We present a new and consistent mapping of colorless three-quark clusters onto colorless triplet fermions (baryons) and test it in the context of a three-color extension of the Lipkin model. For systems with two triplets (for which the problem can be solved without approximation both before and after the mapping), we exactly reproduce the dynamics of the model for the variety of correlation structures considered.

• Received 7 December 1993

DOI:https://doi.org/10.1103/PhysRevC.50.423