To investigate the $t$-dependent solutions of simple dual bootstrap models, we discuss two general formulations, one without and one with cut cancellation for the Reggeon-particle amplitude at the planar level. We discuss the possible corresponding production mechanisms. In contrast to Bishari's formulation, both of our models recover the Lee-Veneziano relation, i.e., in the peak approximation the Pomeron intercept is unity. The solutions based on an exponential form for the reduced triple-Reggeon vertex for both models are discussed in detail. We also calculate the cut discontinuities for both of our models and for Bishari's and show that at both the planar and cylinder levels they are small compared with the corresponding pole residues. Precocious asymptotic planarity is also found in our solutions.

• Received 5 July 1978

DOI:https://doi.org/10.1103/PhysRevD.19.2778