Eccentric Binary Neutron Star Search Prospects for Cosmic Explorer · arXivDesk
2103.14088Mar 25, 20218 pages, 7 figures, supplemental materials at https://github.com/gwastro/cosmic-explorer-bns-eccentricity, revised to match version accepted by PRD
Eccentric Binary Neutron Star Search Prospects for Cosmic Explorer
Amber K. Lenon, Duncan A. Brown, Alexander H. Nitz
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 e7≤0.004 (e7≤0.003
Nearby in the stack
) for CE1 (CE2), where
e7
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
e7≤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
e7≳10−2
(
10−3
) at 90% confidence.
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