department of Modern Physics, University of Science and Technology of China, P.O. Box 4, Hefei, Anhui 230027, P.R. China
² China Center of Advanced Science and Technology (World Laboratory), P.O. Box 8730, Beijing 100080, P.R. China
³ Department of Modern Physics, University of Science and Technology of China, P.O. Box 4, Hefei, Anhui 230027, P.R. China

Corresponding authors: ^a lism@ustc.edu.cn enoch@126.com

Received: 18 October 2001
Revised: 26 December 2001
Published online: 15 May 2002

Abstract

Laser-assisted electron-atomic-hydrogen “elastic" scattering is studied in the first Born approximation. The initial and final states of projectile electron are described by the Volkov wavefunctions; the dressed state of target described by a time-dependent perturbative wavefunction in soft photon approximation. The laser modified cross-sections are calculated in two distinct geometries for laser polarization either parallel or perpendicular to the incident direction of electron. The numerical results shows that the multiphoton cross-sections oscillate by a few orders over the whole scattering angular region. The results for a parallel geometry oscillate more frequently in the intermediate angles; while the results for a perpendicular geometry oscillate more frequently in the forward and backward angles. At large scattering angles, the sum rule of Kroll and Watson is noticeably violated. The laser modification on summed total cross-section increases with field strength, but decreases with field frequency and polarization deviation from the incident direction.