Starting with an effective Hamiltonian for multi-quark systems, we propose a mapping of the quark degrees of freedom onto triplet fermions that represent colorless three-quark clusters. We end up with an effective Hamiltonian for the triplet fermions, which can be treated by traditional nuclear many-body techniques. In this approach, the nuclear ground state represents a quantum liquid of composite particles, the nucleons. Higher-lying states involve both excitations within the space of nucleons and excitations of the nucleons themselves. The method is tested in the context of a schematic model of quarks interacting through an angular momentum and isospin pairing interaction and is shown to be very promising.
KeywordsQuark Model Ideal Fermion Pairing Strength Nuclear Ground State Quark Degree
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