%0 Journal Article
%A Kamiński, Robert
%A Garcia Martin, R.
%A Peláez Sagredo, José Ramón
%A Ruiz De Elvira Carrascal, Jacobo
%T Precise determination of the f_o(500) and f_o(980) parameters in dispersive analysis of the ππ data
%D 2013
%@ 0920-5632
%U https://hdl.handle.net/20.500.14352/34963
%X Use of the new and precise dispersive equations with imposed crossing symmetry condition to solve the longstanding puzzle in the parameters of the f_o(500), as well as the f_o(980) is presented. This puzzle is finally being settled thanks to analyzes carried out during the last years [1]. In this report we show how our very recent dispersive data analysis allowed for a precise and model independent determination of the amplitudes for the S, P, D and F waves [2–4]. Especially we present that the analytic continuation of once subtracted dispersion relations for the S 0 wave to the complex energy plane leads to very precise results for the f_o(500) pole: √S_ ¬(pole) = 457^(+14) _(−13) − i279^(+11) _(−7) MeV and for the f_o(980) √S_ ¬(pole) = 996 ± 7 − i25^(+10)_(−6) MeV. We also mention on first (or one of the first) practical application of presented dispersion relations in refitting and in significant improving of the ππ S –wave amplitudes below 1000 MeV
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