NUMERICAL-SOLUTIONS TO THE PARTIALLY SEPARATED, EQUAL-MASS, WICK-CUTKOSKY MODEL

We discuss a numerical technique for solving four-dimensional, relativ istic, bound-state, two-body equations that have not been completely s eparated. The angular variables are first separated what is always pos sible for a rotationally invariant system. The resulting partially sep arated equation is, in general, a set of coupled integral or partial d ifferential equations in two variables that is solved numerically by e xpressing the solutions in terms of B-splines. We demonstrate the effi cacy of the method by solving the partially separated Bethe-Salpeter e quation for the equal-mass, Wick-Cutkosky model in the ladder approxim ation.