We present a general study of a three neutrino flavour transition model basedon the supersymmetric interactions which violate R-parity. These interactionsinduce flavour violating scattering reactions between solar matter andneutrinos. The model does not contain any vacuum mass or mixing angle for thefirst generation neutrino. Instead, the effective mixing in the firstgeneration is induced via the new interactions. The model provides a naturalinterpretation of the atmospheric neutrino anomaly, and is consistent withreactor experiments. We determine all R-parity violating couplings which cancontribute to the effective neutrino oscillations, and summarize the presentlaboratory bounds. Independent of the specific nature of the (supersymmetric)flavour violating model, the experimental data on the solar neutrino rates andthe recoil electron energy spectrum are inconsistent with the theoreticalpredictions. The confidence level of the $\chi^2$-analysis ranges between $\sim10^{-4}$ and $\sim 10^{-3}$. The incompatibility, is due to the new SNOresults, and excludes the present model. We conclude that a non-vanishingvacuum mixing angle for the first generation neutrino is necessary in ourmodel. We expect this also to apply to the solutions based on other flavourviolating interactions having constraints of the same order of magnitude.
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