De. Kahana et al., REGGE TRAJECTORIES FROM THE 2-BODY, BOUND-STATE THOMPSON EQUATION USING A QUARK-CONFINING INTERACTION IN MOMENTUM-SPACE, Physical review. D. Particles and fields, 48(7), 1993, pp. 3408-3409
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.