Three-body decays of $\pi_{2}(1670)$ and $\rho_{3}(1690)$ via the Sill distribution

Abstract

We present the three-body decays for the resonances $\pi_{2}(1670)$ and $ \rho_3(1690)$. We use an effective model based on the flavor symmetry and have assumed the Sill distribution for describing the lie-shape of intermediate unstable resonances. The vector-pseudoscalar meson decay channel is considered as an intermediate step to explain the decay of three-pseudoscalar meson channels.