Light-meson spectroscopy and combined analysis of processes with pseudoscalar mesons

The status and parameters of the scalar, vector, and tensor mesonic resonances are obtained in the multichannel analysis of processes $\ensuremath{\pi}\ensuremath{\pi}\ensuremath{\rightarrow}\ensuremath{\pi}\ensuremath{\pi}$, $K\overline{K}$, $\ensuremath{\eta}\ensuremath{\eta}$, and $\ensuremath{\eta}{\ensuremath{\eta}}^{\ensuremath{'}}$ and compared with other results. For example, we obtained the ${f}_{0}(600)$ meson with mass $774\ifmmode\pm\else\textpm\fi{}15\text{ }\text{ }\mathrm{MeV}$ and width $988\ifmmode\pm\else\textpm\fi{}36\text{ }\text{ }\mathrm{MeV}$ (the pole position on sheet II is $596\ensuremath{-}i494\text{ }\text{ }\mathrm{MeV}$) and the first $\ensuremath{\rho}$-like meson with mass $1275\ifmmode\pm\else\textpm\fi{}32\text{ }\text{ }\mathrm{MeV}$ and total width $304\ifmmode\pm\else\textpm\fi{}24\text{ }\text{ }\mathrm{MeV}$, which differ significantly from the mean value $1459\ifmmode\pm\else\textpm\fi{}11\text{ }\text{ }\mathrm{MeV}$ cited in the Particle Data Group tables. Spectroscopic implications from results of these analyses and possible classification of the resonance states in terms of the SU(3) multiplets are also discussed.

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