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Comparative study of the production of scalar and tensor mesons in $e^+e^-$ collisions

The intensity of scalar $a_0(980)$, $f_0(980)$ and tensor $a_2(1320)$, $f_2(1270)$ mesons production at VEPP-2000 (BINP, Novosibirsk) and the upgraded DA$Φ$NE (Frascati, Italy) in the processes $e^+e^- \to a_0 (f_0$, $a_2$, $f_2) γ$ is calculated. The calculation was made with the help of VDM and the kaon loop model (for scalar mesons case). Note that the processes $e^+e^-\to a_2(f_2)γ$ have not been studied in the energy region of VEPP-2000. It turned out that in the VEPP-2000 energy region $1.7-2.0$ GeV $σ(e^+e^-\to a_2(f_2)γ)\sim 10$ pb, and $σ(e^+e^-\to a_0(f_0)γ)\sim 0.1$ pb. Photon angle distribution and the spin density matrices of $a_2$ and $f_2$ were calculated also.