# Dynamical tides in coalescing superfluid neutron star binaries with hyperon cores and their detectability with third generation gravitational-wave detectors

## TL;DR

This paper studies how hyperons in neutron star cores affect dynamical tides and gravitational wave signals, finding hyperonic modes produce smaller phase shifts than muonic modes, impacting detectability with future detectors.

## Contribution

It extends previous models of dynamical tides in superfluid neutron stars by including hyperons, revealing new deep-core g-modes and their influence on gravitational wave phase shifts.

## Key findings

- Hyperonic modes induce phase shifts of ~10^{-3} rad.
- Muonic modes produce larger, more detectable phase shifts.
- Hyperonic mode signals are challenging to detect with third-generation detectors.

## Abstract

The dynamical tide in a coalescing neutron star binary induces phase shifts in the gravitational waveform as the orbit sweeps through resonances with individual g-modes. Unlike the phase shift due to the equilibrium tide, the phase shifts due to the dynamical tide are sensitive to the stratification, composition, and superfluid state of the core. We extend our previous study of the dynamical tide in superfluid neutron stars by allowing for hyperons in the core. Hyperon gradients give rise to a new type of composition g-mode. Compared to g-modes due to muon-to-electron gradients, those due to hyperon gradients are concentrated much deeper in the core and therefore probe higher density regions. We find that the phase shifts due to resonantly excited hyperonic modes are ~ 10^{-3} rad, an order of magnitude smaller than those due to muonic modes. We show that by stacking events, third generation gravitational-wave detectors should be able to detect the phase shifts due to muonic modes. Those due to hyperonic modes will, however, be difficult to detect due to their smaller magnitude.