Atmospheric Neutrino Problem in Maximally-Mixed Three Generations of Neutrinos

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 three neutrinos are maximally mixed. It is shown that the values of ∆m 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 ∆m 31 ≃ 10 eV for the atmospheric neutrinos and ∆m 21 ≃ 10 eV for solar neutrinos in the maximally mixed three-generation scheme. Typeset using REVTEX E-mail address: [email protected]. On leave of absence from The Johns Hopkins University, Baltimore, Maryland 21218, USA. E-mail address: [email protected]. E-mail address: [email protected].