Pion scalar form factor and model independent values of $f_0(500)$ and $f_0(980)$ meson parameters

Abstract

The pion scalar form factor along with all existing S-wave iso-scalar $\pi \pi$-scattering phase shift data in the elastic region up to $1{\mathrm{GeV}}^2$ are applied for a determination of the $f_0(500)$ and $f_0(980)$ meson parameters $m_{f_0(500)}=(360\pm 33)\mathrm{MeV}$, ${\Gamma }_{f_0(500)}=(587\pm 85)\mathrm{MeV}$ and $m_{f_0(980)}=(957\pm 77)\mathrm{MeV}$, ${\Gamma }_{f_0(980)}=(164\pm 142)\mathrm{MeV}$ in a model independent way.

Comments: 13 pages, 3 figures, submitted to Phys.Rev.D