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Maximally-Mixed Three Generations of Neutrinos and the Solar and Atmospheric Neutrino Problems

C. W. Kim·J. A. Lee
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Abstract

Motivated by the indication that both the Solar and the atmospheric 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 Solar and atmospheric neutrinos assuming that all {\it three} neutrinos are maximally mixed. It is shown that the results of two-generation analyses are still valid even in the three-generation scheme, {\it i.e.}, the two puzzles can be solved simultaneously if $Δm_{21}^2 = m_2^2-m_1^2\simeq 10^{-10}\mbox{eV}^2$ and $Δm_{31}^2 = 10^{-3}\sim 10^{-1}\mbox{eV}^2$. We have also demonstrated explicitly that with the use of the see-saw mechanism it is possible to have large or maximal mixings for neutrinos even though their masses are highly non-degenerate.

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C. W. Kim, J. A. Lee. 1993-11-19. Maximally-Mixed Three Generations of Neutrinos and the Solar and Atmospheric Neutrino Problems. https://arxiv.org/abs/hep-ph/9311317

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