On the non-adiabatic neutrino oscillations in matter

Physics

Scientific paper

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Scientific paper

Following the approach of Zener, we obtain an exact expression (in terms of Weber-Hermite functions) for the two-neutrino transition (oscillation) probability in matter with linearly varying density. It takes a simple form when the resonance density differs considerably from the initial and final densities. The conditions under which the approximate expression for the probability derived in the latter case can be used for the description of the neutrino transitions in the interior of the Sun are also briefly discussed.

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