Abstract
Fitted phase-shift curves from the threshold to the dipion mass, which is equal to 1 GeV, are constructed on the basis of all available experimental values of the S-and P-wave phase shifts for five charged channels of pion-pion scattering. The resulting phase-shift curves are introduced in the Roy equations in order to obtain the subtraction constants λ (s). By using these subtraction-constant values as functions of the dipion mass, the S 0-and S 2-wave pion-pion scattering lengths are found to be a 0 0 = (0.240 ± 0.023)m π −1 and a 0 2 = (−0.034 ± 0.013)m π −1 . A strong correlation of the S-wave scattering lengths is demonstrated.
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