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Regge trajectories and the pomeron slope in the ABFST multiperipheral model


The forward and non-forward Amati-Bertocchi-Fubini-Stanghellini-Tonin (ABFST) multiperipheral integral equations with pion exchange and resonance production are solved in a factorizable approximation to the kernel. The solution, which determines the Regge trajectories, is continuous at t = 0 and is analytically continued and studied for all t. In this pion exchange model, the slope of the pomeron trajectory at t = 0 is calculated and is found to have a crucial dependence on the pion mass. The ππ cross section is also calculated in this approximation. The behavior of the trajectories near threshold is shown to be the same as in potential theory. The t → ± ∞ limits of the solution are also analyzed. © 1971.

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