Atmospheric Neutrino Problem in Maximally-Mixed Three Generations of Neutrinos

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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Revtex file, 11 pages + 3 figures (included). The postscript file of text and figures is available at ftp://toxd01.to.infn.i

Scientific paper

10.1016/0370-2693(95)00424-J

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 $ \Delta m^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 $ \Delta m_{31}^2 \simeq 10^{-2} \, \mathrm{eV}^2 $ for the atmospheric neutrinos and $ \Delta m_{21}^2 \simeq 10^{-10} \, \mathrm{eV}^2 $ for solar neutrinos in the maximally mixed three-generation scheme.

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