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

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 $f_2(1270)$.

Comments: 7 pages, 9 figures, proof of gauge invariance added