How far is normal nuclear matter from the chiral symmetry restoration?

Abstract

Properties of cold nuclear matter are studied within a generalized Nambu-Jona-Lasinio model formulated on the level of constituent nucleons. The model parameters are chosen to reproduce simultaneously the observed nucleon and pion masses in vacuum as well as saturation properties of nuclear matter. The strongest constraints on these parameters are given by the empirical values of the nucleon effective mass and compression modulus at nuclear saturation density. A preferable value of the cut-off momentum, determining density of active quasinucleon states in the Dirac sea, is estimated to about 400 MeV/c. With the most reasonable choice of model parameters we have found a first order phase transition of the liquid-gas type at subsaturation densities and the gradual restoration of chiral symmetry at about 3 times the saturation density. Fluctuations of the scalar condensate around its mean-field value are estimated and shown to be large in the vicinity of chiral transition.

22 pages, 13 figures, dedicated to S.T. Belyaev on the occasion of his 80th birthday

References in corpus (7)

• The equation of state for nucleon matter and neutron star structure
• Lattice Results on QCD Thermodynamics
• Nuclei in a chiral SU(3) model
• Chiral Lagrangian for strange hadronic matter
• New QCD Sum Rules for Nucleons in Nuclear Matter
• An Effective Lagrangian with Broken Scale and Chiral Symmetry IV: Nucleons and Mesons at Finite Temperature
• Constraints on possible phase transitions above the nuclear saturation density

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• Symmetry energy and neutron star properties in the saturated Nambu-Jona-Lasinio model
• Effects of the Regularization on the Restoration of Chiral and Axial Symmetries
• Quark-Hadron Phase-Transition in an Extended NJL Model with Scalar-Vector Interaction
• Saturation properties of nuclear matter in a relativistic mean field model constrained by the quark dynamics
• Neutron star equation of state: identifying hadronic matter characteristics
• In-medium omega meson mass and quark condensate in a Nambu Jona-Lasinio model constrained by recent experimental data
• Symmetry potentials and in-medium nucleon-nucleon cross sections within the Nambu-Jona-Lasinio model in relativistic impulse approximation