Scalar mesons in $η'\to3π^{0},π^{0}π^{+}π^{-}$ decays

Abstract

The decays $η'\to3π^{0}$ and $π^{0}π^{+}π^{-}$ were consider in isobar model approach. Branching ratio and Dalitz-plot shape of the decay $η'\to3π^{0}$ can be explain by $a0$- and $σ$-meson contributions. The $σ$ meson term is needed for the Dalitz-plot distribution reconstruction. The branching ratio of the decay $η'\to π^{0}π^{+}π^{-}$ 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.