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Adiabatic matter effect with three generation neutrinos and the solar neutrino problem

M. M. Guzzo·O. L. G. Peres·V. Pleitez·R. Zukanovich Funchal
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Abstract

We find an exact analytic solution for the time evolution of a three Dirac neutrino system adiabatically oscillating in matter, constructing explicitly the relevant $3\times 3$ mixing matrix in matter. Using this result we investigate the solar neutrino data in a scenario where the neutrino masses are such that $m_1\alt m_2\ll m_3$, taking into account several phenomenological constraints on neutrino mixing angles and masses. A solution of the solar neutrino problem for large values of the parameter $δm^2=m_2^2-m_1^2$ which are not usually associated with a resonance is found. This is an essentially three-generation effect.

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M. M. Guzzo, O. L. G. Peres, V. Pleitez, R. Zukanovich Funchal. 1994-12-20. Adiabatic matter effect with three generation neutrinos and the solar neutrino problem. https://arxiv.org/abs/hep-ph/9412331

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