Neutrino oscillations and uncertainty relations

Journal of Physics G Nuclear and Particle Physics (Impact Factor: 2.78). 02/2011; 38(11). DOI: 10.1088/0954-3899/38/11/115002
Source: arXiv


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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Available from: F. von Feilitzsch, Dec 20, 2013
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    • "In particular, flavor oscillation provides the only means to measure the extremely small mass and decay rate splittings among the neutral mesons, and also provides convincing evidence for the existence of non-zero neutrino masses. The theoretical descriptions of flavor oscillation fall into several categories, including the basic plane wave Pontecorvo formalism [1] [2], intermediate [3] [4] [5] [6] [7] [8] [9] [10] [11] [12] and external [13] [14] [15] [16] [17] [18] [19] [20] wavepacket approaches and quantum field theoretic results [21] [22] [23] [24] [25] [26] [27] [28] [29]. Some detailed reviews of these approaches, their underlying assumptions, results and difficulties can be found in Refs. "
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