Level crossings in solar-neutrino oscillations

We quantitatively analyze a recently discovered mechanism for the conversion of νₑ into ν_μ from propagation in matter. We derive an approximate analytic solution for adiabatic propagation to calculate solar-neutrino capture rates of ³⁷Cl and ⁷¹Ga detectors. We use standard solar-model results of the electron density, the neutrino source distribution, and the neutrino-energy spectra. We obtain the implied constraints on oscillation parameters from the ³⁷Cl experiment.