Properties of the light scalar mesons face the experimental data on the $\varphi \to {\pi }^0{\pi }^0\gamma$ decay and the $\pi \pi$ scattering

Abstract

The high-statistical KLOE data on the $\varphi \to {\pi }^0{\pi }^0\gamma$ decay are described simultaneously with the data on $\pi \pi$ scattering and the $\pi \pi \to K\bar{K}$ reaction. The description is carried out taking into account the chiral shielding of the putative $\sigma (600)$ meson and it's mixing with the well-established $f_0(980)$ meson. It is shown that the data don't contradict the existence of the $\sigma (600)$ meson and yield evidence in favor of the four-quark nature of the $\sigma (600)$ and $f_0(980)$ mesons.

A few typos are removed. 1) In Eq. (19) D_ρ(m_ρ) and D_ρ(m^*_ρ) are replaced by D_ρ(\tilde{m}_ρ) and D_ρ(\tilde{m}^*_ρ), respectively. 2) For Fit 7 in Table II the constant g_{σπ^+π^-}= -2.1 GeV is replaced by g_{σπ^+π^-}=2.1 GeV

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