Relativistic Two-Body Wave Equation and Meson Spectrum

Abstract

The meson spectrum is studied with use of an equal-time relativistic two-body equation with electrostatic confinement potentials. A normalizability condition excludes all but a bag solution which gives a spectral pattern in between the SU(6) and the chiral SU(3) ⊗ SU(3) limits. Orbital mixing creates a pair of ${}_{}{}^3{}_{}{}^{}S_1^{}{}_{}{}^{}+{}_{}{}^3{}_{}{}^{}D_1^{}{}_{}{}^{}$ states sandwiching the ${}_{}{}^1{}_{}{}^{}P_1^{}{}_{}{}^{}$ level. $\rho -{\rho }^{\prime }$ and $\frac{\psi }{J}-{\psi }^{\prime }$ pairs fit this picture very well.