Quark and Nuclear Matter in the Linear Chiral Meson Model

1998/11/30 by J. Berges, D.-U. Jungnickel, D. -U. Jungnickel +1 · 6 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Pulsars and Gravitational Waves Research #Quantum Chromodynamics and Particle Interactions #hep-ph #nucl-th

paper · pdf · doi:10.1142/s0217751x03014034

published as Int.J.Mod.Phys. A18 (2003) 3189-3220 · 27 pages, Int.J.Mod.Phys.A version

arxiv created 2003/03/11 · openalex publication_date 2003/07/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present an analytical description of the phase transitions from a nucleon gas to nuclear matter and from nuclear matter to quark matter within the same model. The equation of state for quark and nuclear matter is encoded in the effective potential of a linear sigma model. We exploit an exact differential equation for its dependence upon the chemical potential μ associated to conserved baryon number. An approximate solution for vanishing temperature is used to discuss possible phase transitions as the baryon density increases. For a nucleon gas and nuclear matter we find a substantial density enhancement as compared to quark models which neglect the confinement to baryons. The results point out that the latter models are not suitable to discuss the phase diagram at low temperature.

Citations

• Exact evolution equation for the effective potential
• Recent Progress in Quantum Hadrodynamics

Cited by

• Chemical freeze-out in heavy ion collisions at large baryon densities
• Nonequilibrium chiral fluid dynamics including dissipation and noise
• The nonperturbative functional renormalization group and its applications
• Effective Hadron Masses and Effective Interactions in Nuclear Matter
• Fluctuations and phases in baryonic matter
• From asymmetric nuclear matter to neutron stars: A functional renormalization group study