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Description
The cross section $ e^+e^- \to \omega\pi^0 \to \pi^+\pi^-2\pi^0 $ is measured in 1 - 2 GeV c. m. energy range using statistics collected by SND detector installed on VEPP-2000 collider in experiments MHAD2011 and MHAD2012 with integrated luminosity $35\text{ pb}^{-1}$. The measured cross section is in the agreement with previous measurements but has better accuracy. $\gamma^*\omega\pi^0$ form factor is calculated from the obtained cross section and approximated using several variants of the vector meson dominance model. It is found that the model is not able to describe the form factor with sufficient accuracy in the studied energy range. The data of NA60 experiment show a noticeably faster growth of the form factor as the c. m. energy approaches the $\rho$-meson in comparison with model predictions.