Total cross sections for ${\nu }_{\mu }n$ and ${\nu }_{\mu }p$ charged-current interactions in the 7-foot bubble chamber

The total cross sections for ${\nu }_{\mu }n$ and ${\nu }_{\mu }p$ charged-current interactions and their ratio $R=\frac{{\sigma }_T\left(\nu n\right)}{{\sigma }_T\left(\nu p\right)}$ have been measured as a function of neutrino energy from 0.4 to 10 GeV. The experiment is performed using the BNL 7-foot deuterium bubble chamber exposed to the Alternating Gradient Synchrotron wide-band neutrino beam. The absolute values of the cross sections are normalized to the quasielastic scattering (${\nu }_{\mu }n\to {\mu }^{-}p$) cross section. Above 1.6 GeV the data are consistent with the quark-parton model. We find that $\frac{{\sigma }_T\left(\nu n\right)}{E_{\nu }}=(1.07\mathrm{}\pm 0.05)\times {10}^{-38\mathrm{}}$, $\frac{{\sigma }_T\left(\nu p\right)}{E_{\nu }}=(0.54\mathrm{}\pm 0.04)\times {10}^{-38\mathrm{}}$, and $\frac{{\sigma }_T\left(\nu N\right)}{E_{\nu }}=(0.80\mathrm{}\pm 0.03)\times {10}^{-38\mathrm{}}$ ${\mathrm{cm}}^2$/GeV for $〈E_{\nu }〉=3.2\mathrm{}$ GeV, and $R=1.95\mathrm{}\pm 0.10$ for $〈E_{\nu }〉=3.7\mathrm{}$ GeV.