The strong decays of the light scalar mesons $f_0(500)$ and $f_0(980)$

Abstract

The partial width of the decay channels $f_0(500)\to \pi \pi$, $f_0(980)\to \pi \pi$ and $f_0(980)\to K\bar{K}$ are calculated using QCD light-cone sum rules method and a technique of the soft meson approximation. The scalar particles are treated as mixtures of the heavy $|H⟩=([su][\bar{s}\bar{u}]+[sd][\bar{s}\bar{d}])/\sqrt{2}$ and light $|L⟩=[ud][\bar{u}\bar{d}]$ scalar diquark-antidiquark components. Obtained results for the full width of the $f_0(500)$ meson ${\Gamma }_{\mathrm{th}.}=434.7\pm 72.3\mathrm{MeV}$ and for the $f_0(980)$ meson ${\Gamma }_{th.}=42.12\pm 6.70\mathrm{MeV}$ are compared with the world averages for these parameters, and a reasonable agreement between them is found.

Comments: 7 Pages and 1 Figure