Tests on the molecular structure of $f_2(1270)$, $f'_2(1525)$ from $\psi (nS)$ and $\Upsilon (nS)$ decays

TL;DR

This paper predicts decay processes of heavy quarkonium states into specific tensor and scalar mesons based on a molecular structure hypothesis, successfully matching some experimental data and providing new predictions.

Contribution

It introduces predictions for heavy quarkonium decays into mesons based on a molecular structure model, aligning with existing data and extending to unmeasured cases.

Findings

Agreement with three experimental ratios without free parameters

Predictions for unmeasured decay channels

Support for the molecular structure hypothesis of certain resonances

Abstract

Based on previous studies that support the vector-vector molecular structure of the $f_2(1270)$, $f'_2(1525)$, $\bar{K}^{*\,0}_2(1430)$, $f_0(1370)$ and $f_0(1710)$ resonances, we make predictions for $\psi (2S)$ decay into $\omega(\phi) f_2(1270)$, $\omega(\phi) f'_2(1525)$, $K^{*0}(892) \bar{K}^{*\,0}_2(1430)$ and radiative decay of $\Upsilon (1S),\Upsilon (2S), \psi (2S)$ into $\gamma f_2(1270)$, $\gamma f'_2(1525)$, $\gamma f_0(1370)$, $\gamma f_0(1710)$. Agreement with experimental data is found for three available ratios, without using free parameters, and predictions are done for other cases.