Pi-pi scattering at low energy: S-wave phase shifts and scattering lengths
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It is shown that the linear correlation relates the S-wave phase shifts from the threshold up to dipion mass 900 MeV. By using this correlation at the solution of the Roy equations, the accuracy of determination of S-wave lengths is considerably improved. The obtained result unambiguously witnesses in favor of the standard ChPT version with large quark condensate.
8 pages, 4 postscript figures, LaTeX; typos corrected, references updated and expanded, added more material in Sect.3
8 pages, 4 postscript figures, LaTeX; typos corrected, references updated and expanded, added more material in Sect.3