1. A series of recent experiments have shown the ratio α=Re T/ImT, T forward scattering amplitude, to be-0.2 to-0.3 at laboratory energies around 10 GeV (πp and pp) and 20 GeV (pp); for a review seeS. J. Lindenbaum’s report at theInternational Conference on High-Energy Physics, (Dubna, USSR, August 1964). The forward dispersion relations predict a slow approach of α to zero at higher energies; see,e.g.,P. Söding:Phys. Lett.,8, 285 (1964) for pp andG. Höhler, G. Ebel andJ. GieseCke:Zeits. f. Phys.,180, 430 (1964) for πp.
2. K. J. Foley, S. J. Lindenbaum, W. A. Love, S. Ozaki, J. J. Kussel andL. C. L. Yuan:Phys. Bev. Lett.,11, 425, 503 (1963).
3. L. Van Hove:Bev. Mod. Phys.,36, 655 (1964). As kindly pointed out by Dr.E. F. Peieels, the right-hand side of eq. (4.12) of this paper should read 0.185 instead of 0.213. Also a1 in eq. (4.16) should be changed from 0.86 to 0.885. The uncorrelated model presented in this paper has been applied to pion-proton and protonproton scattering byW. N. Cottingham andE. F. Peieels:The Impact Parameter Expansion of High-Energy Elastic Scattering Amplitudes, Brookhaven National Laboratory preprint (August 1964).
4. A. Białas:Nuovo Cimento,33, 972 (1964).
5. A similar model of high-energy collisions has been investigated recently byL. Chang andZ. Koba: to be published. See alsoZ. Koba:Proceedings of the International Conference on High-Energy Physics (Dubna, 1964), to be published. This model is more realistic than ours, but it does not use crossing symmetry and makes no predictions on the shape of the angular distribution for elastic scattering.