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Nuclear matter in the crystal soliton bag model
Phys. Rev. D 32, 2414 – Published 1 November, 1985
DOI: https://doi.org/10.1103/PhysRevD.32.2414
Abstract
A model for nuclear matter is introduced as consisting of an infinite number of bags placed on a spatial cubic lattice. Using the soliton bag model of Friedberg and Lee in the self-consistent mean-field approximation we study the properties of the system as a function of the lattice constant. At low densities the hadronic matter is well described by the solutions of isolated nucleons. With decreasing lattice constant the energies of the quarks spread out into bands and the quark wave functions of different bags start to overlap. At a certain critical density an abrupt phase transition to a uniform quark distribution occurs. The model yields a critical density of the order of the normal nuclear density which shows that the model cannot adequately describe the repulsive part of the nucleon-nucleon interaction at small relative distances.
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