The Vlasov formalism for extended relativistic mean field models: the crust-core transition and the stellar matter equation of state

Abstract

The Vlasov formalism is extended to relativistic mean-field hadron models with non-linear terms up to fourth order and applied to the calculation of the crust-core transition density. The effect of the nonlinear $\omega \rho$ and $\sigma \rho$ coupling terms on the crust-core transition density and pressure, and on the macroscopic properties of some families of hadronic stars is investigated. For that purpose, six families of relativistic mean field models are considered. Within each family, the members differ in the symmetry energy behavior. For all the models, the dynamical spinodals are calculated, and the crust-core transition density and pressure, and the neutron star mass-radius relations are obtained. The effect on the star radius of the inclusion of a pasta calculation in the inner crust is discussed. The set of six models that best satisfy terrestrial and observational constraints predicts a radius of 13.6$\pm$0.3 km and a crust thickness of $1.36\pm 0.06$km for a 1.4 $M_{\odot }$ star.

18 pages, 11 figures, accepted for publication in Phys. Rev. C

References in corpus (17)

• Shapiro delay measurement of a two solar mass neutron star
• A Massive Pulsar in a Compact Relativistic Binary
• Relativistic Mean-Field Hadronic Models under Nuclear Matter Constraints
• Constraints on the Symmetry Energy Using the Mass-Radius Relation of Neutron Stars
• Core-crust transition in neutron stars: predictivity of density developments
• Crustal Entrainment and Pulsar Glitches
• Incompressibility in finite nuclei and nuclear matter
• Density dependence of the nuclear symmetry energy: a microscopic perspective
• Equation of state and thickness of the inner crust of neutron stars
• Formation of Nuclear "Pasta" in Supernovae
• Pulsar Glitches: The Crust may be Enough
• A Second Relativistic Mean Field and Virial Equation of State for Astrophysical Simulations
• Asymmetric nuclear matter and neutron-skin in extended relativistic mean field model
• Nuclear symmetry energy and core-crust transition in neutron stars: a critical study
• Equation of State of nuclear matter in a Virial expansion of nucleons and nuclei
• Dynamical instabilities of warm $np{e}^{-}$ matter: the $\delta$ meson effects
• Dynamical instabilities in density-dependent hadronic relativistic models

Cited by in corpus (58)

• Strong correlations of neutron star radii with the slopes of nuclear matter incompressibility and symmetry energy at saturation
• Effects of symmetry energy on equation of state for simulations of core-collapse supernovae and neutron-star mergers
• Relativistic description of dense matter equation of state and compatibility with neutron star observables: a Bayesian approach
• Relativistic hypernuclear compact stars with calibrated equations of state
• Maximum mass of compact stars from gravitational wave events with finite-temperature equations of state
• Spanning the full range of neutron star properties within a microscopic description
• The slope, the hill, the drop, and the swoosh: Learning about the nuclear matter equation of state from the binary Love relations
• Building a realistic neutron star from holography
• Thermal evolution of relativistic hyperonic compact stars with calibrated equations of state
• Nuclear physics constraints from binary neutron star mergers in the Einstein Telescope era
• Broken SU(6) symmetry and massive hybrid stars
• Influence of the crust on the neutron star macrophysical quantities and universal relations
• A Neutron Star is born
• Remarks on nuclear matter: how an ${\omega }_0$ condensate can spike the speed of sound, and a model of $Z(3)$ baryons
• Rotating neutron stars with quark cores
• Bayesian inference of signatures of hyperons inside neutron stars
• Tides in merging neutron stars: Consistency of the GW170817 event with experimental data on finite nuclei
• Delta Baryons in Neutron-Star Matter under Strong Magnetic Fields
• Systematic analysis of the impacts of symmetry energy parameters on neutron star properties
• Heavy Magnetic Neutron Stars
• Limiting magnetic field for minimal deformation of a magnetised neutron star
• Dense Matter in Neutron Stars with eXTP
• Hadron-Quark phase transition in the context of GW190814
• Constraints on Density Dependent MIT Bag Model Parameters for Quark and Hybrid Stars
• Effect of Inner Crust EoS on Neutron star properties
• Crust-core transition of a neutron star: effects of the symmetry energy and temperature under strong magnetic fields
• Radial Oscillations in Neutron Stars with Delta Baryons
• Finding quark content of neutron stars in light of GW170817
• Unified neutron star equations of state calibrated to nuclear properties
• Hybrid Equations of State for Neutron Stars with Hyperons and Deltas
• Hot neutron stars and their equation of state
• Feasibility of dark matter admixed neutron star based on recent observational constraints
• A Detailed Analysis of the Special Points on $M-R$ Solutions of Hybrid (Twin) Stars
• Constraining neutron star matter from the slope of the mass-radius curves
• Modern nuclear and astrophysical constraints of dense matter in a renormalized chiral approach
• Light clusters in warm stellar matter: calibrating the cluster couplings
• Rotating Hybrid Stars with Color-Flavor-Locked Quark Matter
• Nuclear pasta and symmetry energy in the relativistic point-coupling model
• Neutron star inner crust: effects of rotation and magnetic fields
• Standard cooling of rapidly rotating isolated neutron stars in 2D
• Effect of the crust on neutron star empirical relations
• Strong magnetic fields and pasta phases revisited
• Constraining Bag constant for Hybrid Neutron stars
• Strong magnetic fields: neutron stars with an extended inner crust
• Pasta phases in neutron stars under strong magnetic fields
• Crust-core transition of a neutron star: effect of the temperature under strong magnetic fields
• Nuclear pasta in hot and dense matter and its influence on the equation of state for astrophysical simulations
• Critical properties of calibrated relativistic mean-field models for the transition to warm, non-homogeneous nuclear matter
• Non-Radial Oscillation Modes in Hybrid Stars with Hyperons and Delta Baryons
• Neutron star cooling within the equation of state with induced surface tension
• Effect of Dark matter and $\sigma$-cut potential on radial and non-radial oscillation modes in neutron stars
• Strongly interacting matter in extreme magnetic fields
• Neutron stars with Bogoliubov quark-meson coupling model
• Inner crust equations of state for CompOSE
• Rotating Neutron Stars with Dark Matter Halos
• Landau parameters and entrainment matrix of cold stellar matter: effect of the symmetry energy and strong magnetic fields
• Impact of hyperons on structural properties of neutron stars and hybrid stars within the regularized four-dimensional Einstein-Gauss-Bonnet gravity
• Light clusters as a possible source of crustal impurities: a quasi-particle approach