Investigations on the Property of $f_0(600)$ and $f_0(980)$ Resonances in $\gamma\gamma\to \pi\pi$ Process

TL;DR

This paper uses dispersion relations and experimental data to analyze the properties of the $f_0(600)$ and $f_0(980)$ resonances in the $ o o o$ process, focusing on their di-photon couplings and dynamical features.

Contribution

It provides a coupled channel analysis of the $ o o o$ process and explores the physical significance of the coupling constant $g^2_{\sigma o o o}$, especially its negative real part.

Findings

Extracted di-photon couplings of $f_0(600)$ and $f_0(980)$.

Discussed the dynamical properties of these resonances.

Analyzed the physical meaning of the coupling constant $g^2_{\sigma o o o}$.

Abstract

Using dispersion relation technique and experimental data, a coupled channel analysis on $\gamma\gamma\to\pi\pi$ process is made. Di-photon coupling of $f_0(600)$ and $f_0(980)$ resonances are extracted and their dynamical properties are discussed. Especially we study the physical meaning of the coupling constant $g^2_{\sigma\pi\pi}$, which maintains a negative real part as determined through dispersive analyses.