Study of the process $e^+e^- \to ηπ^0γ$ in the energy range $\sqrt{s} = \mbox{1.05-2.00}$ GeV with the SND detector
The process $e^+e^-\toηπ^0γ$ is studied in the center-of-mass energy range 1.05-2.00 GeV using data with an integrated luminosity of 94.5 pb$^{-1}$ collected by the SND detector at the VEPP-2000 $e^+e^-$ collider. The $e^+e^-\toηπ^0γ$ cross section is measured for the first time. It is shown that the dominant mechanism of this reaction is the transition through the $ωη$ intermediate state. The measured cross section of the subprocess $e^+e^-\toωη\toηπ^0γ$ is consistent with previous measurements in the $e^+e^-\toπ^+π^-π^0η$ mode. It is found, with a significance of 5.6$σ$, that the process $e^+e^-\toηπ^0γ$ is not completely described by hadronic vector-pseudoscalar intermediate states. The cross section of this missing contribution, which can originate from radiation processes, e. g. $e^+e^-\to a_{0}(1450)γ$, is measured. It is found to be 15-20 pb in the wide energy range from 1.3 to 1.9 GeV.