# The sum of Love: Exploring the effective tidal deformability of neutron stars

## TL;DR

This paper investigates how the composition of neutron star matter affects the tidal deformability during binary inspiral, providing insights into systematic effects on gravitational-wave signals.

## Contribution

It offers the first detailed analysis of composition effects on tidal deformability, enhancing understanding of neutron star physics in gravitational-wave observations.

## Key findings

- Composition impacts tidal deformability estimates
- Systematic effects may influence gravitational-wave signal interpretation
- Provides a framework for incorporating matter composition into models

## Abstract

Finite size effects come into play during the late stages of neutron star binary inspiral, with the tidal deformability of the supranuclear density matter leaving an imprint on the gravitational-wave signal. As demonstrated in the case of GW170817, this leads to a constraint on the neutron star radius (and hence the equation of state). A deeper understanding of the tidal response requires an analysis of both the state and composition of matter. While these aspects may not have dramatic impact, they could lead to systematic effects that need to be kept in mind as the observational data become more precise. As a step in this direction we explore the role of the composition of matter, which is likely to remain "frozen" during the late stages of binary inspiral. We provide the first in-depth analysis of the problem, including estimates of how composition impacts on the effective tidal deformability. The results provide improved insight into how aspects of physics that tend to be "ignored" impact on binary neutron star gravitational-wave signals.