arXiv2019
The antineutrino scattering channel $\barν_μ \,\text{CH} \rightarrow μ^{+} \,π^{-} \,X$(nucleon(s)) is analyzed in the incident energy range 1.5 to 10 GeV using the MINERvA detector at Fermilab. Differential cross sections are reported as functions of $μ^{+}$ momentum and production angle, $π^{-}$ kinetic energy and production angle, and antineutrino energy and squared four-momentum transfer. Distribution shapes are generally reproduced by simulations based on the GENIE, NuWro, and GiBUU event generators, however GENIE (GiBUU) overestimates (underestimates) the cross-section normalizations by 8% (10%). Comparisons of data with the GENIE-based reference simulation probe conventional treatments of cross sections and pion intranuclear rescattering. The distribution of non-track vertex energy is used to decompose the signal sample into reaction categories, and cross sections are determined for the exclusive reactions $μ^{+} π^{-} n$ and $ μ^+ π^{-} p$. A similar treatment applied to the published MINERvA sample $\barν_μ \,\text{CH} \rightarrow μ^{+} \,π^{0} \,X$(nucleon(s)) has determined the $μ^{+} π^{0} n$ cross section, and the latter is used with $σ(π^{-} n)$ and $σ(π^{-} p)$ to carry out an isospin decomposition of $\barν_μ$-induced CC($π$). The ratio of magnitudes and relative phase for isospin amplitudes $A_{3}$ and $A_{1}$ thereby obtained are: $R^{\barν} = 0.99 \pm 0.19$ and $ϕ^{\barν} = 93^{\circ} \pm 7^{\circ}$. Our results are in agreement with bubble chamber measurements made four decades ago.