$J/\psi$ decay into $\phi (\omega)$ and vector-vector molecular states

TL;DR

This paper investigates the decay processes of J/ψ into vector mesons and scalar or tensor resonances, predicting decay ratios based on a model where these resonances are dynamically generated from vector-vector interactions.

Contribution

It introduces a model predicting decay ratios of J/ψ into vector mesons and resonances, supporting the dynamic generation hypothesis with experimental agreement and new testable predictions.

Findings

Four decay ratios agree with experimental data.

Two predictions for unmeasured decay rates are provided.

One existing data point does not match the prediction.

Abstract

Based on the picture that the $ f_0(1370), f_0(1710), f_2(1270), f'_2(1525), \bar{K}^{*0}_2(1430)$ resonances are dynamically generated from the vector-vector interaction, we study the decays $J/\psi \to \phi (\omega) f_0(1370) [f_0(1710)]$, $J/\psi \to \phi (\omega) f_2(1270) [f'_2(1525)]$, and $J/\psi \to K^{*0} \bar{K}^{*0}_2(1430)$ and make predictions for seven independent ratios that can be done among them. The starting mechanism is that the $J/\psi$ decays into three vectors, followed by the final state interaction of a pair of them. The weights of the different three vector primary channels are obtained from the basic assumption that the $J/\psi$ ($c \bar c$) is an SU(3) singlet. By means of only one free parameter we predict four ratios in good agreement with experiment, make two extra predictions for rates yet unmeasured, and disagree on one data for which only upper bounds are reported. Further measurements are most welcome to complete the information required for these ratios that are testing the nature of these resonances as dynamically generated.