The $\gamma \gamma$ decay of the $f_0(1370)$ and $f_2(1270)$ resonances in the hidden gauge formalism

TL;DR

This paper calculates the gamma-gamma decay widths of the $f_0(1370)$ and $f_2(1270)$ resonances using the hidden gauge formalism, finding results consistent with experimental data and suggesting a smaller width for the $f_0(1370)$.

Contribution

It provides a novel calculation of the radiative decay widths of these resonances within the hidden gauge formalism, supporting their dynamical generation from $ ho ho$ interactions.

Findings

Good agreement with experimental width for $f_2(1270)$

Predicted smaller width for $f_0(1370)$ consistent with preliminary data

Supports the dynamical generation model of these resonances

Abstract

Using recent results obtained within the hidden gauge formalism for vector mesons, in which the $f_0(1370)$ and $f_2(1270)$ resonances are dynamically generated resonances from the $\rho \rho$ interaction, we evaluate the radiative decay of these resonances into $\gamma \gamma$. We obtain results for the width in good agreement with the experimental data for the $f_2(1270)$ state and a width about a factor five smaller for the $f_0(1370)$ resonance, which would agree with preliminary results from the Belle collaboration, hinting at an order of magnitude smaller width for this resonance than for the $f_2(1270)$.