  We show that in realistic constituent quark models based on a two-body
confinement interaction color states appear in the middle of the experimentally
known spectrum. To avoid this situation we implement a three-body confinement
interaction, introduced on an algebraic basis, into a semirelativistic version
of the Goldstone-boson-exchange constituent quark model and by solving the
Faddeev equations we show that this interaction can increase the gap between
singlet and colour states, such as the latter can be ignored and the known
baryons can be described as $q^3$ systems. We analyze the effect of a $\Delta$-
and a Y-shape three-body interaction.
