Fine Structure Constant in the Slope of Regge Trajectories

Abstract

Recent research has indicated that meson and baryon Regge trajectories are nonlinear and that all current models are ruled out by data. Tang and Norbury have identified a number of properties for Regge trajectories: a test zone for linearity, divergence, parallelism and intersecting lines. Likewise, Inopin has reconstructed Regge trajectories for mesons and baryons, indicating that a majority of trajectories is grossly nonlinear. In most of the models for Regge trajectories, there is no indication that researchers have studied particle binding energies to explain the deviation of experimental data from theory. In terms of quark models, Mac Gregor has studied binding energies in the constituent quark (CQ) model, and we shall turn to this model for help in explaining the slope of meson Regge trajectories. PACS number(s): 12.40.Nn, 12.39.-x