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#### Eccentric Binary Neutron Star Search Prospects for Cosmic Explorer

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2103.14088.pdf

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##### Citation

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

##### Abstract

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.

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.