Self-Consistent Regge Trajectory in a Multiperipheral Model

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Abstract
We examine the possibility of using multiparticle unitarity to write self-consistency equations for Regge trajectories. On the assumption that the dominant mechanism for inelastic processes at high energy is provided by multi-Reggeized meson exchange, and using the integral-equation approach suggested by Chew, Goldberger, and Low, the self-consistency conditions on the trajectory intercept and slope leave only one free parameter. The numerical values obtained are physically quite reasonable. It is also possible to generate the Pomeranchuk trajectory via the same dynamical mechanism. The slope of the Pomeranchuk trajectory thus obtained is similar to the slope of the meson Regge trajectory.