Abstract
A simple model for the πΛ interaction, based on a forward dispersion relation for the inverse amplitude, is formulated. The assumption that the amplitude is dominated in the appropriate energy range by the Y 1 ∗ (1385) resonance leads to definite restrictions on the possible behaviour of the amplitude at lower and at higher energies. The asymptotic total cross section calculated from the model is consistent with the quark-model prediction. However, a negative S-wave scattering length is required, in disagreement with each of three alternative (mutually incompatible) predictions.
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