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.

16 pages, 19 figures, accepted for publication in PRD

References in corpus (19)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Advanced Virgo: a 2nd generation interferometric gravitational wave detector
• Advanced LIGO
• GWTC-2: Compact Binary Coalescences Observed by LIGO and Virgo During the First Half of the Third Observing Run
• Exploring the Sensitivity of Next Generation Gravitational Wave Detectors
• Robust parameter estimation for compact binaries with ground-based gravitational-wave observations using the LALInference software library
• Constraints on a phenomenologically parameterized neutron-star equation of state
• Observation of gravitational waves from two neutron star-black hole coalescences
• Use and Abuse of the Fisher Information Matrix in the Assessment of Gravitational-Wave Parameter-Estimation Prospects
• An improved effective-one-body model of spinning, nonprecessing binary black holes for the era of gravitational-wave astrophysics with advanced detectors
• 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
• 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
• Systematic bias due to eccentricity in parameter estimation for merging binary neutron stars
• 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

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