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Observability of dynamical tides in merging eccentric neutron star binaries

Abstract:
While dynamical tides only become relevant during the last couple of orbits for circular inspirals, orbital eccentricity can increase their impact during earlier phases of the inspiral by exciting tidal oscillations at each close encounter. We investigate the effect of dynamical tides on the orbital evolution of eccentric neutron star binaries using post-Newtonian numerical simulations and construct an analytic stochastic model that reproduces the numerical results. Our study reveals a strong dependence of dynamical tides on the pericenter distance, with the fractional energy transferred to dynamical tides over that dissipated in gravitational waves (GWs) exceeding ∼1% at separations rp≲50 km for large eccentricities. We demonstrate that the effect of dynamical tides on orbital evolution can manifest as a phase shift in the GW signal. We show that the signal-to-noise ratio of the GW phase shift can reach the detectability threshold of 8 with a single advanced Laser Interferometer Gravitational Wave Observatory detector at design sensitivity for eccentric neutron star binaries at a distance of 40 Mpc. This requires a pericenter distance of rp0≲68 km (rp0≲76 km) at binary formation with eccentricity close to 1 for a reasonable tidal deformability and f-mode frequency of 500 and 1.73 kHz (700 and 1.61 kHz), respectively. The observation of the phase shift will enable measuring the f-mode frequency of neutron stars independently from their tidal deformability, providing significant insights into neutron star seismology and the properties of the equation of state. We also explore the potential of distinguishing between equal-radius and twin-star binaries, which could provide an opportunity to reveal strong first-order phase transitions in the nuclear equation of state.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1103/physrevd.110.103043

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Theoretical Physics
Oxford college:
St Hugh's College
Role:
Author
ORCID:
0000-0002-4865-7517


More from this funder
Funder identifier:
https://ror.org/057g20z61
Grant:
ST/W000903/1


Publisher:
American Physical Society
Journal:
Physical Review D More from this journal
Volume:
110
Issue:
10
Article number:
103043
Publication date:
2024-11-26
Acceptance date:
2024-10-28
DOI:
EISSN:
2470-0029
ISSN:
2470-0010


Language:
English
Pubs id:
2068015
Local pid:
pubs:2068015
Deposit date:
2025-02-26

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