Bayesian Analysis for Extracting Properties of the Nuclear Equation of State from Observational Data including Tidal Deformability from GW170817

Abstract

We develop a Bayesian analysis method for selecting the most probable equation of state under a set of constraints from compact star physics, which now include the tidal deformability from GW170817. We apply this method for the first time to a two-parameter family of hybrid equations of state that is based on realistic models for the hadronic phase (KVORcut02) and the quark matter phase (SFM$\alpha$) which produce a third family of hybrid stars in the mass-radius diagram. One parameter ($\alpha$) characterizes the screening of the string tension in the string-flip model of quark matter while the other (${\Delta }_P$) belongs to the mixed phase construction that mimics the thermodynamics of pasta phases and includes the Maxwell construction as a limiting case for ${\Delta }_P=0$. We present the corresponding results for compact star properties like mass, radius and tidal deformabilities and use empirical data for them in the newly developed Bayesian analysis method to obtain the probabilities for the model parameters within their considered range.

arXiv comment8 pages, 4 figures, version accepted for publication in universe

References in corpus (30)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• A Massive Pulsar in a Compact Relativistic Binary
• GW170817: Measurements of Neutron Star Radii and Equation of State
• Tidal deformability of neutron stars with realistic equations of state and their gravitational wave signatures in binary inspiral
• Gravitational-wave constraints on the neutron-star-matter Equation of State
• The Equation of State from Observed Masses and Radii of Neutron Stars
• Using gravitational-wave observations and quasi-universal relations to constrain the maximum mass of neutron stars
• New constraints on radii and tidal deformabilities of neutron stars from GW170817
• Tidal Deformabilities and Radii of Neutron Stars from the Observation of GW170817
• Neutron-star radius constraints from GW170817 and future detections
• Generic conditions for stable hybrid stars
• A new quark-hadron hybrid equation of state for astrophysics - I. High-mass twin compact stars
• Implications from GW170817 and I-Love-Q relations for relativistic hybrid stars
• Constraining twin stars with GW170817
• The equation of state for dense nucleonic matter from a meta-modeling. II. Predictions for neutron stars properties
• Third family of compact stars within a nonlocal chiral quark model equation of state
• New class of hybrid EoS and Bayesian M-R data analysis
• Signals in the tidal deformability for phase transitions in compact stars with constraints from GW170817
• Quark-Nuclear Hybrid EoS with Excluded Volume Effects
• High-mass twin stars with a multi-polytrope EoS
• Hybrid equation of state with pasta phases and third family of compact stars
• From Neutron Star Observables to the Equation of State. II. Bayesian Inference of Equation of State Pressures
• Relativistic Mean-Field Models with Effective Hadron Masses and Coupling Constants, and rho^- Condensation
• Relativistic Mean-Field Models with Scaled Hadron Masses and Couplings: Hyperons and Maximum Neutron Star Mass
• Robustness of third family solutions for hybrid stars against mixed phase effects
• Bayesian parameter constraints for neutron star masses and radii using X-ray timing observations of accretion-powered millisecond pulsars
• Two novel approaches to the hadron-quark mixed phase in compact stars
• High-mass twins & resolution of the reconfinement, masquerade and hyperon puzzles of compact star interiors
• Mass-radius constraints for compact stars and a critical endpoint
• Model of the Phase Transition Mimicking the Pasta Phase in Cold and Dense Quark-Hadron Matter

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• Third family of compact stars within a nonlocal chiral quark model equation of state
• Combining Electromagnetic and Gravitational-Wave Constraints on Neutron-Star Masses and Radii
• Was GW170817 a canonical neutron star merger? Bayesian analysis with a third family of compact stars
• What neutron stars tell about the hadron-quark phase transition: a Bayesian study
• First-order phase transition from hypernuclear matter to deconfined quark matter obeying new constraints from compact star observations
• A Bayesian analysis of the properties of hybrid stars with the NJL model
• Neutron stars with crossover to color superconducting quark matter
• Constraining free parameters of a color superconducting non-local Nambu-Jona-Lasinio model using Bayesian analysis of neutron stars mass and radius measurements
• Properties of Hybrid Stars with Density Dependent Bag Model
• Studying VLOCV twin compact stars with binary mergers
• Studying the parameters of the extended $\sigma$-$\omega$ model for neutron star matter
• Studying the Landau mass parameter of the extended $\sigma$-$\omega$ model for neutron star matter
• On the nature of compact stars determined by gravitational waves, radio-astronomy, x-ray emission and nuclear physics
• Compact star properties from an extended linear sigma model
• Study of hybrid stars with nonstrange quark matter cores
• Bayesian analysis of multimessenger M-R data with interpolated hybrid EoS
• Properties of the Object HESS J1731-347 as a Twin Compact Star