A self-consistent approach to the Wigner-Seitz treatment of soliton matter

Details A self-consistent approach to the Wigner-Seitz treatment of soliton matter A self-consistent approach to the Wigner-Seitz treatment of soliton matter

1997-10-10

arxiv.org/abs/nucl-th/9710021v1

Phys.Rev.C57:3376-3383,1998

Physics

Nuclear Physics

Nuclear Theory

Revtex; 14 pages with 9 eps figures

Scientific paper

10.1103/PhysRevC.57.3376

We propose a self-consistant approach to the treatment of nuclear matter as a crystal of solitons in the Wigner-Seitz approximation. Specifically, we use a Bloch-like boundary condition on the quarks at the edge of a spherical cell which allows the dispersion relation for a given radius to be calculated self-consistently along with the meson fields; in previous work some ansatz for the dispersion relation has always been an input. Results in all models are very sensitive to the form of the dispersion relation, so our approach represents a significant advance. We apply the method to both the Friedberg Lee model and the chiral quark-meson model of Birse and Banerjee. Only the latter shows short range repulsion; in the former the transition to a quark plasma occurs at unrealistically low densities.

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