  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
