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Single charged pion production in charged-current muon neutrino interactionswith carbon is studied using data collected in the K2K long-baseline neutrinoexperiment. The mean energy of the incident muon neutrinos is 1.3 GeV. The dataused in this analysis are mainly from a fully active scintillator detector,SciBar. The cross section for single $\pi^{+}$ production in the resonanceregion ($W<2$ GeV/$c^2$) relative to the charged-current quasi-elastic crosssection is found to be 0.734 $^{+0.140}_{-0.153}$. The energy-dependent crosssection ratio is also measured. The results are consistent with a previousexperiment and the prediction of our model.

Measurement of single charged pion production in the charged-current interactions of neutrinos in a 1.3 GeV wide band beam