Abstract
High-energy models for πN backward scattering are investigated with respect to consistency with low-energy data using CMSR. As low-energyt-channel input, ππ phase shifts are used below the KK threshold and narrow-width approximations for higher meson poles. Real parts are restricted to appear in thes-channel physical region. A pole model with a double zero in Nα and a « geometrical delta » model reproduce the data on πN → πN and NN → ππ when the parameters are determined by CMSR.
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