Many-Particle Effects at Anomalous Elastic X-Ray Photon Scattering by an Atom and an Atomic Ion

  • Alexey N. HoperskyEmail author
  • Victor A. Yavna
Part of the Springer Series on Atomic, Optical, and Plasma Physics book series (SSAOPP, volume 58)


In the second chapter, within the second-order quantum-mechanical perturbation theory, formulated are the many-particle quantum theory and the methods of calculation of the differential cross-section of the anomalous elastic scattering of an X-ray photon by an atom and an atomic ion near their inner-shell ionization thresholds. A general analytical structure of the form-factor of an atom with any ground-state term is stated. The effect of the many-electron correlations and nonsphericity of the absolute values and shapes of the form-factor of the spherical-symmetry approximation is studied. The absolute values and the shapes of the differential cross-sections of the anomalous elastic scattering cross-sections are calculated for set of particular atoms and atomic ions.


Argon Atom Ionization Threshold Xenon Atom Atomic Ground State 10Ne Atom 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  1. 1.Department of MathematicsRostov State University of Transport CommunicationRostov-on-DonRussia

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