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Neutron-star Radius from a Population of Binary Neutron Star Mergers · Around

2017

Neutron-star Radius from a Population of Binary Neutron Star Mergers

Bose, Sukanta, Chakravarti, Kabir, Rezzolla, Luciano et al.

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We show how gravitational-wave observations with advanced detectors of tens to several tens of neutron-star binaries can measure the neutron-star radius with an accuracy of several to a few percent, for mass and spatial distributions that are realistic, and with none of the sources located within 100 Mpc.

We achieve such an accuracy by combining measurements of the total mass from the inspiral phase with those of the compactness from the postmerger oscillation frequencies.
For estimating the measurement errors of these frequencies we utilize analytical fits to postmerger numerical-relativity waveforms in the time domain, obtained here for the first time, for four nuclear-physics equations of state and a couple of values for the mass.
We further exploit quasi-universal relations to derive errors in compactness from those frequencies.

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