Final-state interaction phase difference in $J/\psi\to\rho\eta$ and $\omega\eta$ decays

TL;DR

This paper investigates the interference pattern between $ ho^0$ and $ ho^0$ in $J/ar{ ext{}}$decays, revealing a large phase difference between decay amplitudes, which enhances understanding of decay dynamics.

Contribution

It provides experimental evidence for a nearly 90-degree phase difference between one-photon and three-gluon decay amplitudes in $J/ar{ ext{}}$ decays.

Findings

Large phase difference (~90°) between decay amplitudes.

Interference pattern analysis supports phase difference evidence.

Enhances understanding of decay mechanisms in charmonium states.

Abstract

It is shown that the study of the $\omega-\rho^0$ interference pattern in the $J/\psi\to (\rho^0+\omega)\eta\to\pi^+\pi^-\eta$ decay provides the evidence for the large (nearly $90^\circ$) relative phase between the one-photon and the three-gluon decay amplitudes.