Skip to main content
Log in

Asymmetry of the Propagation of Left-Handed Neutrinos in an Inhomogeneous Magnetic Field

  • STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS
  • Published:
Journal of Experimental and Theoretical Physics Aims and scope Submit manuscript

Abstract

We analyze the evolution of a neutrino in an inhomogeneous electromagnetic field. Based on exact solutions to the equation describing both flavor oscillations and spin rotation, we obtain the probabilities of neutrino spin–flavor transitions. The propagation of a neutrino in the field of a point magnetic dipole is considered in detail. It is shown that in this case, the total probability of spin rotation depends on the angle between the direction of the neutrino velocity and the dipole axis. The results of analysis show that the effective reduction of the left-polarized neutrino flux from an astrophysical object with a high magnetic field or at the final stage of supernova collapse can be due to spin rotation both in the region with a high density of matter and during further propagation of the neutrino in the field surrounding the object.

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.

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.

Similar content being viewed by others

REFERENCES

  1. B. Pontekorvo, Sov. Phys. JETP 6, 429 (1958).

    ADS  Google Scholar 

  2. L. Wolfenstein, Phys. Rev. D 17, 2369 (1978).

    Article  ADS  Google Scholar 

  3. S. P. Mikheev and A. Yu. Smirnov, Sov. J. Nucl. Phys. 42, 913 (1985).

    Google Scholar 

  4. K. Fujikawa and R. E. Shrock, Phys. Rev. Lett. 45, 963 (1980).

    Article  ADS  Google Scholar 

  5. R. E. Shrock, Nucl. Phys. B 206, 359 (1982).

    Article  ADS  Google Scholar 

  6. A. E. Lobanov and A. I. Studenikin, Phys. Lett. B 515, 94 (2001); arXiv: hep-ph/0106101.

    Article  ADS  Google Scholar 

  7. A. I. Studenikin, Phys. At. Nucl. 67, 993 (2004).

    Article  Google Scholar 

  8. E. Kh. Akhmedov and M. Yu. Khlopov, Phys. Lett. B 213, 64 (1988).

    Article  ADS  Google Scholar 

  9. C. Volpe, Int. J. Mod. Phys. E 24, 1541009 (2015); arXiv: 1506.06222 [hep-ph].

  10. A. Kartavtsev, G. Raffelt, and H. Vogel, Phys. Rev. D 91, 125020 (2015); arXiv: 1504.03230 [hep-ph].

  11. A. Dobrynina, A. Kartavtsev, and G. Raffelt, Phys. Rev. D 93, 125030 (2016); arXiv: 1605.04512 [hep-ph].

  12. A. Vlasenko, G. M. Fuller, and V. Cirigliano, Phys. Rev. D 89, 105004 (2014);

    Article  ADS  Google Scholar 

  13. arXiv: 1309.2628 [hep-ph].

  14. A. I. Ternov, Phys. Rev. D 94, 093008 (2016).

    Article  ADS  Google Scholar 

  15. A. I. Ternov, JETP Lett. 104, 75 (2016).

    Article  ADS  Google Scholar 

  16. A. Grigoriev, E. Kupcheva, and A. Ternov, Phys. Lett. B 797, 134861 (2019).

    Article  MathSciNet  Google Scholar 

  17. P. Kurashvili, K. A. Kouzakov, L. Chotorlishvili, and A. I. Studenikin, Phys. Rev. D 96, 103017 (2017); arXiv: 1711.04303 [hep-ph].

  18. V. O. Egorov and I. P. Volobuev, Phys. Rev. D 100, 033004 (2019).

    Article  ADS  MathSciNet  Google Scholar 

  19. M. Blasone and G. Vitiello, Ann. Phys. 244, 283 (1995).

    Article  ADS  Google Scholar 

  20. C. Giunti, J. Phys. G: Nucl. Part. Phys. 34, R93 (2007).

    Article  ADS  Google Scholar 

  21. R. Jost, Helv. Phys. Acta 39, 369 (1966).

    MathSciNet  Google Scholar 

  22. A. E. Lobanov, Theor. Math. Phys. 192, 1000 (2017).

    Article  MathSciNet  Google Scholar 

  23. A. E. Lobanov, Ann. Phys. 403, 82 (2019); arXiv: 1507.01256 [hep-ph].

  24. A. E. Lobanov and A. V. Chukhnova, Moscow Univ. Phys. Bull. 72, 454 (2017).

    Article  ADS  Google Scholar 

  25. A. V. Chukhnova and A. E. Lobanov, Phys. Rev. D 101, 013003 (2020); arXiv: 1906.09351[hep-ph].

  26. A. V. Chukhnova and A. E. Lobanov, Eur. Phys. J. C 81, 821 (2021); arXiv:2005.04503[hep-ph].

  27. M. Dvornikov and J. Maalampi, Phys. Lett. B 657, 217 (2007).

    Article  ADS  Google Scholar 

  28. A. Popov and A. Studenikin, Eur. Phys. J. C 79, 144 (2019); arXiv: 1902.08195 [hep-ph].

  29. C. Giunti and A. Studenikin, Rev. Mod. Phys. 87, 531 (2015); arXiv: 1403.6344 [hep-ph].

    Article  ADS  Google Scholar 

  30. S. L. Glashow, J. Iliopoulos, and L. Maiani, Phys. Rev. D 2, 1285 (1970).

    Article  ADS  Google Scholar 

  31. F. R. Gantmakher, The Theory of Matrices (Fizmatlit, Moscow, 2010; Chelsea, New York, 1960).

  32. A. E. Lobanov, J. Phys. A 39, 7517 (2006); arXiv: hep-ph/0311021.

    Article  ADS  MathSciNet  Google Scholar 

  33. C. Giunti and C. W. Kim, Fundamentals of Neutrino Physics and Astrophysics (Oxford Univ. Press, New York, 2007).

    Book  Google Scholar 

  34. M. Agostini et al., Phys. Rev. D 96, 091103(R) (2017); arXiv: 1707.09355 [hep-ex].

  35. A. G. Beda et al., Phys. Part. Nucl. Lett. 10, 139 (2013); arXiv: 1005.2736 [hep-ex].

    Article  Google Scholar 

  36. L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 2: The Classical Theory of Fields (Nauka, Moscow, 1988; Pergamon, Oxford, 1975)

  37. S. B. Popov and M. E. Prokhorov, Tr. GAISh 72 (2003).

  38. A. Yu. Potekhin, Phys. Usp. 53, 1235 (2010).

    Article  ADS  Google Scholar 

  39. R. Turolla et al., Rep. Prog. Phys. 78, 116901 (2015).

    Article  ADS  Google Scholar 

  40. V. M. Kaspi and A. M. Beloborodov, Ann. Rev. Astron. Astrophys. 55, 261 (2017).

    Article  ADS  Google Scholar 

  41. Online McGill Magnetar Ctalogue. http://www.physics.mcgill.ca/pulsar/magnetar/main.html.

  42. H. Nunokawa, V. B. Semikoz, A. Yu. Smirnov, and J. W. F. Valle, Nucl. Phys. B 501, 17 (1997).

    Article  ADS  Google Scholar 

Download references

ACKNOWLEDGMENTS

The authors are grateful to S.I. Blinnikov, A.V. Borisov, A.D. Dolgov, E.M. Murchikova, D.D. Sokolov, V.A. Sokolov, I.P. Volobuev, and V.Ch. Zhukovsky for fruitful discussions.

Funding

The research of A.V.Ch. was supported by the “Basis” Foundation for Development of Theoretical Physics and Mathematics (project no. 19-2-6-100-1).

Author information

Authors and Affiliations

Authors

Corresponding authors

Correspondence to A. E. Lobanov or A. V. Chukhnova.

Additional information

Translated by N. Wadhwa

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Lobanov, A.E., Chukhnova, A.V. Asymmetry of the Propagation of Left-Handed Neutrinos in an Inhomogeneous Magnetic Field. J. Exp. Theor. Phys. 133, 515–523 (2021). https://doi.org/10.1134/S1063776121100034

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063776121100034

Navigation