Vetting quark-star models with gravitational waves in the hierarchical Bayesian framework

Abstract

The recent discovery of gravitational waves (GWs) has opened a new avenue for investigating the equation of state (EOS) of dense matter in compact stars, which is an outstanding problem in astronomy and nuclear physics. In the future, next-generation (XG) GW detectors will be constructed, deemed to provide a large number of high-precision observations. We investigate the potential of constraining the EOS of quark stars (QSs) with high-precision measurements of mass $m$ and tidal deformability $\Lambda$ from the XG GW observatories. We adopt the widely-used bag model for QSs, consisting of four microscopic parameters: the effective bag constant $B_{\mathrm{eff}}$, the perturbative quantum chromodynamics correction parameter $a_4$, the strange quark mass $m_s$, and the pairing energy gap $\Delta$. With the help of hierarchical Bayesian inference, for the first time we are able to infer the EOS of QSs combining multiple GW observations. Using the top 25 loudest GW events in our simulation, we find that, the constraints on $B_{\mathrm{eff}}$ and $\Delta$ are tightened by several times, while $a_4$ and $m_s$ are still poorly constrained. We also study a simplified 2-dimensional (2-d) EOS model which was recently proposed in literature. The 2-d model is found to exhibit significant parameter-estimation biases as more GW events are analyzed, while the predicted $m$-$\Lambda$ relation remains consistent with the full model.

19 pages, 4 figures; accepted by JCAP

References in corpus (36)

• Tidal Love numbers of neutron stars
• Neutron-star radius constraints from GW170817 and future detections
• Scientific Objectives of Einstein Telescope
• Cold Quark Matter
• Modeling GW170817 based on numerical relativity and its implications
• Post-1-Newtonian tidal effects in the gravitational waveform from binary inspirals
• Markov Chain Monte Carlo Methods for Bayesian Data Analysis in Astronomy
• Quark matter in compact stars?
• Reconstructing the neutron-star equation of state with gravitational-wave detectors from a realistic population of inspiralling binary neutron stars
• LISA detections of massive black hole inspirals: parameter extraction errors due to inaccurate template waveforms
• Neutron-star Radius from a Population of Binary Neutron Star Mergers
• Conservative self-force correction to the innermost stable circular orbit: comparison with multiple post-Newtonian-based methods
• New and Robust Gravitational-Waveform Model for High-Mass-Ratio Binary Neutron Star Systems with Dynamical Tidal Effects
• Bayesian inference of strange star equation of state using the GW170817 and GW190425 data
• Probing the equation of state of neutron star matter with gravitational waves from binary inspirals in light of GW170817: a brief review
• Importance nested sampling with normalising flows
• Hierarchical Inference of Binary Neutron Star Mass Distribution and Equation of State with Gravitational Waves
• Accumulating errors in tests of general relativity with gravitational waves: overlapping signals and inaccurate waveforms
• Nuclear physics constraints from binary neutron star mergers in the Einstein Telescope era
• Colour-Flavour Locked Quark Stars in Light of the Compact Object in HESS J1731-347 and the GW190814 Event
• First constraint on the dissipative tidal deformability of neutron stars
• Systematic challenges for future gravitational wave measurements of precessing binary black holes
• Neutron stars as extreme laboratories for gravity tests
• Rotation and deformation of strangeon stars in the Lennard-Jones model
• Oscillation Modes and Gravitational Waves from Strangeon Stars
• Constraints on Density Dependent MIT Bag Model Parameters for Quark and Hybrid Stars
• Precision constraints on the neutron star equation of state with third-generation gravitational-wave observatories
• Inferring the neutron star equation of state simultaneously with the population of merging neutron stars
• Constraints from compact star observations on non-Newtonian gravity in strange stars based on a density dependent quark mass model
• Needle in a Bayes Stack: a Hierarchical Bayesian Method for Constraining the Neutron Star Equation of State with an Ensemble of Binary Neutron Star Post-merger Remnants
• Fluid pulsation modes and tidal deformability of anisotropic strange stars in light of the GW$170817$ event
• Looking inside neutron stars: Microscopic calculations confront observations
• A Bayesian study of quark models in view of recent astrophysical constraints
• Radial and Non-Radial Oscillations of Inverted Hybrid Stars
• Anatomy of parameter-estimation biases in overlapping gravitational-wave signals
• Determining the equation of state of neutron stars with Einstein Telescope using tidal effects and r-mode excitations from a population of binary inspirals

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