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We present a search for gravitational waves from merging binary neutron starswhich have non-negligible eccentricity as they enter the LIGO observing band.We use the public Advanced LIGO data which covers the period from 2015 through2017 and contains $\sim164$ days of LIGO-Hanford and LIGO-Livingston coincidentobserving time. The search was conducted using matched-filtering using thePyCBC toolkit. We find no significant binary neutron star candidates beyondGW170817, which has previously been reported by searches for binaries incircular orbits. We place a 90% upper limit of $\sim1700$ mergers$\textrm{Gpc}^{-3} \textrm{Yr}^{-1}$ for eccentricities $\lesssim 0.43$ at adominant-mode gravitational-wave frequency of 10 Hz. The absence of a detectionwith these data is consistent with theoretical predictions of eccentric binaryneutron star merger rates. Using our measured rate we estimate the sensitivevolume of future gravitational-wave detectors and compare this to theoreticalrate predictions. We find that, in the absence of a prior detection, the ratelimits set by six months of Cosmic Explorer observations would constrain allcurrent plausible models of eccentric binary neutron star formation.

Search for Eccentric Binary Neutron Star Mergers in the first and second observing runs of Advanced LIGO