Abstract
The proof of dispersion relation is extended to higher momentum transfer by making use of the unitarity ofS-matrix for the energy region below the threshold for three-particle states. For the pionnucleon scattering, dispersion relation can be proved up to the momentum transfer δ2 < 4.7Μ2. While Mandelstam was able to show an extended analyticity of the scattering amplitude for equal mass particles, we cannot apply his method to unequal mass cases. Therefore, we follow essentially the procedure of Streater with a view to apply the Jost-Lehmann-Dyson integral representation explicitly to the final expression of the absorptive part.
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