ABSTRACT

Mikheyev and Smirnov have observed that neutrino oscillations in the Sun can be greatly enhanced through the mechanism of Wolfenstein matter oscillations. We develop a qualitative understanding of this phenomenon in the small-mixing-angle limit and carry out extensive calculations in order to apply it to the solar-neutrino problem. Our simple theoretical model agrees remarkably well with the calculations. After determining those values of Δm 2 and sin22θ in the small-mixing-angle limit for which the 8B plus 7Be neutrino capture rate m 37Cl is suppressed by a factor 2—4, we predict the corresponding capture rate for pp plus 7Be neutrinos in 71Ga. The gallium capture rate can range from no reduction to a factor of 10 reduction. We also determine the modified spectrum of 8B neutrinos arriving at Earth and discuss the importance of this spectrum as a means of choosing between oscillations and the solar model as the cause of the solar-neutnno problem, and also as a means of distinguishing between different sets of oscillation parameters.