Cross Section Measurements of $\bar{n}p \rightarrow K^{+}K^{-}\pi^{+}(\pi^{0})$ via Antineutrons Produced by $J/\psi \to p \pi^{-} \bar{n}$ Decays

Based on a novel method for producing antineutrons via $J/\psi$ decays, we report a study of $\bar{n}p$ inelastic scattering into final states containing kaons. The analysis uses $(10087\pm44)\times 10^6$ $J/\psi$ events collected at the BESIII detector operating at the BEPCII storage ring. Antineutrons are produced via $J/\psi \to p \pi^{-} \bar{n}$ decays and tagged by the detected protons and pions, resulting in antineutron momenta ranging from 0 to 1174~MeV/$c$, while target protons are provided by the hydrogen in the beam-pipe material. The cross sections of the reactions $\bar{n}p \rightarrow K^{+}K^{-}\pi^{+}$ and $\bar{n}p \rightarrow K^{+}K^{-}\pi^{+}\pi^{0}$ are measured to be $0.53^{+0.15}_{-0.12} \pm 0.08$~mb and $1.09^{+0.36}_{-0.30} \pm 0.31$~mb respectively, where the first uncertainties are statistical and the second systematic. Due to limited statistics, the intermediate states in these processes are not investigated. The observation of clean antineutron-proton scattering events indicates the potential of this approach for future investigations of antineutron-proton interactions.