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.
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References
C. Giunti and C.W. Kim, Fundamentals of Neutrino Physics and Astrophysics, Oxford University Press, Oxford U.K. (2007).
J.J. Evans, The current status of neutrino mixing, arXiv:1107.3846 [INSPIRE].
S.M. Bilenky and B. Pontecorvo, The quark-lepton analogy and the muonic charge, Sov. J. Nucl. Phys. 24 (1976) 316 [INSPIRE].
S.M. Bilenky and B. Pontecorvo, Again on neutrino oscillations, Lett. Nuovo Cim. 17 (1976) 569 [INSPIRE].
S. Eliezer and A.R. Swift, Experimental consequences of electron neutrino-muon-neutrino mixing in neutrino beams, Nucl. Phys. B 105 (1976) 45 [INSPIRE].
H. Fritzsch and P. Minkowski, Vector-like weak currents, massive neutrinos and neutrino beam oscillations, Phys. Lett. B 62 (1976) 72 [INSPIRE].
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].
S. Mikheev and A.Y. Smirnov, Resonant amplification of neutrino oscillations in matter and solar neutrino spectroscopy, Nuovo Cim. C 9 (1986) 17 [INSPIRE].
L. Wolfenstein, Neutrino oscillations in matter, Phys. Rev. D 17 (1978) 2369 [INSPIRE].
A. Mecozzi and M. Bellini, Superluminal group velocity of neutrinos, arXiv:1110.1253 [INSPIRE].
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].
T.R. Morris, Superluminal group velocity through near-maximal neutrino oscillations, arXiv:1110.2463 [INSPIRE].
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].
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].
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].
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].
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].
H. Minakata and A.Y. Smirnov, Neutrino velocity and neutrino oscillations, Phys. Rev. D 85 (2012) 113006 [arXiv:1202.0953] [INSPIRE].
A.G. Cohen and S.L. Glashow, Pair Creation Constrains Superluminal Neutrino Propagation, Phys. Rev. Lett. 107 (2011) 181803 [arXiv:1109.6562] [INSPIRE].
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Sazdović, B., Vasilić, M. Oscillations of neutrino velocity. J. High Energ. Phys. 2013, 47 (2013). https://doi.org/10.1007/JHEP03(2013)047
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DOI: https://doi.org/10.1007/JHEP03(2013)047