Oscillations of neutrino velocity

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 loose 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.

17 pages, 5 figures

References in corpus (6)

• Measurement of the neutrino velocity with the OPERA detector in the CNGS beam
• New Constraints on Neutrino Velocities
• Measurement of the neutrino velocity with the ICARUS detector at the CNGS beam
• Superluminal group velocity through near-maximal neutrino oscillations
• Off-shell OPERA neutrinos
• Group velocity of neutrino waves

Cited by in corpus (2)

• Calculation of the Decay Rate of Tachyonic Neutrinos against Charged-Lepton-Pair and Neutrino-Pair Cerenkov Radiation
• Evanescent Waves and Superluminal Behavior of Matter