Neutrino Flux and Total Charged-Current Cross Sections in High-Energy Neutrino-Deuterium Interactions

From 12000 charged-current ${\nu }_{\mu }$ D events obtained in an exposure of the Fermilab 15-ft bubble chamber to a high-energy wide-band neutrino beam, the absolute neutrino flux is determined using the reaction ${\nu }_{\mu }n\to {\mu }^{-}p$. For the total charged-current cross section, ${\sigma }_t=k{E}_{\nu }$, $k=(0.68\mathrm{}\pm 0.04\pm 0.10)\times {10}^{-38\mathrm{}}$ ${\mathrm{cm}}^2$/GeV is obtained for $E_{\nu }$ between 10 and 200 GeV. No clear energy dependence of the slope parameter $k$ is observed.