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The nonresonant mechanism in the reactions $e^+\,e^-\to \pi^-\,p\,\bar{n}$and $e^+\,e^-\to \pi^+\,n\,\bar{p}$ is investigated in frame of the one-photonexchange approximation. The description of the hadronic phase space and theinvariant amplitude formalism, earlier developed for the neutral pion channel,are applied here. Some modifications are required to fulfill the invariance andto account for an additional contribution due to diagram with the pion pole.Two different variants which lead to dipole and monopole asymptotic behaviourof the pion electromagnetic form factor, are considered. The double and singledistributions over the invariant variables as well the total cross section, areobtained. The results are plotted for $s=$5,\,6,\,10,\,16\, GeV$^2$. Thecalculations are performed for the $\pi^-\,p\,\bar{n}$ channel and the rules toproceed to the $\pi^+\,n\,\bar{p}$ channel are formulated for everydistribution.

Charged pion production in the annihilation reactions $e^+ + e^- \to p + \bar{n} +\pi^-$ and $e^+ + e^- \to n + \bar{p} +\pi^+$