A Test of $\numunux$ Oscillations and determination of the $\Delta m^2$ parameter of Atmospheric Neutrinos using the $L/E$ method

We point out that the measurement of the $L/E$ distribution of atmospheric neutrino events with sufficient resolution in order to observe the characteristic modulations of neutrino oscillations would provide a unique way to test the $\numunux$ oscillations nature of the atmospheric neutrino anomaly in the parameter range $5\times 10^{-4} 5\rm GeV$). A large magnetized calorimeter of several kilotons would be ideally suited for this measurement. The existing LEP detectors augmented with atmospheric neutrino triggers could also be used to perform such a study.