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The multichannel S- and P-wave amplitudes for the pion-pion scattering,constructed requiring analyticity and unitarity of the S-matrix and using theuniformization procedure, are elaborated using the dispersion relations withimposed crossing symmetry condition. The amplitudes are modified in thelow-energy region to improve their consistency with experimental data and thedispersion relations. Agreement with data is achieved for both amplitudes fromthe threshold up to 1.8 GeV and with dispersion relations up to 1.1 GeV.Consequences of the applied modifications, e.g. changes of the S-wavelowest-pole positions, are presented.

Improvement of multichannel amplitudes for the pion-pion scattering using the dispersion relations