Scaling-variable distributions in deep-inelastic antineutrino-proton interactions

We present an analysis of scaling-variable distributions in deep-inelastic antineutrino-proton interactions. The data sample of 351 antineutrino-proton and 122 neutrino-proton charged-current events was obtained from exposures of the 15-foot hydrogen bubble chamber to the wide-band antineutrino beam at Fermilab. The methods used to select the muon track and estimate the beam energy for each event are discussed in detail. We observe no energy dependence in the shape of the antineutrino $Y$ distribution; for a mean $\overline{\nu }$ energy of 31 GeV, we measure the shape parameter $B=0.76\mathrm{}\pm 0.11$. The distributions in the scaling variables $X$, $V$, and $W$ are in reasonable agreement with the predictions of the quark-parton model. In addition, we measure the ratio $R_p=\frac{\sigma (\overline{\nu }+p\to {\mu }^{+}+\dots )}{ \sigma (\nu +p\to {\mu }^{-}+\dots )}=0.79\mathrm{}\pm 0.14$, consistent with the value expected for this model.