Study of the $f_2(1270)$, $f_2'(1525)$, $f_0(1370)$ and $f_0(1710)$ in the $J/\psi$ radiative decays

TL;DR

This paper investigates the radiative decay modes of the $J/ar{psi}$ into various tensor and scalar mesons, comparing dynamical generation models with quark models to identify potential distinguishing features.

Contribution

The study compares predictions from dynamical vector meson scattering models and quark models for $J/ar{psi}$ radiative decays into specific mesons, suggesting ways to differentiate these scenarios.

Findings

Evidence that improved data could distinguish models

Comparison of dynamical and quark model predictions

Insights into meson structure from decay patterns

Abstract

In this paper we present an approach to study the radiative decay modes of the $J/\psi$ into a photon and one of the tensor mesons $f_2(1270)$, $f'_2(1525)$, as well as the scalar ones $f_0(1370)$ and $f_0(1710)$. Especially we compare predictions that emerge from a scheme where the states appear dynamically in the solution of vector meson--vector meson scattering amplitudes to those from a (admittedly naive) quark model. We provide evidence that it might be possible to distinguish amongst the two scenarios, once improved data are available.