REGGE TRAJECTORIES FROM THE 2-BODY, BOUND-STATE THOMPSON EQUATION USING A QUARK-CONFINING INTERACTION IN MOMENTUM-SPACE

Solutions of two-body, bound-state equations have recently been develo ped for quark-antiquark bound-state pairs. These solutions use a confi ning potential in momentum space as input into three-dimensional reduc tions of the Bethe-Salpeter equation using special subtraction procedu res. Regge trajectories are calculated for the Schrodinger equation wh ich display the well-known unphysical behavior where lower mass trajec tories overlap higher mass ones and also display nonlinearity. Both of these features contradict experiment. Regge trajectories obtained fro m the Thompson equation, which is relativistic in origin, avoid both o f these problems.