Study of the $J/\psi \to \phi (\omega) f_2(1270)$, $J/\psi \to \phi (\omega) f'_2(1525)$ and $J/\psi \to K^{*0}(892) \bar{K}^{* 0}_2(1430)$ decays

TL;DR

This paper investigates $J/\psi$ decay modes into vector and tensor mesons, modeling certain tensor states as dynamically generated from vector-vector interactions, and compares theoretical ratios with experimental data.

Contribution

It introduces a method to analyze $J/\psi$ decays considering tensor mesons as dynamically generated states from vector-vector interactions, and successfully fits experimental decay ratios.

Findings

The decay ratios agree with experimental measurements.

Tensor mesons are consistent with being dynamically generated from vector-vector interactions.

The approach provides a nontrivial test for the nature of these tensor states.

Abstract

We present an approach to study the decay modes of the $J/\psi$ into a vector meson and a tensor meson, taking into account the nature of the $f_2(1270)$, $f'_2(1525)$, $\bar{K}^{* 0}_2(1430)$ resonances as dynamically generated states from the vector meson-vector meson interaction. We evaluate four ratios of partial decay widths in terms of a flavor dependent OZI breaking parameter and the results obtained compare favorably with experiment. The fit to the data is possible due to the particular strength and sign of the couplings of the resonances to pairs of vector mesons given by the theory, thus providing a nontrivial test for the idea of these tensor states as dynamically generated from the vector-vector interaction.