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We have performed two analytical pipi phase shift analyses using a Standardamplitude analysis of the CERN data on pi(-)p->pi(-)pi(+)n on polarized targetat 17.2 GeV/c and a more recent analysis of the same data using Spin MixingMechanism (SMM). There are two solutions for helicity amplitudes labeled (1,1)and (2,2) in the Standard analysis and SpinMixing and S-Matrix in the SMManalysis which are related to the pipi scattering amplitudes. Our first phaseshift analysis is an elastic scattering analysis below KKbar threshold. Oursecond analysis is a joint pipi phase shift analysis of pi(-)pi(+) andpi(0)pi(0) data below 1080 MeV. Our elastic Solution (2,2)1 and elasticSolution SpinMixing 1 for delta^0_S are in a remarkable agreement with the 1997Cracow Solution Down-flat using the same CERN data on polarized target. Ourjoint Solution (2,2) and joint Solution SpinMixing are also in a remarkableagreement with the 2002 joint Cracow Solution Down-flat. Solutions elastic(1,1) and joint (1,1) agree with the Cracow Solutions Up-flat and are rejected.Model independent amplitude analyses of measurements of pi(-)p->pi(-)pi(+)n at17.2 and 1.78 GeV/c and pi(+)n->pi(+)pi(-)p at 5.98 and 11.85 GeV/c revealevidence for rho^0(770)-f_0(980) spin mixing in the S-wave transversityamplitudes. These transversity amplitudes define single-flip helicityamplitudes which have been related to pipi scattering amplitudes. Our keyobservation is that the presented and the Cracow solutions are consistent withthe evidence for rho^0(770)-f_0(980) spin mixing in the measured transversityamplitudes from which all these phase shifts ultimately arise.

Consistency of pipi phase shift analyses with rho^0(770)-f_0(980) spin mixing in pi(-)p->pi(-)pi(+)n