CALCULATIONS OF THE LEADING MESON REGGE TRAJECTORY AND MESON COUPLINGS IN A PLANAR BOOTSTRAP MODEL
Abstract
In the framework of the dual topological unitarization approach to strong interactions, we consider a planar bootstrap model where duality is imposed on an infinite sum of ladder graphs without crossed quark lines. Using a certain simple dynamical approximation, we derive an explicit infinitely rising exchange-degenerate leading Regge trajectory for any given meson + meson (--->) meson + meson process. We apply the formalism to (pi)(pi) scattering and obtain the intercept and slope of the trajectory, which are in good agreement with experiment. We then set up a specific Pade approximation to the model and make coupling calculations at and near t = 0. We compare the results with similar computations based on a dual-tree model of the Neveu-Schwartz type. We calculate the triple-Regge coupling constant and meson resonance widths, which are in reasonable accord with experiment. Our computations are restricted, for simplicity, to (pi)(pi) scattering.
Degree
Ph.D.
Subject Area
Particle physics
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