Search for the scalar $a_0$ and $f_0$ mesons in the reactions $e^+e^-\toγπ^0π^0(η)$

It is shown that the reactions $e^+e^-\to\gamma\pi^0\pi^0(\eta)$ give a good chance for scalar $a_0$ and $f_0$ mesons registration. We showed that in the photon energy region less then 100 MeV the vector meson contributions $e^+e^-\to V^0\to\pi^0 V'^0\to\gamma\pi^0 \pi^0(\eta)$ are negligible in comparison with $e^+e^-\to\phi\to\gamma f_0(a_0)\to\gamma\pi^0\pi^0(\eta)$ scalar meson ones up to $BR(\phi\to\gamma f_0(a_0))\simeq10^{-6}(10^{-5})$. On two-channel treatment of the $\pi\pi$ scattering the predictions for $BR(\phi\to\gamma (f_0+\sigma)\to\gamma\pi\pi)$ are claimed. The four quark model, the model of $K\bar K$ molecule and the $s\bar s$ model of scalar $f_0$ and $a_0$ mesons are discussed.