Solar Mikheyev-Smirnov-Wolfenstein effect with three generations of neutrinos - art. no. 013008

Under the assumption that the density variation of the electrons can be app roximated by an exponential function, the solar Mikheyev-Smirnov-Wolfenstei n effect is treated for three generations of neutrinos. The generalized hyp ergeometric functions that result from the exact solution of this problem a re studied in detail, and a method for their numerical evaluation is presen ted. This analysis plays a central role in the determination of neutrino ma sses, not only the differences of their squares, under the assumption of un iversal quark-lepton mixing.