RELATIVISTIC QUARK-ANTIQUARK BOUND-STATE PROBLEM WITH SPIN-DEPENDENT INTERACTIONS IN MOMENTUM-SPACE

The work described in this paper is the first step toward a relativist ic three-quark bound-state calculation using a Hamiltonian consistent with the Wigner-Bargmann theorem and macroscopic locality. We give an explicit demonstration that we can solve the two-body problem in momen tum space with spin-dependent interactions. The form of the potential is a combination of linear+Coulomb+spin+spin+spin+orbit+tensor, which includes confinement and is of the general form consistent with rotati on, space-reflection, and time-reversal invariance. A. comparison is m ade with previous calculations using an alternate technique and with t he experimental meson mass spectrum. The results obtained suggest that the model is realistic enough to provide a two-body basis for the thr ee quark baryon problem in which the Poincare group representation is unitary and cluster separability is respected.