Scalar mesons in $\eta'\to3\pi^{0},\pi^{0}\pi^{+}\pi^{-}$ decays

Abstract

The decays $\eta'\to3\pi^{0}$ and $\pi^{0}\pi^{+}\pi^{-}$ were consider in isobar model approach. Branching ratio and Dalitz-plot shape of the decay $\eta'\to3\pi^{0}$ can be explain by $a0$- and $\sigma$-meson contributions. The $\sigma$ meson term is needed for the Dalitz-plot distribution reconstruction. The branching ratio of the decay $\eta'\to \pi^{0}\pi^{+}\pi^{-}$ can be calculated in the same isobar framework. The prediction for the Dalitz-plot of this decay is shown which strongly dependents from model parameters.