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 $\lambda_{\rm NS}$ 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
    $\lambda_{\rm NS}$ ($\sigma_{\lambda_{\rm NS}}$) 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 $\sigma_{\lambda_{\rm NS}}$ 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 $\lambda_{\rm NS}$. In the case of the
    network detectors, the probability density functions are maximum at
    $\sigma_{\lambda_{\rm NS}} \sim 130$ and $\sim 4$ for the 2G and the 3G
    networks, respectively, and the 3G network can achieve $\sim 10$ times better
    accuracy overall.

    Source link


    Leave A Reply