The interference effects of multi-channel pion-pion scattering contributions to the final states of $\Psi$- and $\Upsilon$-meson family decays

TL;DR

This paper explains the dipion mass distributions in charmonia and bottomonia decays through a unified interference mechanism involving multiple coupled channels, enhancing understanding of meson decay dynamics.

Contribution

It introduces a unified model accounting for interference effects of multiple coupled channels in meson decay dipion mass distributions.

Findings

Dipion mass distributions are explained by interference of coupled channels.

The model unifies explanations for charmonia and bottomonia decays.

Interference effects are crucial for understanding decay spectra.

Abstract

It is shown that the basic shape of dipion mass distributions in the two-pion transitions of both charmonia and bottomonia states are explained by an unified mechanism based on the contribution of the $\pi\pi$, $K\overline{K}$ and $\eta\eta$ coupled channels including their interference.