Measurability of neutron star tidal deformability from merging neutron star-black hole binaries

Abstract

The neutron star-black hole binary (NSBH) system has been considered one of the promising detection candidates for ground-based gravitational-wave (GW) detectors such as LIGO and Virgo. The tidal effects of neutron stars (NSs) are imprinted on the GW signals emitted from NSBHs as well as binary neutron stars. In this work, we study how accurately the parameter ${\lambda }_{\mathrm{NS}}$ can be measured in GW parameter estimation for NSBH signals. We set the parameter range for the NSBH sources to $[4M_{\odot },10M_{\odot }]$ for the black hole mass, $[1M_{\odot },2M_{\odot }]$ for the NS mass, and $[-0.9,0.9]$ for the dimensionless black hole spin. For realistic populations of sources distributed in different parameter spaces, we calculate the measurement errors of ${\lambda }_{\mathrm{NS}}$ (${\sigma }_{{\lambda }_{\mathrm{NS}}}$) using the Fisher matrix method. In particular, we perform a single-detector analysis using the advanced LIGO and the Cosmic Explorer detectors and a multi-detector analysis using the 2G (advanced LIGO-Hanford, advanced LIGO-Livingstone, advanced Virgo, and KAGRA) and the 3G (Einstein Telescope and Cosmic Explorer) networks. We show the distribution of ${\sigma }_{{\lambda }_{\mathrm{NS}}}$ for the population of sources as a one-dimensional probability density function. Our result shows that the probability density function curves are similar in shape between advanced LIGO and Cosmic Explorer, but Cosmic Explorer can achieve $\sim 15$ times better accuracy overall in the measurement of ${\lambda }_{\mathrm{NS}}$. In the case of the network detectors, the probability density functions are maximum at ${\sigma }_{{\lambda }_{\mathrm{NS}}}\sim 130$ and $\sim 4$ for the 2G and the 3G networks, respectively, and the 3G network can achieve $\sim 10$ times better accuracy overall.

arXiv comment16 pages, 19 figures, accepted for publication in PRD

References in corpus (51)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Advanced Virgo: a 2nd generation interferometric gravitational wave detector
• GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs
• Advanced LIGO
• GWTC-2: Compact Binary Coalescences Observed by LIGO and Virgo During the First Half of the Third Observing Run
• dynesty: A Dynamic Nested Sampling Package for Estimating Bayesian Posteriors and Evidences
• GW190425: Observation of a Compact Binary Coalescence with Total Mass $\sim 3.4M_{\odot }$
• Gravitational Waves from Mergin Compact Binaries: How Accurately Can One Extract the Binary's Parameters from the Inspiral Waveform?
• Properties of the binary neutron star merger GW170817
• Exploring the Sensitivity of Next Generation Gravitational Wave Detectors
• Bilby: A user-friendly Bayesian inference library for gravitational-wave astronomy
• Frequency-domain gravitational waves from non-precessing black-hole binaries. II. A phenomenological model for the advanced detector era
• Interferometer design of the KAGRA gravitational wave detector
• Robust parameter estimation for compact binaries with ground-based gravitational-wave observations using the LALInference software library
• An increased estimate of the merger rate of double neutron stars from observations of a highly relativistic system
• Constraints on a phenomenologically parameterized neutron-star equation of state
• Frequency-domain gravitational waves from non-precessing black-hole binaries. I. New numerical waveforms and anatomy of the signal
• Observation of gravitational waves from two neutron star-black hole coalescences
• A simple model of complete precessing black-hole-binary gravitational waveforms
• Detection, Measurement and Gravitational Radiation
• Use and Abuse of the Fisher Information Matrix in the Assessment of Gravitational-Wave Parameter-Estimation Prospects
• FINDCHIRP: an algorithm for detection of gravitational waves from inspiraling compact binaries
• An improved effective-one-body model of spinning, nonprecessing binary black holes for the era of gravitational-wave astrophysics with advanced detectors
• Gravitational waves from inspiralling compact binaries: Parameter estimation using second-post-Newtonian waveforms
• Matching post-Newtonian and numerical relativity waveforms: systematic errors and a new phenomenological model for non-precessing black hole binaries
• Improving the NRTidal model for binary neutron star systems
• Closed-form tidal approximants for binary neutron star gravitational waveforms constructed from high-resolution numerical relativity simulations
• Frequency domain reduced order models for gravitational waves from aligned-spin compact binaries
• Fast and Accurate Inference on Gravitational Waves from Precessing Compact Binaries
• Degeneracy between mass and spin in black-hole-binary waveforms
• PALFA Discovery of a Highly Relativistic Double Neutron Star Binary
• Extracting equation of state parameters from black hole-neutron star mergers. I. Nonspinning black holes
• Extracting equation of state parameters from black hole-neutron star mergers: aligned-spin black holes and a preliminary waveform model
• Modeling the gravitational wave signature of neutron star black hole coalescences: PhenomNSBH
• Inadequacies of the Fisher Information Matrix in gravitational-wave parameter estimation
• An aligned-spin neutron-star--black-hole waveform model based on the effective-one-body approach and numerical-relativity simulations
• Gwbench: a novel Fisher information package for gravitational-wave benchmarking
• Gravitational waves from BH-NS binaries: Effective Fisher matrices and parameter estimation using higher harmonics
• Accelerating parameter estimation of gravitational waves from compact binary coalescence using adaptive frequency resolutions
• Multiparameter tests of general relativity using multiband gravitational-wave observations
• Aligned spin neutron star-black hole mergers: a gravitational waveform amplitude model
• A brief overview of black hole-neutron star mergers
• Parameter estimation on compact binary coalescences with abruptly terminating gravitational waveforms
• Measuring neutron star tidal deformability with Advanced LIGO: a Bayesian analysis of neutron star - black hole binary observations
• Application of the effective Fisher matrix to the frequency domain inspiral waveforms
• Systematic bias due to eccentricity in parameter estimation for merging binary neutron stars
• Computational Resources to Filter Gravitational Wave Data with P-approximant Templates
• The failure of the Fisher Matrix when including tidal terms: Considering construction of template banks of tidally deformed binary neutron stars
• Improvement of the parameter measurement accuracy by the third-generation gravitational wave detector Einstein Telescope
• Parameter estimation using a complete signal and inspiral templates for low mass binary black holes with Advanced LIGO sensitivity

Cited by in corpus (2)

• Impact of unmodeled eccentricity on the tidal deformability measurement and implications for gravitational wave physics inference
• Systematic bias due to eccentricity in parameter estimation for merging binary neutron stars : Spinning case