Dynamical tides in neutron stars with first-order phase transitions: the role of the discontinuity mode

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Main Authors: Pereira, Jonas P., Tonetto, Lucas, Bejger, Michał, Zdunik, J. Leszek, Haensel, Paweł
Format: Preprint
Published: 2025
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author Pereira, Jonas P.
Tonetto, Lucas
Bejger, Michał
Zdunik, J. Leszek
Haensel, Paweł
author_facet Pereira, Jonas P.
Tonetto, Lucas
Bejger, Michał
Zdunik, J. Leszek
Haensel, Paweł
contents During the late stages of a binary neutron star inspiral, dynamical tides induced in each star by its companion become significant and should be included in complete gravitational-wave (GW) modeling. We investigate the coupling between the tidal field and quasi-normal modes in hybrid stars and show that the discontinuity mode ($g$-mode) - intrinsically associated with first-order phase transitions and buoyancy - contributes non-negligibly compared with the fundamental $f$-mode. We find that the $g$-mode overlap integral can reach up to $\sim 10\%$ of the $f$-mode value for hybrid star masses in the range 1.4-2.0$M_{\odot}$, with the largest values generally associated with larger density jumps. This leads to a GW phase shift due to the $g$-mode of $Δϕ_g \lesssim 0.1$-$1$ rad (i.e., up to $\sim5\%-10\%$ of $Δϕ_f$), with the largest shifts occurring for masses near the phase transition. At higher masses, the shifts remain smaller and nearly constant, with $Δϕ_g \lesssim 0.1$ rad (roughly $\sim 1\%$ of $Δϕ_f$). These GW shifts may be relevant even at the design sensitivity of current second-generation GW detectors in the most optimistic cases. Moreover, if a $g$-mode is present and lies near the $f$-mode frequency, neglecting it in the GW modeling can lead to systematic biases in neutron star parameter estimation, resulting in radius errors of up to $1\%-2\%$. These results show the importance of dynamical tides to probe neutron stars' equation of state, and to test the existence of dense-matter phase transitions.
format Preprint
id arxiv_https___arxiv_org_abs_2504_16911
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Dynamical tides in neutron stars with first-order phase transitions: the role of the discontinuity mode
Pereira, Jonas P.
Tonetto, Lucas
Bejger, Michał
Zdunik, J. Leszek
Haensel, Paweł
High Energy Astrophysical Phenomena
General Relativity and Quantum Cosmology
During the late stages of a binary neutron star inspiral, dynamical tides induced in each star by its companion become significant and should be included in complete gravitational-wave (GW) modeling. We investigate the coupling between the tidal field and quasi-normal modes in hybrid stars and show that the discontinuity mode ($g$-mode) - intrinsically associated with first-order phase transitions and buoyancy - contributes non-negligibly compared with the fundamental $f$-mode. We find that the $g$-mode overlap integral can reach up to $\sim 10\%$ of the $f$-mode value for hybrid star masses in the range 1.4-2.0$M_{\odot}$, with the largest values generally associated with larger density jumps. This leads to a GW phase shift due to the $g$-mode of $Δϕ_g \lesssim 0.1$-$1$ rad (i.e., up to $\sim5\%-10\%$ of $Δϕ_f$), with the largest shifts occurring for masses near the phase transition. At higher masses, the shifts remain smaller and nearly constant, with $Δϕ_g \lesssim 0.1$ rad (roughly $\sim 1\%$ of $Δϕ_f$). These GW shifts may be relevant even at the design sensitivity of current second-generation GW detectors in the most optimistic cases. Moreover, if a $g$-mode is present and lies near the $f$-mode frequency, neglecting it in the GW modeling can lead to systematic biases in neutron star parameter estimation, resulting in radius errors of up to $1\%-2\%$. These results show the importance of dynamical tides to probe neutron stars' equation of state, and to test the existence of dense-matter phase transitions.
title Dynamical tides in neutron stars with first-order phase transitions: the role of the discontinuity mode
topic High Energy Astrophysical Phenomena
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2504.16911