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Spin-flavor oscillations of neutrinos in rapidly varying external fields

  • Elementary Particles and Fields
  • Theory
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Abstract

Spin-flavor oscillations of neutrinos in rapidly varying external fields are studied. A method for describing neutrino oscillations in arbitrary rapidly varying external fields is developed. An effective Hamiltonian that describes the evolution of the averaged neutrino wave function is obtained. Neutrino oscillations in rapidly varying magnetic fields are considered on the basis of the general formalism developed in this study. Neutrino transitions in a superposition of a constant and a rotating (in space) magnetic field that are transverse with respect to the neutrino velocity are studied. The probabilities of transitions in spin-flavor oscillations of neutrinos in the magnetic fields of the Sun are estimated. Numerical solutions to the Schrödinger equation for the Hamiltonian that describes neutrino interaction with a constant and a rotating (in space) magnetic field are given. It is shown that the approximate analytic formula obtained in the present study for the probability of neutrino transitions is consistent with the respective numerical solution to the evolution equation at high frequencies of the rotating magnetic fields.

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References

  1. B. M. Pontekorvo, Zh. Éksp. Teor. Fiz. 34, 247 (1958) [Sov. Phys. JETP 7, 172 (1958)].

    Google Scholar 

  2. S. N. Ahmed et al., Phys. Rev. Lett. 92, 181301 (2004); nucl-ex/0309004.

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

    Article  ADS  Google Scholar 

  4. S. P. Mikheev and A. Yu. Smirnov, Yad. Fiz. 42, 1441 (1985) [Sov. J. Nucl. Phys. 42, 913 (1985)].

    Google Scholar 

  5. C. Lim and W. J. Marciano, Phys. Rev. D 37, 1368 (1988).

    Article  ADS  Google Scholar 

  6. E. Kh. Akhmedov, Phys. Lett. B 213, 64 (1988).

    Article  ADS  Google Scholar 

  7. A. Yu. Smirnov, Phys. Lett. B 260, 161 (1991).

    Article  ADS  Google Scholar 

  8. E. Kh. Akhmedov, S. T. Petcov, and A. Yu. Smirnov, Phys. Rev. D 48, 2167 (1993); hep-ph/9301211.

    Article  ADS  Google Scholar 

  9. G. G. Likhachev and A. I. Studenikin, Zh. Éksp. Teor. Fiz. 108, 769 (1995) [JETP 81, 419 (1995)].

    Google Scholar 

  10. B. C. Chauhan and J. Pulido, J. High Energy Phys. 0406, 008 (2004); hep-ph/0402194.

    Article  ADS  Google Scholar 

  11. E. Kh. Akhmedov and J. Pulido, Phys. Lett. B 553, 7 (2003); hep-ph/0209192.

    Article  ADS  Google Scholar 

  12. S. K. Kang and C. S. Kim, Phys. Lett. B 584, 98 (2004); hep-ph/0403059.

    Article  ADS  Google Scholar 

  13. J. Barranco, O. Miranda, T. Rashba, et al., Phys. Rev. D 66, 093009 (2002); hep-ph/0207326.

  14. S. Couvidat, S. Turck-Chieze, and A. G. Kosovichev, astro-ph/0203107.

  15. A. Egorov, A. Lobanov, and A. Studenikin, Phys. Lett. B 491, 137 (2000); hep-ph/9910476.

    Article  ADS  Google Scholar 

  16. M. S. Dvornikov and A. I. Studenikin, Yad. Fiz. 64, 1705 (2001) [Phys. At. Nucl. 64, 1624 (2001)].

    Google Scholar 

  17. M. S. Dvornikov and A. I. Studenikin, Yad. Fiz. 67, 741 (2004) [Phys. At. Nucl. 67, 719 (2004)].

    Google Scholar 

  18. P. M. Fishbane and S. G. Gasiorowicz, Phys. Rev. D 64, 113017 (2001); hep-ph/0012230.

  19. M. Dvornikov and A. Studenikin, J. High Energy Phys. 0209, 016 (2002); hep-ph/0202113.

    Article  ADS  Google Scholar 

  20. M. Dvornikov, A. Grigoriev, and A. Studenikin, Int. J. Mod. Phys. D 14, 309 (2005); hep-ph/0406114.

    Article  MATH  ADS  Google Scholar 

  21. P. L. Kapitsa, Usp. Fiz. Nauk 44, 7 (1951).

    Google Scholar 

  22. S. Weinberg, Int. J. Mod. Phys. A 2, 301 (1987).

    Article  ADS  Google Scholar 

  23. Review of Particle Physics (S. Eidelman et al.), Phys. Lett. B 592, 1 (2004).

    Article  ADS  Google Scholar 

  24. A. F. Alexandrov, L. S. Bogdankevich, and A. A. Rukhadze, Principles of Plasma Electrodynamics (Vysshaya Shkola, Moscow, 1978; Springer-Verlag, Berlin, 1984), p. 105.

    Google Scholar 

  25. C. P. Burgess, N. S. Dzhalilov, T. I. Rashba, et al., Mon. Not. R. Astron. Soc. 348, 609 (2004); astro-ph/0304462.

    Article  ADS  Google Scholar 

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Original Russian Text © M.S. Dvornikov, 2007, published in Yadernaya Fizika, 2007, Vol. 70, No. 2, pp. 369–376.

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Dvornikov, M.S. Spin-flavor oscillations of neutrinos in rapidly varying external fields. Phys. Atom. Nuclei 70, 342–348 (2007). https://doi.org/10.1134/S1063778807020159

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  • DOI: https://doi.org/10.1134/S1063778807020159

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