Abstract
It is assumed that the Veneziano model in some ways represents a good approximation to the scattering amplitude and as such already contains the effects of numerous coupled, inelastic channels. This hypothesis is used to calculate the absorption parameters for pion-pion scattering below 2 GeV using a partial-wave dispersion relation, where some simple forms for the phase shifts are assumed. The results are compared with other analyses and extended to the case of pion-kaon scattering. Some implications of these results are discussed, and the problem of the presence or absence of the Pomeranchukon is outlined.