Papers › Eccentric Binary Neutron Star Search Prospects for Cosmic Explorer
Eccentric Binary Neutron Star Search Prospects for Cosmic Explorer
Amber K. Lenon, Duncan A. Brown, Alexander H. Nitz
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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) 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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