Coherence in neutrino oscillations

The theory of neutrino oscillations has turned out to be the most reasonable explanation to the observed violations in lepton number conservation of solar and atmospheric neutrino fluxes. A derivation of the most important results of this theory is first given using a plane wave treatment and subseq...

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Main Author: Ilmavirta, Joonas
Other Authors: Matemaattis-luonnontieteellinen tiedekunta, Faculty of Mathematics and Science, Fysiikan laitos, University of Jyväskylä, Jyväskylän yliopisto
Format: Bachelor's thesis
Language:eng
Published: 2011
Subjects:
Online Access: https://jyx.jyu.fi/handle/123456789/40153
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author Ilmavirta, Joonas
author2 Matemaattis-luonnontieteellinen tiedekunta Faculty of Mathematics and Science Fysiikan laitos University of Jyväskylä Jyväskylän yliopisto
author_facet Ilmavirta, Joonas Matemaattis-luonnontieteellinen tiedekunta Faculty of Mathematics and Science Fysiikan laitos University of Jyväskylä Jyväskylän yliopisto Ilmavirta, Joonas Matemaattis-luonnontieteellinen tiedekunta Faculty of Mathematics and Science Fysiikan laitos University of Jyväskylä Jyväskylän yliopisto
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description The theory of neutrino oscillations has turned out to be the most reasonable explanation to the observed violations in lepton number conservation of solar and atmospheric neutrino fluxes. A derivation of the most important results of this theory is first given using a plane wave treatment and subsequently using a three-dimensional shape-independent wave packet approach. Both methods give the same oscillation patterns, but only the latter one serves as a decent starting point for analyzing coherence in neutrino oscillations. A numerical analysis of the oscillation patterns on various distance scales is also given to graphically illustrate the phenomenon of neutrino oscillation and loss of coherence in it. Several coherence conditions related to wave packet separation and the uncertainties of energy and momentum in the mass states produced in a weak charged current reaction are derived. In addition, a new limit is obtained for neutrino flux, beyond which the oscillation pattern may be washed out due to the overlap of the wave packets describing neutrinos originating from different reactions. Whether or not any phenomena will take place in the case of very high flux remains uncertain, because the flux limit is beyond the scope of any modern neutrino experiment.
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spellingShingle Ilmavirta, Joonas Coherence in neutrino oscillations neutrino physics coherence quantum mechanics neutrino oscillations Fysiikka
title Coherence in neutrino oscillations
title_full Coherence in neutrino oscillations
title_fullStr Coherence in neutrino oscillations Coherence in neutrino oscillations
title_full_unstemmed Coherence in neutrino oscillations Coherence in neutrino oscillations
title_short Coherence in neutrino oscillations
title_sort coherence in neutrino oscillations
title_txtP Coherence in neutrino oscillations
topic neutrino physics coherence quantum mechanics neutrino oscillations Fysiikka
topic_facet Fysiikka coherence neutrino oscillations neutrino physics quantum mechanics
url https://jyx.jyu.fi/handle/123456789/40153 http://www.urn.fi/URN:NBN:fi:jyu-201211012840
work_keys_str_mv AT ilmavirtajoonas coherenceinneutrinooscillations