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

TL;DR

This paper models the three-body decays of specific meson resonances using an effective flavor symmetry approach and the Sill distribution to describe resonance line-shapes, providing insights into decay mechanisms.

Contribution

It introduces a novel application of the Sill distribution in modeling resonance line-shapes for three-body meson decays within an effective flavor symmetry framework.

Findings

Successful description of decay line-shapes using the Sill distribution

Identification of decay pathways involving vector-pseudoscalar intermediate states

Enhanced understanding of three-body decay dynamics in meson resonances

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.