Quark-meson SU(3) model in a Tamm-Dancoff inspired approximation

The nonlinear chiral quark meson U(3)$times$U(3) model is solved by using the Tamm-Dancoff inspired approximation (TDIA) which is described in our earlier paper. The resulting nonlinear system of 15 coupled differential equations self-consistently determines all quark-meson coupling constants. Obtained solutions for quark and meson fields are stable and physically acceptable. These approximate Heisenberg fields resulted from dynamics in which $u$, $d$ and $s$ quarks were equally included. They were used to calculate SU(3) octet baryon magnetic moments and axial vector coupling constants. The baryon state vectors containing valence quarks were used. The results strongly indicate that simple state vectors and currents cannot adequately describe physical baryons.