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.
Graphical abstract
Similar content being viewed by others
References
C.T. Whelan, H.R.J. Walters, Coincidence Studies of Electron and Impact Ionization (New York, Plenum, 1997)
C.T. Whelan, R.J. Allan, J. Rasch, H.R.J. Walters, X. Zhang, J. Roder, K. Jung, H. Ehrhardt, Phys. Rev. A 50, 4394 (1994)
M. Brauner, J.S. Briggs, H.J. Klar, J. Phys. B 22, 2265 (1989)
J. Colgan, M.S. Pindzola, F.J. Robicheaux, D.C. Grffin, M. Baertschy, Phys. Rev. A 65, 042721 (2002)
O. Zatsarinny, K. Bartschat, Phys. Rev. Lett. 107, 023203 (2011)
C. Pan, A.F. Starace, Phys. Rev. Lett 67, 185 (1991)
D.H. Madison, R.V. Calhoun, W.N. Shelton, Phys. Rev. A 16, 552 (1977)
G. Purohit, R. Choubisa, V. Patidar, K.K. Sud, Phys. Scr. 69, 208 (2004)
T.N. Rescigno, M. Baertschy, W.A. Isaacs, C.W. McCurdy, Science 286, 2474 (1991)
F.W. Byron, C.J. Joachain, Phys. Rep. 179, 211 (1989)
H. Ehrhardt, M. Schulz, T. Tekaat, K. Willmann, Phys. Rev. Lett. 22, 89 (1969)
U.Jr. Amaldi, A. Egidi, R. Marconero, G. Pizzella, Rev. Sci. Instrum. 40, 1001 (1969)
S. Rioual, J. Roder, B. Rouvellou, H. Ehrhardt, A. Pochat, I. Bray, D.V. Fursa, J. Phys. B 31, 3117 (1998)
I. Bray, D.V. Fursa, J. Roder, H. Ehrhardt, Phys. Rev. A 57, R3161 (1998)
I. Bray, Phys. Rev. Lett. 89, 273201 (2002)
J. Colgan, M.S. Pindzola, G. Childers, M.A. Khakoo, Phys. Rev. A 73, 042710 (2006)
A.T. Stelbovics, I. Bray, D.V. Fursa, K. Bartschat, Phys. Rev. A 71, 052716 (2005)
C. Höhr, A. Dorn, B. Najjari, D. Fischer, C.D. Schröter, J. Ullrich, Phys. Rev. Lett. 94, 153201 (2005)
C. Höhr, A. Dorn, B. Najjari, D. Fischer, C.D. Schröter, J. Ullrich, J. Electron Spectrosc. Relat. Phenom. 161, 172 (2007)
F.W. Byron, C.J. Joachain, B. Piraux, Phys. Lett. A 99, 427 (1983)
F.W. Byron, C.J. Joachain, B. Piraux, Phys. Lett. A 106, 299 (1984)
B. Lohmann, I.E. McCarthy, A.T. Stelbovics, E. Weigold, Phys. Rev. A 30, 758 (1984)
F.W. Byron, C.J. Joachain, B. Piraux, J. Phys. B 18, 3203 (1985)
I. Ajana, A. Makhoute, D. Khalil, A. Dubois, J. Phys. B 47, 175001 (2014)
A. Makhoute, I. Ajana, D. Khalil, Phys. Rev. A 90, 053415 (2014)
D.M. Volkov, Z. Phys. 94, 50 (1935)
F.W. Byron, P. Francken, C.J. Joachain, J. Phys. B 20, 5487 (1987)
D. Khalil, A. Maquet, R. Taïeb, C.J. Joachain, A. Makhoute, Phys. Rev. A 56, 4918 (1997)
A. Makhoute, D. Khali, A. Maquet, C.J. Joachain, R. Taïeb, J. Phys. B 32, 3255 (1999)
R. Taïeb, V. Véniardt, A. Maquet, S. Vucic, R.M. Potvliege, J. Phys. B 24, 3229 (1991)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Makhoute, A., Ajana, I., Khalil, D. et al. Second-order Born calculation of laser-assisted single ionization of helium by electrons. Eur. Phys. J. D 69, 160 (2015). https://doi.org/10.1140/epjd/e2015-60141-5
Received:
Revised:
Published:
DOI: https://doi.org/10.1140/epjd/e2015-60141-5