Bound states in the colored-quark model

The saturation problem in the three-triplet quark model, discussed previously by Nambu and by Lipkin, is investigated. We prove that in a simple version of the model, the only bound states of any color representation and any numbers of quarks and antiquarks are the $\text{q}\text{q}$ (meson), qqq (baryon), and a heavier diquark state.