Asymmetric nuclear matter in a parity doublet model with hidden local symmetry

Abstract

We construct a model to describe dense hadronic matter at zero and finite temperature, based on the parity doublet model of DeTar and Kunihiro, with including the iso-singlet scalar meson $\sigma$ as well as $\rho$ and $\omega$ mesons. We show that, by including a six-point interaction of $\sigma$ meson, the model reasonably reproduces the properties of the normal nuclear matter with the chiral invariant nucleon mass $m_0$ in the range from $500\mathrm{MeV}$ to $900\mathrm{MeV}$. Furthermore, we study the phase diagram based on the model, which shows that the value of the chiral condensate drops at the liquid-gas phase transition point and at the chiral phase transition point. We also study asymmetric nuclear matter and find that the first order phase transition for the liquid-gas phase transition disappears in asymmetric matter and that the critical density for the chiral phase transition at non-zero density becomes smaller for larger asymmetry.

8 pages, 9 figures

References in corpus (12)

• Shapiro delay measurement of a two solar mass neutron star
• A Massive Pulsar in a Compact Relativistic Binary
• Isospin-dependent properties of asymmetric nuclear matter in relativistic mean-field models
• Cold, dense nuclear matter in a SU(2) parity doublet model
• Thermodynamics of isospin-asymmetric nuclear matter from chiral effective field theory
• Nucleons and parity doubling across the deconfinement transition
• Nuclear Matter and Neutron stars in a Parity Doublet Model
• An effective model for the QCD phase transitions at finite baryon density
• From asymmetric nuclear matter to neutron stars: a functional renormalization group study
• Properties of asymmetric nuclear matter in different approaches
• Neutron stars within the SU(2) parity doublet model
• The asymmetry term in the nuclear-matter incompressibility from measurements on the giant monopole resonance: An Update

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