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Remarks to the standard scheme (theory) of neutrino oscillations. Corrected scheme of neutrino oscillations

  • Physics of Elementary Particles and Atomic Nuclei. Theory
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Abstract

In the standard theory of neutrino oscillations, it is supposed that physically observed neutrino states ν e , νμ, ντ, have no definite masses, that they are initially produced as a mixture of the ν1, ν2, ν3 neutrino states (i.e., they are produced as a wave packet), and that neutrino oscillations are the real ones. Then, this wave packet must decompose at a definite distance into constituent parts and neutrino oscillations must disappear. It was shown that these suppositions lead to violation of the law of energy and momentum conservation. An alternative scheme of neutrino oscillations obtained within the framework of particle physics has been considered, where the above mentioned shortcomings are absent, the oscillations of neutrinos with equal masses are the real ones, and the oscillations of neutrinos with different masses are the virtual ones. Expressions for probabilities of neutrino transitions (oscillations) in the alternative (corrected) scheme are given.

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References

  1. B. M. Pontecorvo, Zh. Eksp. Teor. Fiz. 33, 549 (1957) [Sov. Phys. JETP 6, 429 (1957)]; Zh. Eksp. Teor. Fiz. 34, 247 (1957) [Sov. Phys. JETP 7, 172 (1958)].

    Google Scholar 

  2. Z. Maki et al., Prog. Theor. Phys. 28, 870 (1962).

    Article  MATH  ADS  Google Scholar 

  3. B. M. Pontecorvo, Zh. Eksp. Teor. Fiz. 53, 1717 (1967); [Sov. Phys. JETP 26, 984 (1968)]

    Google Scholar 

  4. S. M. Bilenky and B. M. Pontecorvo, Phys. Rep. C 41, 225 (1978); F. Boehm and P. Vogel, Physics of Massive Neutrinos (Cambridge Univ. Press, Cambridge, 1987), pp. 27, 121; S. M. Bilenky and S. T. Petcov, Rev. Mod. Phys. 59, 631 (1977); V. Gribov and B. M. Pontecorvo, Phys. Lett. B 28, 493 (1969).

    Article  ADS  Google Scholar 

  5. L. I. Schiff, Quantum Mechanics (McRam, London, 1955).

    MATH  Google Scholar 

  6. B. Kayser, Phys. Rev. D 24, 110 (1981); M. Zralik, Acta Phys. Polon. B 28, 2225 (1997).

    Article  ADS  Google Scholar 

  7. S. Schweber, An Introduction to Relativistic Quantum Field Theory (Row, New York, 1961); Ch. Ta-Pei and L. Ling-Fong, Gauge Theory of Elementary Particle Physics (Clarendon Press, Oxford, 1984).

    Google Scholar 

  8. Kh. M. Beshtoev, Part. Nucl. 27, 53 (1996).

    Google Scholar 

  9. Kh. M. Beshtoev, JINR Commun. E2-92-318 (Dubna, 1992); JINR Rapid Commun. No. 3[71] (1995).

  10. J. Kameda, in Proc. of ICRC 2001, Hamburg, Germany, Aug. 2001 (2001), p. 1057; S. Fukuda et al., Phys. Rev. Lett. 25, 5651 (2001); Phys. Lett. B 539, 179 (2002).

  11. Q. R. Ahmad et al., Phys. Rev. Lett. 87, 071301 (2001); Q. R. Ahmad et al., Phys. Rev. Lett. 89, 011301-1 (2002); Phys. Rev. Lett. 89, 011302-1 (2002).

  12. Kh. M. Beshtoev, Hadron. J. 23, 477 (2000); in Proc. of 27th Intern. Cosmic Ray Conf., Hamburg, Germany, Aug. 7–15, 2001 (2001), Vol. 3, p. 1186.

    Google Scholar 

  13. L. Maiani, in Proc. of Intern. Symp. on Lepton-Photon Inter. (DESY, Hamburg, 1977), p. 867.

    Google Scholar 

  14. Kh. M. Beshtoev, JINR Commun. E2-2006-16 (Dubna, 2006).

  15. Kh. M. Beshtoev, JINR Commun. E2-93-297 (Dubna, 1993); JINR Commun. E2-94-46 (Dubna, 1994); Hadron. J. 18, 165 (1995).

  16. J. M. Blatt and V. F. Weiscopff, “The Theory of Nuclear Reactions,” INR T.R. 42.

  17. Kh. M. Beshtoev, JINR Commun. E2-99-307 (Dubna, 1999); JINR Commun. E2-99-306 (Dubna, 1999).

  18. J. J. Sakurai, Currents and Mesons (The Univ. of Chicago Press, Chicago, 1967); Kh. M. Beshtoev, INR of USSR Acad. Sci. P-217 (Moscow, 1981).

    Google Scholar 

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Beshtoev, K.M. Remarks to the standard scheme (theory) of neutrino oscillations. Corrected scheme of neutrino oscillations. Phys. Part. Nuclei Lett. 4, 471–476 (2007). https://doi.org/10.1134/S1547477107060052

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  • DOI: https://doi.org/10.1134/S1547477107060052

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