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Mergers of black hole (BH) and neutron star (NS) binaries are of interestsince the emission of gravitational waves (GWs) can be followed by anelectromagnetic (EM) counterpart, which could power short gamma-ray bursts.Until now, LIGO/Virgo has only observed a candidate BH-NS event,GW190426\_152155, which was not followed by any EM counterpart. We discuss howthe presence (absence) of a remnant disk, which powers the EM counterpart, canbe used along with spin measurements by LIGO/Virgo to derive a lower (upper)limit on the radius of the NS. For the case of GW190426\_152155, largemeasurement errors on the spin and mass ratio prevent from placing an upperlimit on the NS radius. Our proposed method works best when the alignedcomponent of the BH spin (with respect to the orbital angular momentum) is thelargest, and can be used to complement the information that can be extractedfrom the GW signal to derive valuable information on the NS equation of state.

Constraining neutron star radii in black hole-neutron star mergers from their electromagnetic counterparts