Quasielastic and inelastic neutrino reactions in ¹²C at K2K energies

In this paper, we present the results of a study made for the effect of nuclear medium in the charged current induced quasielastic lepton production(CCQE) and the incoherent and coherent one pion production (CC1$\pi^+$)processes from $^{12}C$ in the $\nu_\mu$ energy region of 0.4-3GeV. The theoretical results are compared with the recent experimental results for the ratio of charged current $\nu_\mu$ induced one pion production cross section to the quasielastic lepton production cross section reported by K2K collaboration. We also present the results for the angular and momentum distributions of leptons and pions produced in these processes.