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

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.