Neutrino oscillations and uncertainty relations

Details Neutrino oscillations and uncertainty relations Neutrino oscillations and uncertainty relations

2011-02-14

arxiv.org/abs/1102.2770v2

J. Phys. G: Nucl. Part. Phys. 38 (2011) 115002

Physics

High Energy Physics

High Energy Physics - Phenomenology

Some small changes in section 2, results unchanged. Added reference

Scientific paper

We show that coherent flavor neutrino states are produced (and detected) due to the momentum-coordinate Heisenberg uncertainty relation. The Mandelstam-Tamm time-energy uncertainty relation requires non-stationary neutrino states for oscillations to happen and determines the time interval (propagation length) which is necessary for that. We compare different approaches to neutrino oscillations which are based on different physical assumptions but lead to the same expression for the neutrino transition probability in standard neutrino oscillation experiments. We show that a Moessbauer neutrino experiment could allow to distinguish different approaches and we present arguments in favor of the 163Ho-163Dy system for such an experiment.

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