Physics of Particles and Nuclei

, Volume 41, Issue 2, pp 335–357 | Cite as

Born series in the theory of electron impact ionization of an atom

  • V. L. Shablov
  • P. S. Vinitsky
  • Yu. V. Popov
  • O. Chuluunbaatar
  • K. A. Kouzakov
Article

Abstract

In this review, a generalization of few-body quantum scattering theory is given for the case of Coulomb interaction. Since in this specific case the scattering amplitude, which is a solution to a resolvent-type equation, possesses a singularity when the complex parameter z tends to the energy shell, a definition of the physical amplitude is provided. A recipe for regularizing integrals (eliminating divergences), which describe the terms of a perturbation theory series for different perturbing potentials, is formulated. As an example, the general theory is applied to the calculations of differential cross sections for a quasi-elastic electron impact ionization reaction on atomic hydrogen.

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Copyright information

© Pleiades Publishing, Ltd. 2010

Authors and Affiliations

  • V. L. Shablov
    • 1
  • P. S. Vinitsky
    • 2
  • Yu. V. Popov
    • 2
  • O. Chuluunbaatar
    • 3
  • K. A. Kouzakov
    • 4
  1. 1.Obninsk State Technical University for Nuclear Power EngineeringObninsk, Kaluga regionRussia
  2. 2.Institute of Nuclear PhysicsMoscow State UniversityMoscowRussia
  3. 3.Joint Institute for Nuclear ResearchDubna, Moscow regionRussia
  4. 4.Faculty of PhysicsMoscow State UniversityMoscowRussia

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