Measurement of inclusive<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi>π</mml:mi><mml:mn>0</mml:mn></mml:msup></mml:math>production in the charged-current interactions of neutrinos in a 1.3-GeV wide band beam

In this paper, we report on the measurement of the rate of inclusive ${\ensuremath{\pi}}^{0}$ production induced by charged-current neutrino interactions in a ${\mathrm{C}}_{8}{\mathrm{H}}_{8}$ target at a mean energy of 1.3 GeV in the K2K near detector. Out of a sample of 11 606 charged-current neutrino interactions, we select 479 ${\ensuremath{\pi}}^{0}$ events with two reconstructed photons. We find that the cross section for the inclusive ${\ensuremath{\pi}}^{0}$ production relative to the charged-current quasielastic cross section is $\frac{{\ensuremath{\sigma}}_{\mathrm{CC}{\ensuremath{\pi}}^{0}}}{{\ensuremath{\sigma}}_{\mathrm{CCQE}}}=0.426\ifmmode\pm\else\textpm\fi{}0.032\text{ }(\mathrm{stat})\ifmmode\pm\else\textpm\fi{}0.035\text{ }(\mathrm{syst})$. The energy-dependent cross section ratio is also measured. The results are consistent with previous experiments for exclusive channels on different targets.