Neutron stars within the SU(2) parity doublet model

Abstract

The equation of state of beta-stable and charge neutral nucleonic matter is computed within the SU(2) parity doublet model in mean field and in the relativistic Hartree approximation. The mass of the chiral partner of the nucleon is assumed to be 1200 MeV. The transition to the chiral restored phase turns out to be a smooth crossover in all the cases considered, taking place at a baryon density of just $2{\rho }_0$. The mass-radius relations of compact stars are calculated to constrain the model parameters from the maximum mass limit of neutron stars. It is demonstrated that chiral symmetry starts to be restored, which in this model implies the appearance of the chiral partners of the nucleons, in the center of neutron stars. However, the analysis of the decay width of the assumed chiral partner of the nucleon poses limits on the validity of the present version of the model to describe vacuum properties.

14 pages, 9 figures, 2 tables, version accepted for publication in EJPA

References in corpus (21)

• Determination of the Equation of State of Dense Matter
• Recent Progress in Quantum Hadrodynamics
• A Chiral Effective Lagrangian for Nuclei
• Nuclei in a chiral SU(3) model
• The outer crust of non-accreting cold neutron stars
• Analysis of Chiral Mean-Field Models for Nuclei
• Chiral Lagrangian for strange hadronic matter
• The Nuclear Spin-Orbit Force in Chiral Effective Field Theories
• Cold, dense nuclear matter in a SU(2) parity doublet model
• Chiral Symmetry Realization for Even- and Odd-parity Baryon Resonances
• Chiral Symmetry for Positive and Negative Parity Nucleons
• Nuclear Matter and Neutron stars in a Parity Doublet Model
• Effects of Dirac sea polarization on hadronic properties - A chiral SU(3) approach
• An Effective Lagrangian with Broken Scale and Chiral Symmetry II: Pion Phenomenology
• Medium effects to N(1535) resonance and eta mesic nuclei
• Softening of the equation of state of matter at large densities and temperatures: chiral symmetry restoration vs. quark deconfinement
• Decays of 1/2^- Baryons in Chiral Effective Theory
• eta-Nucleus interactions and in-medium properties of N*(1535) in chiral models
• An Effective Lagrangian with Broken Scale and Chiral Symmetry III: Mesons at Finite Temperature
• Properties of $N^{\ast }$(1535) at Finite Density in the Extended Parity-Doublet Models
• An Effective Lagrangian with Broken Scale and Chiral Symmetry IV: Nucleons and Mesons at Finite Temperature

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• Nuclear matter within a dilatation-invariant parity doublet model: the role of the tetraquark at nonzero density
• Thermodynamics of dense hadronic matter in a parity doublet model
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• Chiral symmetry restoration by parity doubling and the structure of neutron stars
• Dilaton-Limit Fixed Point in Hidden Local Symmetric Parity Doublet Model
• Quark-hadron crossover equations of state for neutron stars: constraining the chiral invariant mass in a parity doublet model
• Conformal anomaly and the vector coupling in dense matter
• The slope, the hill, the drop, and the swoosh: Learning about the nuclear matter equation of state from the binary Love relations
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• Modelling Hybrid Stars in Quark-Hadron Approaches
• Chiral condensates for neutron stars in hadron-quark crossover: from a parity doublet nucleon model to an NJL quark model
• Chiral partner structure of light nucleons in an extended parity doublet model
• Neutron star matter based on a parity doublet model including the $a_0(980)$ meson
• Compactness in the Thermal Evolution of Twin Stars
• Compact Stars in Hadron and Quark-Hadron Models
• Chiral, parity-doublet, effective-Lagrangian mean-field theories for nuclear and astrophysical phenomenology
• Parity-doubled nucleons can rapidly cool neutron stars
• Structure and Cooling of Neutron and Hybrid Stars