Results of a study of the $K^+ \rightarrow \pi^{ 0} e^{ +} \nu \gamma $ 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 $E^*_\gamma$ and $cos\Theta^{ *}_{ e\gamma}$. In particular, the branching ratio for $E^{ *}_{ \gamma}>30$ MeV and $\Theta^{ *}_{ e \gamma}>20^{ \circ}$ is measured R = $\frac{ Br(K^+ \rightarrow \pi^{ 0} e^{ +} \nu_{ e} \gamma) } { Br(K^+ \rightarrow \pi^{ 0} e^{ +} \nu_{ 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.
Categories: hep-ex