Neutrino production coherence and oscillation experiments View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2012-04

AUTHORS

E. K. Akhmedov, D. Hernandez, A. Y. Smirnov

ABSTRACT

Neutrino oscillations are only observable when the neutrino production, propagation and detection coherence conditions are satisfied. In this paper we consider in detail neutrino production coherence, taking π → μν decay as an example. We compare the oscillation probabilities obtained in two different ways: (1) coherent summation of the amplitudes of neutrino production at different points along the trajectory of the parent pion; (2) averaging of the standard oscillation probability over the neutrino production coordinate in the source. We demonstrate that the results of these two different approaches exactly coincide, provided that the parent pion is considered as pointlike and the detection process is perfectly localized. In this case the standard averaging of the oscillation probability over the finite spatial extensions of the neutrino source (and detector) properly takes possible decoherence effects into account. We analyze the reason for this equivalence of the two approaches and demonstrate that for pion wave packets of finite width σxπ the equivalence is broken. The leading order correction to the oscillation probability due to σxπ ≠ 0 is shown to be ~ [vg/(vg−vπ )]σxπ/losc, where vg and vπ are the group velocities of the neutrino and pion wave packets, and losc is the neutrino oscillation length. More... »

PAGES

52

References to SciGraph publications

  • 2002-11-07. Neutrino Wave Packets in Quantum Field Theory in JOURNAL OF HIGH ENERGY PHYSICS
  • 2010-04. Neutrino oscillations: quantum mechanics vs. quantum field theory in JOURNAL OF HIGH ENERGY PHYSICS
  • 2010-01. Constraining sterile neutrinos with a low energy beta-beam in JOURNAL OF HIGH ENERGY PHYSICS
  • 2009-08. Paradoxes of neutrino oscillations in PHYSICS OF ATOMIC NUCLEI
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/jhep04(2012)052

    DOI

    http://dx.doi.org/10.1007/jhep04(2012)052

    DIMENSIONS

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