BETHE-SALPETER EQUATION FOR qq SYSTEM AND CALCULATION OF MESON SPECTRA

In this paper,an adequate form of qq Bethe-Salpeter (B-S) equation with one gluon exchange interaction and harmonic oscillator confining potential being taken into account has been derived,based on correct Gordon decompositions of the γ-matrices and a proper treatment for the fermion propagators in the equation.Furthermore,a Pauli-Schrodinger (P-S) equation including relativistic corrections has been established on the basis of the B-S equation by making use of relations between 4×1 components of the 16×1 B-S amplitude and a connection between the B-S amplitude and the P-S wave function both of which were found in the approximation of the order of p²/m².Calculations of meson spectra by employing the latter equation give a better agreement with the experimental data.