Comparative study of the scalar- and tensor-meson production in the reaction $\gamma {\gamma }^{\ast }(Q^2)\to \eta {\pi }^0$

Abstract

The prediction of the cross section $\sigma (\gamma {\gamma }^{\ast }(Q^2)\to \eta {\pi }^0)$ based on the simultaneous description of the Belle data on the $\gamma \gamma \to \eta {\pi }^0$ reaction and the KLOE data on the $\varphi \to \eta {\pi }^0\gamma$ decay is presented. The production of the scalar $a_0(980)$ and tensor $a_2(1320)$ is studied in detail. It is shown that the QCD based asymptotics of the ${\gamma }^{\ast }(Q^2)\gamma \to a_2(1320)\to \eta {\pi }^0$ cross section can be reached by the compensation of the contributions of $\rho (770)$ and $\omega (782)$ with the contributions of their radial excitations in $Q^2$ channel. At large $Q^2$ the $a_2(1320)$ contribution is expected to be dominant, while at $Q^2=0$ it is similar to the scalars contribution.

27 pages, 12 figures. The text is clarified, some other changes are done

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Cited by in corpus (3)

• Light scalar mesons and two-kaon correlation functions
• The $a_0(980)$ physics in semileptonic $D^0$ and $D^{+}$ decays
• Transition form factors ${\gamma }^{\ast }\to \gamma f_2(1270)$ and ${\gamma }^{\ast }\to \gamma a_2(1320)$ in the $e^{+}{e}^{-}$ collisions