We describe a critical test of the pion-nucleon forward dispersion relations up to the highest energies practical at the Brookhaven alternating-gradient synchrotron involving a precise measurement of both the real and imaginary parts of the π-N scattering amplitude. We find that the predictions of the π-N forward dispersion relations are in good agreement with the experiment up to at least 20 BeV/c.
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Foley et al. (1967) studied this question.
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