Study of $K^+ \rightarrow π^{0} e^{+} νγ$ decay with OKA setup
Results of a study of the $K^+ \rightarrow π^{0} e^{+} νγ$ decay at OKA setup are presented. More than 32000 events of this decay are observed. The differential spectra over the photon energy and the photon-electron opening angle in kaon rest frame are presented. The branching ratios, normalized to that of $K_{e3}$ decay are calculated for different cuts in $E^*_γ$ and $cosΘ^{*}_{eγ}$. In particular, the branching ratio for $E^{*}_γ>30$ MeV and $Θ^{*}_{e γ}>20^{\circ}$ is measured R = $\frac{Br(K^+ \rightarrow π^{0} e^{+} ν_{e} γ) } {Br(K^+ \rightarrow π^{0} e^{+} ν_{e})} $ = =(0.587$\pm$0.010($stat.$)$\pm$0.015($syst.$))$\times10^{-2}$, which is in a good agreement with ChPT $O(p^{4})$ calculations.