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On the relativistic corrections to the cross-section for inelastic scattering of photons on atomic electrons

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Zeitschrift für Physik D Atoms, Molecules and Clusters

Abstract

The relativistic cross-section for inelastic photon scattering on bound electrons is reconsidered, and lowest-order corrections to the sudden-impulse approximation are derived. These corrections stem from including the presence of the external (Coulombic) field in the electron propagator that propagates the intermediate states of the scattering process. We find that these corrections are of the order Zα with respect to the result obtained within the impulse approximation, and are an order of magnitude larger than the corrections obtained previously by inclusion of the binding effects in the initial state only.

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References

  1. DuMond, J.W.M.: Rev. Mod. Phys. 5, 1 (1933)

    Article  ADS  Google Scholar 

  2. Pauli, W.: Helv. Phys. Acta 6, 279 (1933)

    Google Scholar 

  3. Franz, W.: Z. Phys. 90, 623 (1934)

    Article  ADS  Google Scholar 

  4. Manninen, S., Paakkari, T., Kajantie, K.: Philos. Mag. 29, 167 (1974)

    Article  ADS  Google Scholar 

  5. Eisenberger, P., Reed, W.A.: Phys. Rev. B 9, 3237 (1974)

    Article  ADS  Google Scholar 

  6. Opher, R., Felsteiner, J., Lengeler, B.: private communication

  7. Weyrich, W.: Einige Beitrage zur Compton-Spektroskopie. Habilitationsschrift, Darmstadt 1978

    Google Scholar 

  8. Ross, P.A., Kirkpatrick, P.: Phys. Rev. 44, 223 (1934)

    Article  ADS  Google Scholar 

  9. Ross, P.A., Kirkpatrick, P.: Phys. Rev. 46, 668 (1934)

    Article  ADS  Google Scholar 

  10. Froelich, P., Weyrich, W.: J. Chem. Phys. 80, 5669 (1984)

    Article  ADS  Google Scholar 

  11. Froelich, P., Flores-Riveros, A., Weyrich, W.: J. Chem. Phys. 82, 2305 (1985)

    Article  ADS  Google Scholar 

  12. Froelich, P., Weyrich, W.: J. Chem. Phys. 85, 1456 (1986)

    Article  ADS  Google Scholar 

  13. Froelich, P., Flores-Riveros, A.: J. Chem. Phys. 86, 2674 (1987)

    Article  ADS  Google Scholar 

  14. Akhiezer, A.I., Berestetskii, V.B.: Quantum electrodynamics. New York: Interscience Publishers 1965

    Google Scholar 

  15. Feynman, R.P.: Quantum electrodynamics. Reading, MA: Benjamin-Cummings 1961

    Google Scholar 

  16. Jauch, J.M., Rohrlich, F.: The theory of photons and electrons. Berlin: Springer 1976

    Book  Google Scholar 

  17. Klein, O., Nishina, Y.: Z. Phys. 52, 853 (1929)

    Article  MATH  ADS  Google Scholar 

  18. Owen, D.A.: Phys. Rev. A 16, 1594 (1977)

    Article  ADS  Google Scholar 

  19. Filos, E., Weyrich, W.: to be published

  20. Furry, W.H.: Phys. Rev. 81, 115 (1951)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  21. Casimir, H.: Helv. Phys. Acta 6, 287 (1933)

    Google Scholar 

Download references

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Authors and Affiliations

  1. Department of Quantum Chemistry, Uppsala University, Box 518, S-751 20, Uppsala, Sweden

    P. Froelich

  2. Fakultät für Chemie, Universität Konstanz, Postfach 5560, M 721, D-78434, Konstanz, Germany

    W. Weyrich

Authors
  1. P. Froelich
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  2. W. Weyrich
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Froelich, P., Weyrich, W. On the relativistic corrections to the cross-section for inelastic scattering of photons on atomic electrons. Z Phys D - Atoms, Molecules and Clusters 38, 185–190 (1996). https://doi.org/10.1007/s004600050081

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  • DOI: https://doi.org/10.1007/s004600050081

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