We report measurements of the flux-integrated ν̅μ and ν̅μ + νμ charged-current cross-sections on water and hydrocarbon targets using the T2K anti-neutrino beam with a mean beam energy of 0.86 GeV. The signal is defined as the (anti-)neutrino charged-current interaction with one induced $\mu^\pm$ and no detected charged pion or proton. These measurements are performed using a new WAGASCI module recently added to the T2K setup in combination with the INGRID Proton Module. The phase space of muons is restricted to the high-detection efficiency region, $p_{\mu}>400~{\rm MeV}/c$ and $\theta_{\mu}<30^{\circ}$, in the laboratory frame. An absence of pions and protons in the detectable phase spaces of $p_{\pi}>200~{\rm MeV}/c$, $\theta_{\pi}<70^{\circ}$ and $p_{\rm p}>600~{\rm MeV}/c$, $\theta_{\rm p}<70^{\circ}$ is required. In this paper, both the $\overline{\nu}_\mu$ cross-sections and $\overline{\nu}_\mu+\nu_\mu$ cross-sections on water and hydrocarbon targets and their ratios are provided by using the D’Agostini unfolding method. The results of the integrated $\overline{\nu}_\mu$ cross-section measurements over this phase space are $\sigma_{\rm H_{2}O}=(1.082\pm0.068(\rm stat.)^{+0.145}_{-0.128}(\rm syst.)) \times 10^{-39}\,{\rm cm^{2} / nucleon}$, $\sigma_{\rm CH}=(1.096\pm0.054(\rm stat.)^{+0.132}_{-0.117}(\rm syst.)) \times 10^{-39}\,{\rm cm^{2} / nucleon}$, and $\sigma_{\rm H_{2}O}/\sigma_{\rm CH} = 0.987\pm0.078(\rm stat.)^{+0.093}_{-0.090}(\rm syst.)$. The $\overline{\nu}_\mu+\nu_\mu$ cross-section is $\sigma_{\rm H_{2}O} = (1.155\pm0.064(\rm stat.)^{+0.148}_{-0.129}(\rm syst.)) \times 10^{-39}\,{\rm cm^{2} / nucleon}$, $\sigma_{\rm CH}=(1.159\pm0.049(\rm stat.)^{+0.129}_{-0.115}(\rm syst.)) \times 10^{-39}\,{\rm cm^{2} / nucleon}$, and $\sigma_{\rm H_{2}O}/\sigma_{\rm CH}=0.996\pm0.069(\rm stat.)^{+0.083}_{-0.078}(\rm syst.)$.

中文翻译：

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测量 ν̅ μ 和 ν̅ μ + ν μ 充电电流横截面，在水和碳氢化合物上没有检测到介子或质子，平均反中微子能量为 0.86 GeV

我们报告了使用平均束能量为 0.86 GeV 的 T2K 反中微子束对水和碳氢化合物目标的通量积分 ν̅μ 和 ν̅μ + νμ 带电电流截面的测量。该信号被定义为（反）中微子带电电流与一个感应 $\mu^\pm$ 的相互作用，并且没有检测到带电介子或质子。这些测量是使用最近添加到 T2K 设置中的新 WAGASCI 模块与 INGRID 质子模块一起执行的。μ子的相空间被限制在高探测效率区域，$p_{\mu}>400~{\rm MeV}/c$和$\theta_{\mu}<30^{\circ}$ ，在实验室框架中。在 $p_{\pi}>200~{\rm MeV}/c$、$\theta_{\pi}<70^{\circ}$ 和 $p_ 的可检测相空间中没有介子和质子{\rm p}>600~{\rm MeV}/c$, $\theta_{\rm p}< 需要 70^{\circ}$。在本文中，水和油气目标的 $\overline{\nu}_\mu$ 截面和 $\overline{\nu}_\mu+\nu_\mu$ 截面及其比率由下式提供使用 D'Agostini 展开方法。在此相空间上积分 $\overline{\nu}_\mu$ 横截面测量的结果是 $\sigma_{\rm H_{2}O}=(1.082\pm0.068(\rm stat.) ^{+0.145}_{-0.128}(\rm syst.)) \times 10^{-39}\,{\rm cm^{2} / nucleon}$, $\sigma_{\rm CH}=( 1.096\pm0.054(\rm stat.)^{+0.132}_{-0.117}(\rm syst.)) \times 10^{-39}\,{\rm cm^{2} / nucleon}$ , 和 $\sigma_{\rm H_{2}O}/\sigma_{\rm CH} = 0.987\pm0.078(\rm stat.)^{+0.093}_{-0.090}(\rm syst.)美元。$\overline{\nu}_\mu+\nu_\mu$ 截面为 $\sigma_{\rm H_{2}O} = (1.155\pm0.064(\rm stat.)^{+0.148} _{-0.129}(\rm syst.)) \times 10^{-39}\,{\rm cm^{2} / nucleon}$,