Problems with Atmospheric Neutrino Oscillations

The neutrino oscillation hypothesis does a poor job of representing the atmospheric neutrino anomaly. The anomaly is observed over 4 decades in path length and at least a factor of 30 in energy. This restricts the potential oscillation solutions to those with large amplitudes and mixing mass differences that are ruled out by other observations. The ∆m2 region in the range 10−4−10−2 leads to inconsistencies within the atmospheric neutrino data itself. The observed value of R seems to be incompatible with the ∆m2 implied by recent results Subject headings: Cosmic Rays — Elementary Particles — Neutrino Oscillations Typeset using REVTEX