A Chiral Symmetric Relativistic Mean Field Model with a Logarithmic sigma Potential

2006/07/21 by Kohsuke Tsubakihara, Akira Ohnishi
Physics and Astronomy · #Baryon #High-Energy Particle Collisions Research #Lattice (music) #Lattice QCD #Logarithm #Mean field theory #Nuclear matter #Nuclear physics #Nucleon #Physics #Pulsars and Gravitational Waves Research #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Sigma #Sigma model #nucl-th

paper · pdf · doi:10.1143/ptp.117.903

published as Prog.Theor.Phys.117:903-921,2007 · 19 pages, 6 figures

arxiv created 2006/07/21 · openalex publication_date 2007/05/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We develop a chiral symmetric relativistic mean field model with a logarithmic sigma potential derived in the strong coupling limit of lattice QCD. We find that both nuclear matter and finite nuclei are accurately described by the present model. The normal vacuum is found to be globally stable at zero and finite baryon densities, and an equation of state with moderate stiffness (K ≃ 280 MeV) is obtained. The binding energies and charge radii of Z closed even-even nuclei are accurately predicted over a wide mass range from C to Pb isotopes, except for underestimates of the binding energies for several jj closed nuclei.

Citations

• Critical Survey of Isoscalar and Isovector Contributions to the Spin Orbit Potential in Relativistic Mean Field Theory
• A New Parameterization for the Lagrangian Density of Relativistic Mean Field Theory
• The axial vector current in beta decay
• SU(2) Chiral Sigma Model and Properties of Neutron Stars

Cited by

• Phase diagram at finite temperature and quark density in the strong coupling limit of lattice QCD for color SU(3)