The $f_0(1370)$, $f_0(1710)$, $f_2(1270)$, $f_2'(1525)$, and $K_2^*(1430)$ as dynamically generated states from vector meson - vector meson interaction

TL;DR

This paper demonstrates that certain low-lying mesonic resonances can be explained as dynamically generated states arising from vector meson interactions, using a coupled-channel unitarized approach with hidden-gauge Lagrangians.

Contribution

The study shows these five resonances emerge naturally from vector meson interactions within a unitarized framework, providing a unified dynamical origin for them.

Findings

Resonances are well described by the model's decay data.

Predictions made for observables can distinguish different resonance models.

The approach aligns with experimental decay widths and branching ratios.

Abstract

We report on some recent developments in understanding the nature of the low-lying mesonic resonances $f_0(1370)$, $f_0(1710)$, $f_2(1270)$, $f_2'(1525)$, and $K_2^*(1430)$. In particular we show that these five resonances can be dynamically generated from vector meson--vector meson interaction in a coupled-channel unitary approach, which utilizes the phenomenologically very successful hidden-gauge Lagrangians to produce the interaction kernel between two vector mesons, which is then unitarized by the Bethe-Salpeter-equation method. The data on the strong decay branching ratios, total decay widths, and radiative decay widths of these five states, and on related $J/\psi$ decay processes can all be well described by such an approach. We also make predictions, compare them with the results of earlier studies, and highlight observables that if measured can be used to distinguish different pictures of these resonances.