%0 Journal Article %T Problems with Atmospheric Neutrino Oscillations %A J. M. LoSecco %J Physics %D 1998 %I arXiv %X 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 $\Delta m^{2}$ 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 $\Delta m^{2}$ implied by recent results %U http://arxiv.org/abs/hep-ph/9807359v1