New relations expressing the imaginary part of the scattering amplitude as a coupling constant term and an integral over the physical spectrum of the real part of the amplitude are developed. These relations are applied to compute the meson-nucleon coupling constant from the experimental phase shifts, yielding the value f²=0.084, and are used to compute the s-wave scattering lengths from the p-wave data.
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Walter Gilbert (1957) studied this question.
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