Search for the scalar a0 and f0 mesons in the reactions e+e--->γπ0π0(η)

It is shown that the reactions e⁺e^--->γπ⁰π⁰(η) give a good chance for observing the scalar a₀ and f₀ mesons. In the photon energy region less than 100 MeV the vector meson contributions e⁺e^--->V⁰-->π⁰V^'0-->γπ⁰π⁰(η) are negligible in comparison with the scalar meson e⁺e^--->φ -->γf₀(a₀)-->γπ⁰π⁰(η) for B(φ-->γf₀(a₀)-->γπ⁰π⁰(η)) greater than 5×10^-6 (10^-5). Using the two-channel treatment of the ππ scattering the predictions for B(φ-->γ(f₀+σ)-->γππ) are derived. The four-quark model, the model of the KK¯ molecule, and the ss¯ model of scalar f₀ and a₀ mesons are discussed.