One pion events by atmospheric neutrinos: A three flavor analysis

We study the one-pion events produced via neutral current (NC) and charged current (CC) interactions by the atmospheric neutrinos. We analyze the ratios of these events in the framework of oscillations between three neutrino flavors. The ratios of the CC events induced by ${\nu }_e$ to that of the NC events and a similar ratio defined with ${\nu }_{\mu }$ help us in distinguishing the different regions of the neutrino parameter space.