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The coupled processes -- the pion-pion scattering and pi pi --> K antiK inthe I^GJ^{PC}=0^+0^{++} channel -- are analyzed (both separately and combined)in a model-independent approach based on analyticity and unitarity and using auniformization procedure. It is shown: 1) a structure of the Riemann surface ofthe S-matrix for considered coupled processes must be allowed for calculatingboth amplitudes and resonance parameters, such as the mass and width; 2) thecombined analysis of coupled processes is needed as the analysis of only pi-pichannel does not give correct values of resonance parameters even if theRiemann surface structure is included.

Can parameters of f_0-mesons be determined correctly analyzing only pion-pion scattering?