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Atmospheric Neutrino Problem in Maximally-Mixed Three Generations of Neutrinos

C. Giunti·C. W. Kim·J. D. Kim
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Abstract

Motivated by the indication that both the atmospheric and the solar neutrino puzzles may simultaneously be solved by (vacuum as well as matter-induced resonant) oscillations of two generations of neutrinos with large mixing, we have analyzed the data on the atmospheric and solar neutrinos assuming that all {\it three} neutrinos are maximally mixed. It is shown that the values of $ Δm^2 $ obtained from the two-generation analyses are still valid even in the three-generation scheme, i.e. the two puzzles can be solved simultaneously if $ Δm_{31}^2 \simeq 10^{-2} \, \mathrm{eV}^2 $ for the atmospheric neutrinos and $ Δm_{21}^2 \simeq 10^{-10} \, \mathrm{eV}^2 $ for solar neutrinos in the maximally mixed three-generation scheme.

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C. Giunti, C. W. Kim, J. D. Kim. 1995-03-08. Atmospheric Neutrino Problem in Maximally-Mixed Three Generations of Neutrinos. https://doi.org/10.1016/0370-2693(95)00424-j

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