Boson–fermion and baryon mapping of multiquark states

The generalized Dyson boson mapping is extended to multifermion systems containing three‐particle substructures as occurring in nuclear matter. Two different approaches are described. The first one leads to a mapping involving equal numbers of bosons and fermions, where each boson, as usual, represents a fermion pair. The second possibility consists of the introduction of new kinds of fermions carrying the quantum numbers of the original three‐fermion subsystems. Both transformations are nonunitary.