Article

# Neutrino oscillations and uncertainty relations

(Impact Factor: 2.78). 02/2011; 38(11). DOI: 10.1088/0954-3899/38/11/115002
Source: arXiv

ABSTRACT

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. "
##### Article: Flavor Oscillation from the Two-Point Function
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ABSTRACT: We present a formalism for the flavor oscillation of unstable particles that relies only upon the structure of the time Fourier-transformed two-point Green's function. We derive exact oscillation probability and integrated oscillation probability formulae, and verify that our results reproduce the known results for both neutrino and neutral meson oscillation in the expected regimes of parameter space. The generality of our approach permits us to investigate flavor oscillation in exotic parameter regimes, and present the corresponding oscillation formulae.
Full-text · Article · Mar 2011 · Physical review D: Particles and fields
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##### Article: Cross-sections of long and short baseline neutrino and antineutrino oscillations of which some change the flavor
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ABSTRACT: The Pontecorvo-Maki-Nakagava-Sakata (PMNS) modified electroweak Lagrangian yields, within the perturbative kinematical procedure in the massive neutrino Fock space, in addition to the Lorentz invariant standard model (SM) neutrino and antineutrino cross-sections, also the "infinitesimal" neutrino and antineutrino cross-sections some of which are either conserving or violating the Lorentz symmetry as well as also either conserving or violating the flavor symmetry. Some of these infinitesimal differential cross-sections can be extended into the space oscillation region beyond the collision point. The extension goes along the baseline defined by the flavor neutrino or antineutrino scattering angle. Each of these oscillation differential cross-sections, being sinusoidal, change sign along the baseline; some start positive and some negative at the collision point. For each of them one seeks the baseline distance to the first differential cross-section maximum.
Preview · Article · May 2011
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##### Article: Testing Nonstandard Neutrino Properties with a M\"ossbauer Oscillation Experiment
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ABSTRACT: If the neutrino analogue of the Mössbauer effect, namely, recoiless emission and resonant capture of neutrinos is realized, one can study neutrino oscillations with much shorter baselines and smaller source/detector size when compared to conventional exper-iments. In this work, we discuss the potential of such a Mössbauer neutrino oscillation experiment to probe nonstandard neutrino properties coming from some new physics be-yond the standard model. We investigate four scenarios for such new physics that modify the standard oscillation pattern. We consider the existence of a light sterile neutrino that can mix with ¯ ν e , the existence of a Kaluza-Klein tower of sterile neutrinos that can mix with the flavor neutrinos in a model with large flat extra dimensions, neutrino oscillations with nonstandard quantum decoherence and mass varying neutrinos, and discuss to which extent one can constrain these scenarios. We also discuss the impact of such new physics on the determination of the standard oscillation parameters.
Full-text · Article · Jan 2012 · Journal of High Energy Physics