Determination of the S-Wave π-π Amplitude near the ϱ Peak from the Reaction π-+p→π++π-+n
Abstract
A fit to recent extensive data for the reaction π-+p→π++π-+n at incident π- momentum ∼4 BeVc and final two-pion center-of-mass energy mππ∼mρ was made. The peripheral model with absorption was used in the fit. The asymmetry in the final two-pion distribution θπ gives a quantitative determination of the π-π, S-wave, I=0 scattering amplitude. A constant phase shift of ∼+60°gives as good a fit the to data as a resonance ε0 (at 730 MeV with a width of 90 MeV), proposed by Durand and Chiu. A negative phase shift of ∼-60°is ruled out by examining the distribution in θπ as a function of mππ. © 1967 The American Physical Society.
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