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Detecting resonant tidal excitations of Rossby modes in coalescing neutron-star binaries with third-generation gravitational-wave detectors

Ma, Sizheng and Yu, Hang and Chen, Yanbei (2021) Detecting resonant tidal excitations of Rossby modes in coalescing neutron-star binaries with third-generation gravitational-wave detectors. Physical Review D, 103 (6). Art. No. 063020. ISSN 2470-0010. doi:10.1103/PhysRevD.103.063020.

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Rossby modes (r-modes) of rotating neutron stars can be excited by the gravitomagnetic forces in coalescing binary systems. A previous study by Flanagan and Racine [Phys. Rev. D 75, 044001 (2007)] showed that this kind of dynamical tide (DT) can induce phase shifts of ∼0.1  rad on gravitational waveforms, which is detectable by third-generation (3G) detectors. We study the impact of this DT on measuring neutron-star parameters in the era of 3G detectors. We incorporate two universal relations among neutron-star properties predicted by different equations of state: (i) the well-known I-Love relation between momentum of inertia and (f-mode) tidal Love number, and (ii) a relation between the r-mode overlap and tidal Love number, which we newly explore. We find that r-mode DT will provide rich information about slowly rotating neutron stars with frequency 10–100 Hz and spin inclination angle 18°–110°. For a binary neutron-star system (with a signal-to-noise ratio ∼1500 in the Cosmic Explorer), the spin frequency of each individual neutron star can be constrained to 6% (fractional error) in the best-case scenario. The degeneracy between the Love numbers of individual neutron stars is dramatically reduced: each individual Love number can be constrained to around 20% in the best case, while the fractional error for both symmetric and antisymmetric Love numbers are reduced by factors of around 300. Furthermore, DT also allows us to measure the spin inclination angles of the neutron stars, to 0.09 rad in the best case, and thus place constraints on neutron-star natal kicks and supernova explosion models. In addition to parameter estimation, we also develop a semianalytic method that accurately describes detailed features of the binary evolution that arise due to the DT.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Ma, Sizheng0000-0002-4645-453X
Yu, Hang0000-0002-6011-6190
Chen, Yanbei0000-0002-9730-9463
Alternate Title:Revisiting the tidal excitation of Rossby modes in coalescing binary systems
Additional Information:© 2021 American Physical Society. Received 6 October 2020; accepted 12 February 2021; published 15 March 2021. We thank the LIGO Extreme Matter working group for the useful comments during the preparation of this work. We also thank Chris van den Broeck for useful comments. The research of S. M. and Y. C. is supported by the Simons Foundation (Grant No. 568762), the Brinson Foundation, and the National Science Foundation (Grants No. PHY-2011968, No. PHY-2011961, and No. PHY-1836809). H. Y. is supported by the Sherman Fairchild Foundation. The computations presented here were conducted on the Caltech High Performance Cluster, which is partially supported by a grant from the Gordon and Betty Moore Foundation.
Group:LIGO, Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Simons Foundation568762
Brinson FoundationUNSPECIFIED
Sherman Fairchild FoundationUNSPECIFIED
Gordon and Betty Moore FoundationUNSPECIFIED
Issue or Number:6
Record Number:CaltechAUTHORS:20210105-133430956
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:107328
Deposited By: George Porter
Deposited On:06 Jan 2021 18:16
Last Modified:05 Apr 2021 14:39

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