Abstract

We present a geometrical representation of neutrino oscillations in vacuum and matter in which a propagating neutrino is described by a superposition of mass-eigenstate wave packets (energy-eigenstate wave packets in matter). The effect of the coherence length (that is the distance beyond which the wave packets separate) in the MSW effect is illustrated by using the solar neutrinos as an example. It is shown that, if the coherence length is shorter than the size of the resonance region, non-adiabatic MSW transitions become increasingly adiabatic as the coherence length is decreased.

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