Extended Chiral (σ, π, ω) Mean-Field Model with Vacuum Fluctuation Corrections

Density-dependent relations among saturation properties of symmetric nuclear matter and properties of hadronic stars are discussed by applying the conserving chiral nonlinear (sigma, pi, omega) mean-field theory. The chiral nonlinear (sigma, pi, omega) mean-field theory is an extension of the conserving nonlinear (nonchiral) sigma-omega mean-field theory, which is thermodynamically consistent, relativistic and Lorentz-covariant. In the extended chiral (sigma, pi, omega) mean-field model, all the masses of hadrons are produced by the spontaneous chiral symmetry breaking, which is different from conventional chiral partner models. By comparing both nonchiral and chiral mean-field approximations, the effects of the chiral symmetry breaking mechanism on the mass of sigma-meson, coefficients of nonlinear interactions and Fermi-liquid properties are investigated in nuclear matter and neutron stars.