ABSTRACT

Analytic results are presented for the probability of detecting an electron neutrino after passage through a resonant oscillation region. If the electron neutrino is produced far above the resonance density, this probability is simply given by 〈Pve 〉 ≈ sin2 θ 0 + Px cos2θ 0, where θ 0 is the vacuum mixing angle. The probability is averaged over the production as well as the detection positions of the neutrino and Px is the Landau-Zener transition probability between adiabatic states. Finally, this result is applied to resonance oscillations within the solar interior.