Test of Neutrino Oscillations Using Atmospheric Neutrinos

We study the distributions of 135 atmospheric neutrino events collected in 420 days of running in a large, deep underground detector. These events come from neutrinos with path lengths ranging from a few kilometers to over ${10}^4$ kilometers. The average neutrino energy is 920 MeV. No evidence for neutrino oscillations is observed. Flux-independent limits for $\Delta m_{\nu }^2$ in the range of 2.2×${10}^{-5\mathrm{}}$ to 11.2×${10}^{-5\mathrm{}}$ e${\mathrm{V}}^2$ are set for maximum mixing.