Coupled channel analysis of $\pi^+ \pi^ -\pi^0$ , $K^+ K^- \pi^0$ and $K^{\pm} K^0_S \pi^{\mp}$ from $\bar p p$ annihilation at rest in hydrogen targets at three densities

The $\pi^+ \pi^ -\pi^0$ , $K^+ K^- \pi^0$ and $K^\pm K^0 \pi^\mp$ final states produced by $\bar p p$ annihilation at rest at three different hydrogen target densities have been analyzed in the frame of a coupled channel analysis together with $\pi \pi$ , $\pi K$ and $K \bar K$ scattering data. The percentages of the different partial waves, the branching ratios and the parameters (masses, widths, $\pi \pi$ and $K \bar K$ partial widths) of all the involved resonances (J P = 0+, 1-, 2+) have been measured. The main results on meson spectroscopy concern the determination of the $\Gamma_{K \bar K}/\Gamma_{\pi \pi}$ ratio for f 0 (1370) and f 0 (1500) ( $\Gamma_{K \bar K}/\Gamma_{\pi \pi} = 0.91 \pm 0.2 0$ and $\Gamma_{K \bar K}/\Gamma_{\pi \pi} = 0.25 \pm 0.03$ respectively), the determination of a 0 (1300) parameters ( $M=1303 \pm 16 $ MeV; $\Gamma= 92 \pm 16 $ MeV) and the observation of two different $\rho$ signals associated to $\rho(1450)$ and $\rho(1700)$ ( $M=1182 \pm 30 $ MeV; $ \Gamma=389 \pm 20 $ MeV and $M=1594 \pm 20 $ MeV; $ \Gamma=259 \pm 20 $ MeV respectively)