1. See, for example,J. Hamilton andW. S. Woolcock:Rev. Mod. Phys.,35, 770 (1963).
2. Ramesh Chand:Bull, Am. Phys. Soc.,11, 37 (1966) and private communication. See, however,V. J. Stenger, W. E. Slater, D. H. Stork, H. T. Ticho, G. Goldhaber andS. Goldhaber:Phys. Rev.,134, B 1111 (1964) who findb o=0.04±0.04 fermi.
3. Thus, for instance, the forward scattering amplitudes must increase linearly with the square of the center of mass energys ass→∞ as the total cross-sections seem to approach constants in this limit. The importance of the validity of unsubtracted dispersion relations in the usual formalism for handling current algebras has been particularly emphasized byS. Fubini, G. Segre andJ. D. Walecka: preprint (Stanford University, 1966).
4. We followS. Okubo: preprint (University of Rochester, 1965) in defining ambiguous terms asq λ→0 by first settingq=0 and then lettingq o→0.
5. The relation for ∂F/∂q e‖q λ=0 is just the Adler-Weisberger relation,S. Adler:Phys. Rev. Lett.,14, 1051 (1965);W. Weisberger:Phys. Rev. Lett.,14, 1047 (1965). The relation forF atq λ=0 gives a new sum rule on writing a subtracted dispersion relation forF yielding the subtraction constants in terms of dispersion integrals. This sum rule will be discussed elsewhere.