Event calendar file
Construction of the pion scalar form factor from few poles and zero
Speakers
- Robert KAMIŃSKI
Primary authors
- Robert KAMIŃSKI (Institute of Nuclear Physics PAN, Kraków)
Co-authors
- Prof. Stanislav DUBNICKA (Inst of Physics SAS)
- Prof. Anna Zuzana DUBNICKOVA (Comenius University)
- Andrej LIPTAJ (Institute of Physics, Slovak Academy of Sciences, Dubravska cesta 9, 845 11 Bratislava 45, Slovak Republic)
Abstract content
Very simple and self-sufficient method of construction and definitive-full analysis of the pion scalar-isoscalar form factor in the elastic region is presented. It is based on precise $S$-wave $\pi\pi$ scattering phase shifts generated by dispersive analysis of experimental data with imposed crossing symmetry condition. Final result for values of the $f_0(500)$ meson mass and width, $m_{\sigma} = (459 \pm 22)$ MeV; $\Gamma_{\sigma} = (521 \pm 60)$ MeV is compatible with the results from dispersive analyses of the BERN and MADRID groups to be considered now as the most reliable values of the $f_0(500)$ scalar meson parameters, though in presented analysis another, unusual way has been applied. Self-sufficiency of the proposed derivation of the constructed form factor and its predictions near the $K \bar K$ threshold have been examined.
