Regge trajectories from the two-body, bound-state Thompson equation using a quark-confining interaction in momentum space

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Abstract
Solutions of two-body, bound-state equations have recently been developed for quark-antiquark bound-state pairs. These solutions use a confining potential in momentum space as input into threedimensional reductions of the Bethe-Salpeter equation using special subtraction procedures. Regge trajectories are calculated for the Schrödinger equation which display the well-known unphysical behavior where lower mass trajectories overlap higher mass ones and also display nonlinearity. Both of these features contradict experiment. Regge trajectories obtained from the Thompson equation, which is relativistic in origin, avoid both of these problems.