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Journal Article

Eccentric Binary Neutron Star Search Prospects for Cosmic Explorer


Nitz,  Alexander H.
Observational Relativity and Cosmology, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society;

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Lenon, A. K., Brown, D. A., & Nitz, A. H. (2021). Eccentric Binary Neutron Star Search Prospects for Cosmic Explorer. Physical Review D, 104 (6): 063011. doi:10.1103/PhysRevD.104.063011.

Cite as: https://hdl.handle.net/21.11116/0000-0008-4650-F
We determine the ability of Cosmic Explorer, a proposed third-generation
gravitational-wave observatory, to detect eccentric binary neutron stars and to
measure their eccentricity. We find that for a matched-filter search, template
banks constructed using binaries in quasi-circular orbits are effectual for
eccentric neutron star binaries with $e_{7} \leq 0.004$ ($e_{7} \leq 0.003$)
for CE1 (CE2), where $e_7$ is the binary's eccentricity at a gravitational-wave
frequency of 7~Hz. We show that stochastic template placement can be used to
construct a matched-filter search for binaries with larger eccentricities and
construct an effectual template bank for binaries with $e_{7} \leq 0.05$. We
show that the computational cost of both the search for binaries in
quasi-circular orbits and eccentric orbits is not significantly larger for
Cosmic Explorer than for Advanced LIGO and is accessible with present-day
computational resources. We investigate Cosmic Explorer's ability to
distinguish between circular and eccentric binaries. We estimate that for a
binary with a signal-to-noise ratio of 8 (800), Cosmic Explorer can distinguish
between a circular binary and a binary with eccentricity $e_7 \gtrsim 10^{-2}$
($10^{-3}$) at 90\% confidence.