A more stringent constraint on the mass ratio of binary neutron star merger GW170817

TL;DR

This paper demonstrates that combining kilonova modeling with gravitational wave data can significantly tighten constraints on the neutron star mass ratio in GW170817, leading to more precise individual mass estimates.

Contribution

It introduces a multi-messenger approach using kilonova ejecta modeling to improve mass ratio constraints beyond GW-only analysis.

Findings

Mass ratio constrained to 0.46-0.59 using red kilonova component.

Mass ratio constrained to 0.53-0.67 using blue kilonova component.

Overall mass ratio narrowed to 0.46-0.67, refining individual neutron star masses.

Abstract

Recently, the LIGO-Virgo collaboration reported their first detection of gravitational wave (GW) signals from a low mass compact binary merger GW170817, which is most likely due to a double neutron star (NS) merger. With the GW signals only, the chirp mass of the binary is precisely constrained to $1.188^{+0.004}_{-0.002}~\rm{M_{\odot}}$, but the mass ratio is loosely constrained in the range $0.4-1$, so that a very rough estimation of the individual NS masses ($0.86~{\rm M_{\odot}}<M_1<1.36~\rm{M_{\odot}}$ and $1.36~{\rm M_{\odot}}<M_2<2.26~\rm{M_{\odot}}$) was obtained. Here we propose that if one can constrain the dynamical ejecta mass through performing kilonova modeling of the optical/IR data, by utilizing an empirical relation between the dynamical ejecta mass and the mass ratio of NS binaries, one may place a more stringent constraint on the mass ratio of the system. For instance, considering that the red "kilonova" component is powered by the dynamical ejecta, we reach a tight constraint on the mass ratio in the range of $0.46-0.59$. Alternatively, if the blue "kilonova" component is powered by the dynamical ejecta, the mass ratio would be constrained in the range of $0.53-0.67$. Overall, such a multi-messenger approach could narrow down the mass ratio of GW170817 system to the range of $0.46-0.67$, which gives a more precise estimation of the individual NS mass than pure GW signal analysis, i.e. $0.90~{\rm M_{\odot}}<M_1<1.16~{\rm M_{\odot}}$ and $1.61~{\rm M_{\odot}}<M_2<2.11~{\rm M_{\odot}}$.