Skip to main content
Log in

Elastic scattering amplitude of a scalar particle in a plane wave field

  • Elementary Particle Physics and Field Theory
  • Published:
Soviet Physics Journal Aims and scope

Abstract

The elastic scattering amplitude of a scalar particle in an arbitrary plane wave electromagnetic field is obtained in the form of a double integral by the method of dispersion relations. Particular cases of giving the plane wave field are investigated. It is shown that the existence of scalar particle radiation in an arbitrary plane wave electromagnetic field results in elastic scattering, whose amplitude determines the change in particle mass in this field.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

Literature cited

  1. A. G. Sveshnikov and A. N. Tikhonov, Theory of Functions of a Complex Variable [in Russian], Nauka, Moscow (1967).

    Google Scholar 

  2. M. Gell-Mann, M. Goldberg, and W. Thirring, Probl. Sovrem. Fiz., No. 2, 62 (1957).

    Google Scholar 

  3. N. N. Bogolyubov, B. V. Medvedev, and M. K. Polivanov, Questions of the Theory of Dispersion Relations [in Russian], Nauka, Moscow (1958).

    Google Scholar 

  4. I. S. Gradshtein and I. M. Ryzhik, Tables of Integrals, Sums, Series, and Products [in Russian], Fizmatizdat, Moscow (1962).

    Google Scholar 

  5. Yu. I. Klimenko, É. Yu. Klimenko, A. B. Lysov, and A. I. Khudomyasov, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 7 (1990).

  6. V. I. Ritus, Quantum Electrodynamics of Phenomena in an Intense Field [in Russian], Vol. III, Nauka, Moscow (1979); Zh. Éksp. Teor. Fiz.,57, 2176 (1969).

    Google Scholar 

  7. G. N. Watson, Theory of Bessel Functions, Cambridge Univ. Press, New Jersey.

  8. I. M. Ternov, V. R. Khalilov, and V. N. Rodionov, Charged Particle Interaction with a Strong Electromagnetic Field [in Russian], Izd. Mosk. Gos. Univ., Moscow (1982).

    Google Scholar 

  9. Yu. I. Klimenko and O. S. Pavlova, Yad. Fiz.,29, 167 (1979).

    Google Scholar 

  10. V. G. Bagrov, Yu. I. Klimenko, and O. S. Pavlova, Yad. Fiz.,31, 806 (1980).

    Google Scholar 

  11. V. Ch. Zhukovskii and I. Herrmann, Yad. Fiz.,14, 150 (1971).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 5, pp. 32–37, May, 1990.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Klimenko, Y.I., Klimenko, É.Y., Lysov, A.B. et al. Elastic scattering amplitude of a scalar particle in a plane wave field. Soviet Physics Journal 33, 404–409 (1990). https://doi.org/10.1007/BF00896077

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00896077

Keywords

Navigation