Advertisement

Oscillations of neutrino velocity

  • Branislav Sazdović
  • Milovan Vasilić
Article

Abstract

In this paper, we consider the problem of quantum measurement of neutrino velocity. We show, that the well known neutrino flavor oscillations are always accompanied by the oscillations of neutrino velocity. In particular, the velocity of a freely moving neutrino is demonstrated to periodically exceed the speed of light. Unfortunately, the superluminal effect turns out to be too small to be experimentally detected. It is also shown that neutrino velocity significantly depends on the energy, size and shape of the neutrino wave packet. Owing to the big experimental error of the recent experiments, these dependences remained unnoticeable. Finally, we have shown that the recent claims that superluminal neutrinos should lose energy during their flight is not true. Instead, our formula suggests the approximate conservation of energy along neutrino trajectory. All these results have been obtained without violation of special theory of relativity.

Keywords

Neutrino Physics Beyond Standard Model 

References

  1. [1]
    C. Giunti and C.W. Kim, Fundamentals of Neutrino Physics and Astrophysics, Oxford University Press, Oxford U.K. (2007).CrossRefGoogle Scholar
  2. [2]
    J.J. Evans, The current status of neutrino mixing, arXiv:1107.3846 [INSPIRE].
  3. [3]
    S.M. Bilenky and B. Pontecorvo, The quark-lepton analogy and the muonic charge, Sov. J. Nucl. Phys. 24 (1976) 316 [INSPIRE].Google Scholar
  4. [4]
    S.M. Bilenky and B. Pontecorvo, Again on neutrino oscillations, Lett. Nuovo Cim. 17 (1976) 569 [INSPIRE].CrossRefGoogle Scholar
  5. [5]
    S. Eliezer and A.R. Swift, Experimental consequences of electron neutrino-muon-neutrino mixing in neutrino beams, Nucl. Phys. B 105 (1976) 45 [INSPIRE].ADSCrossRefGoogle Scholar
  6. [6]
    H. Fritzsch and P. Minkowski, Vector-like weak currents, massive neutrinos and neutrino beam oscillations, Phys. Lett. B 62 (1976) 72 [INSPIRE].ADSGoogle Scholar
  7. [7]
    S. Mikheev and A.Y. Smirnov, Resonance amplification of oscillations in matter and spectroscopy of solar neutrinos, Sov. J. Nucl. Phys. 42 (1985) 913 [INSPIRE].Google Scholar
  8. [8]
    S. Mikheev and A.Y. Smirnov, Resonant amplification of neutrino oscillations in matter and solar neutrino spectroscopy, Nuovo Cim. C 9 (1986) 17 [INSPIRE].ADSGoogle Scholar
  9. [9]
    L. Wolfenstein, Neutrino oscillations in matter, Phys. Rev. D 17 (1978) 2369 [INSPIRE].ADSGoogle Scholar
  10. [10]
    A. Mecozzi and M. Bellini, Superluminal group velocity of neutrinos, arXiv:1110.1253 [INSPIRE].
  11. [11]
    D. Indumathi, R.K. Kaul, M. Murthy and G. Rajasekaran, Group velocity of neutrino waves, Phys. Lett. B 709 (2012) 413 [arXiv:1110.5453] [INSPIRE].ADSGoogle Scholar
  12. [12]
    T.R. Morris, Superluminal group velocity through near-maximal neutrino oscillations, arXiv:1110.2463 [INSPIRE].
  13. [13]
    T.R. Morris, Superluminal velocity through near-maximal neutrino oscillations or by being off shell, J. Phys. G 39 (2012) 045010 [arXiv:1110.3266] [INSPIRE].ADSGoogle Scholar
  14. [14]
    M. Berry, N. Brunner, S. Popescu and P. Shukla, Can apparent superluminal neutrino speeds be explained as a quantum weak measurement?, J. Phys. A 44 (2011) 492001 [arXiv:1110.2832] [INSPIRE].MathSciNetGoogle Scholar
  15. [15]
    MINOS collaboration, P. Adamson et al., Measurement of neutrino velocity with the MINOS detectors and NuMI neutrino beam, Phys. Rev. D 76 (2007) 072005 [arXiv:0706.0437] [INSPIRE].ADSGoogle Scholar
  16. [16]
    ICARUS collaboration, M. Antonello et al., Measurement of the neutrino velocity with the ICARUS detector at the CNGS beam, Phys. Lett. B 713 (2012) 17 [arXiv:1203.3433] [INSPIRE].ADSGoogle Scholar
  17. [17]
    OPERA collaboration, T. Adam et al., Measurement of the neutrino velocity with the OPERA detector in the CNGS beam, JHEP 10 (2012) 093 [arXiv:1109.4897] [INSPIRE].ADSCrossRefGoogle Scholar
  18. [18]
    H. Minakata and A.Y. Smirnov, Neutrino velocity and neutrino oscillations, Phys. Rev. D 85 (2012) 113006 [arXiv:1202.0953] [INSPIRE].ADSGoogle Scholar
  19. [19]
    A.G. Cohen and S.L. Glashow, Pair Creation Constrains Superluminal Neutrino Propagation, Phys. Rev. Lett. 107 (2011) 181803 [arXiv:1109.6562] [INSPIRE].ADSCrossRefGoogle Scholar

Copyright information

© SISSA, Trieste, Italy 2013

Authors and Affiliations

  1. 1.Institute of PhysicsUniversity of BelgradeBelgradeSerbia

Personalised recommendations