Skip to main content
Log in

Resonance mechanism of the production of electron-positron pairs in a strong magnetic field

  • Elementary Particles and Fields
  • Theory
  • Published:
Physics of Atomic Nuclei Aims and scope Submit manuscript

Abstract

The Compton-like process γe ±e ± e + e involving the production of an electron-positron pair in the interaction of an ultrarelativistic electron with a soft x-ray photon in the vicinity of the polar cap of a magnetar is considered. It is shown that the amplitude for this reaction has a resonance character. A simple analytic expression is obtained for the electron-absorption coefficient. Possible astrophysical implications of the resonance process γe ±e ± e + e are discussed.

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

References

  1. V. M. Malofeev et al., Astron. Rep. 49, 242 (2005).

    Article  ADS  Google Scholar 

  2. C. Thompson and R. C. Duncan, Mon. Not. R. Astron. Soc. 275, 255 (1995).

    ADS  Google Scholar 

  3. C. Thompson and R. C. Duncan, Astrophys. J. 473, 322 (1996).

    Article  ADS  Google Scholar 

  4. C. Thompson, M. Lyutikov, and S. R. Kulkarni, Astrophys. J. 574, 332 (2002).

    Article  ADS  Google Scholar 

  5. M. A. Ruderman and P. G. Sutherland, Astrophys. J. 196, 51 (1975).

    Article  ADS  Google Scholar 

  6. N. P. Klepikov, Zh. Eksp. Teor. Fiz. 26, 19 (1954).

    Google Scholar 

  7. T. Erber, Rev.Mod. Phys. 38, 626 (1966).

    Article  ADS  MathSciNet  Google Scholar 

  8. A. M. Beloborodov and C. Thompson, Astrophys. J. 657, 967 (2007).

    Article  ADS  Google Scholar 

  9. A. E. Shabad, Trudy Fiz. Inst. Akad. Nauk 192, 5 (1988).

    MathSciNet  Google Scholar 

  10. A. E. Shabad and V. V. Usov, Nature 295, 215 (1982).

    Article  ADS  Google Scholar 

  11. V. V. Usov and A. E. Shabad, JETP Lett. 42, 19 (1985).

    ADS  Google Scholar 

  12. A. A. Sokolov and I. M. Ternov, Relativistic Electron (Nauka, Moscow, 1974) [in Russian].

    Google Scholar 

  13. A. V. Kuznetsov and N. V. Mikheev, Electroweak Processes in External Electromagnetic Fields (Springer, New York, 2003).

    Google Scholar 

  14. A. V. Kuznetsov and A. A. Okrugin, Int. J. Mod. Phys. A 26, 2725 (2011).

    Article  ADS  MATH  Google Scholar 

  15. I. S. Gradshtein and I. M. Ryzhik, Table of Integrals, Series, and Products (GIFML, Moscow, 1963; Academic, New York, 1980).

    Google Scholar 

  16. H. G. Latal, Astrophys. J. 309, 372 (1986).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to D. A. Rumyantsev.

Additional information

Original Russian Text © D.A. Rumyantsev, 2013, published in Yadernaya Fizika, 2013, Vol. 76, No. 12, pp. 1605–1609.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rumyantsev, D.A. Resonance mechanism of the production of electron-positron pairs in a strong magnetic field. Phys. Atom. Nuclei 76, 1520–1524 (2013). https://doi.org/10.1134/S1063778813110136

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063778813110136

Keywords

Navigation