Dynamical Regge Trajectories from the Multiperipheral Model

A multiperipheral model, based on one-pion-exchange dominance of low-momentum-transfer processes, is used to study the dynamical origin of the leading Regge trajectories which are coupled to the two-pion system. A Bethe-Salpeter technique is used to calculate the leading singularities in the angular-momentum plane from an input interaction that is determined by the observed low-energy pion-pion scattering amplitude plus the high-energy contribution of the Pomeranchon. The solution results in a partial bootstrap system in which the parameters of the Pomeranchon are determined self-consistently. The output trajectories are found to correspond to what we conjecture are effective Regge trajectories, which in reality correspond to both Regge-pole and cut contributions. The trajectories and coupling constants obtained seem to be in reasonable agreement with the values allowed by experiment.