Systematics ofq6systems in a simple chromomagnetic model

In the framework of a pure chromomagnetic Hamiltonian we study all the $q^6$ systems allowed by the Pauli principle. In a first step, where we consider an exact ${\mathrm{SU}\mathrm{}\left(3\right)\mathrm{}}_F$ symmetry, the wave functions are analyzed by group-theoretical techniques. The breaking of the flavor symmetry is performed exactly by introducing a parameter $\delta$. The emphasis is put on the corresponding energies relative to the $q^3+q^3$ thresholds.