Abstract
We use our former results on pi+pi- S-wave obtained in a nearly assumption-free way from the 17.2 GeV/c data to predict the pi0pi0 S--wave. The predictions are compared with the recent results of the E852 experiment at 18.3 GeV/c. A good agreement is found for only one (the "down-flat") solution while the second one (the "up-flat") is excluded by the pi0pi0 data. Thus the long-standing "up-down" ambiguity has been finally resolved in favour of the S-wave intensity which stays large and nearly constant up to the KK-bar threshold. A joint analysis of both sets of data leads to a reduction of errors for this solution.
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