Pauli quenching effects in a simple string model of quark/nuclear matter

Abstract

The method of thermodynamic Green’s functions is applied to a nonrelativistic many-quark model system. A color-saturated confinement interaction is introduced by considering nearest-neighbor string configurations. The equation of state which accounts for the formation of three-particle bound states is derived within a ladder Hartree-Fock approximation. The temperature- and density-dependent energy shift of the intrinsic nucleonic system is calculated by considering the exchange symmetry (Pauli principle) between the quark constituents of the nucleons. The relation of this nucleonic quasiparticle energy shift to nuclear-matter data is pointed out. It is shown that beyond a critical density the nucleonic clusters are dissolved due to the Pauli quenching effects. The hadronic-to-quark-matter phase transition is considered at zero temperature.