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Polyakov, V.A. Uvarov, V.D. Samoilenko, V.F. Kurshetsov, V.F. Obraztsov, V.I. Kravtsov, V.I. Romanovsky, V.I. Rykalin, V.K. Semenov, V.M. Lysan, V.N. Bychkov, V.N. Kolosov, V.S. Burtovoy, Yu.G. Kudenko, Yu.V. Mikhailov","submitted_at":"2018-08-28T08:52:19Z","abstract_excerpt":"A high statistics data sample of the decays of $K^+$ mesons to three charged particles was accumulated by the OKA experiment in 2012 and 2013. This allowed to select a clean sample of about 450 events with $K^{+}\\to\\pi^{+}\\pi^{-}\\pi^{+}\\gamma$ decays with the energy of the photon in the kaon rest frame greater than 30 MeV. The measured branching fraction of the $K^{+}\\to\\pi^{+}\\pi^{-}\\pi^{+}\\gamma$, with $E_{\\gamma}^{*}$ > 30 MeV is $(0.71 \\pm 0.05) \\times 10^{-5}$. 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