We study the performance of some recent potential models suggested as effective interactions between constituent quarks. In particular, we address constituent quark models for baryons with hybrid $Q-Q$ interactions stemming from one-gluon plus meson exchanges. Upon recalculating two of such models we find them to fail in describing the $N$ and $\Delta$ spectra. Our calculations are based on accurate solutions of the three-quark systems in both a variational Schrödinger and a rigorous Faddeev approach. It is argued that hybrid $Q-Q$ interactions with a sizable one-gluon-exchange component encounter difficulties in describing baryon spectra due to the specific contributions from one-gluon and meson exchanges together. In contrast, a chiral constituent quark model with a $Q-Q$ interaction relying solely on Goldstone-boson exchange is capable of providing a unified description not only of the $N$ and $\Delta$ spectra but also of all strange baryons in good agreement with phenomenology.

• Received 6 May 1997

DOI:https://doi.org/10.1103/PhysRevC.57.3406