Abstract
The long-standing puzzle in the parameters of the f0(500), as well as the f0(980), is finally being settled [1] thanks to precise dispersive analyses carried out during the last years. Here we report on our very recent dispersive data analysis which allowed for a precise and model independent determination of the amplitudes for the S, P, D and F waves [2–4]. The analytic continuation of once subtracted dispersion relations for the S0 wave to the complex energy plane leads to very precise results for the f0(500) pole: √spole = 457-13+14 - i279-7+11 MeV and for the f0(980) pole: √spole = 996 ± 7 - i25-6+10 MeV.
Highlights
Our latest dispersive analysis of ππ scattering data including very recent Kl4 experimental results, have led to the construction of the ππ amplitudes in many partial waves (S, P, D and F) [2–4] and in an energy range from threshold to about 1400 MeV
The initial unconstrained fit to the data has been supplemented by theoretical constraints from Roy-type dispersion relations, forward dispersion relations (FDR) and sum rules for threshold parameters and crossing [2]
Mutual consistency of those amplitudes expressed by the fulfillment of the conditions imposed by the dispersion relations ensures that the analytical continuation on the complex plane of the S -wave amplitude provides reliable and precise information on the f0(500) and f0(980) resonances
Summary
Our latest dispersive analysis of ππ scattering data including very recent Kl4 experimental results, have led to the construction of the ππ amplitudes in many partial waves (S, P, D and F) [2–4] and in an energy range from threshold to about 1400 MeV. The initial unconstrained fit to the data has been supplemented by theoretical constraints from Roy-type dispersion relations, forward dispersion relations (FDR) and sum rules for threshold parameters and crossing [2]. Mutual consistency of those amplitudes expressed by the fulfillment of the conditions imposed by the dispersion relations ensures that the analytical continuation on the complex plane of the S -wave amplitude provides reliable and precise information on the f0(500) and f0(980) resonances
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