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

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

1994-12-20

arxiv.org/abs/hep-ph/9412331v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, Revtex 3.0, two ps figures appended

Scientific paper

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 $\delta m^2=m_2^2-m_1^2$ which are not usually associated with a resonance is found. This is an essentially three-generation effect.

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