Time-Energy Uncertainty Relations for Neutrino Oscillation and MÖssbauer Neutrino Experiment

Details Time-Energy Uncertainty Relations for Neutrino Oscillation and MÖssbauer Neutrino Experiment Time-Energy Uncertainty Relations for Neutrino Oscillation and MÖssbauer Neutrino Experiment

2008-03-04

arxiv.org/abs/0803.0527v2

J.Phys.G35:095003,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

Scientific paper

10.1088/0954-3899/35/9/095003

Using the Mandelstam-Tamm method we derive time-energy uncertainty relations for neutrino oscillations. We demonstrate that the small energy uncertainty of antineutrinos in a recently considered experiment with recoilless resonant (M\"ossbauer) production and absorption of tritium antineutrinos is in conflict with the energy uncertainty which, according to the time-energy uncertainty relation, is necessary for neutrino oscillations to happen. A M\"ossbauer neutrino experiment could provide a unique possibility to test the applicability of the time-energy uncertainty relation to neutrino oscillations and to reveal the true nature of neutrino oscillations.

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