Black-hole-Neutron-star Mergers Are Unlikely Multimessenger Sources

The promise by the LIGO/Virgo/Kagra (LVK) collaboration to detect black-hole-neutron-star (BH-NS) mergers via gravitational wave (GW) emission has recently been fulfilled with the detection of GW200105 and GW200115. Mergers of BH-NS binaries are particularly exciting for their multimessenger potential since GW detection can be followed by an electromagnetic (EM) counterpart (kilonova, gamma-ray burst, afterglow) that can reveal important information on the equation of state (EOS) of NSs and the nature of the BH spin. This can happen whenever the NS does not directly plunge into the BH, but rather is tidally disrupted, leaving behind debris to accrete. We carry out a statistical study of the binary stars that evolve to form a BH-NS binary and compute the rate of merger events that can be followed by an EM counterpart. We find that greater than or similar to 50% of the mergers can lead to an EM counterpart only in the case where BHs are born highly spinning (chi (BH) greater than or similar to 0.7), while this fraction does not exceed about 30% for stiff NS EOSs and a few percent for soft NS EOSs for low-spinning BHs (chi (BH) less than or similar to 0.2), suggesting that a high rate of EM counterparts of BH-NS would provide support for high natal BH spins. However, the possibilities that BHs are born with near-maximal spins and that NS internal structure is described by a stiff EOS are disfavored by current LVK constraints. Considering that these values only represent an upper limit to observe an EM counterpart due to current observational limitations, such as brightness sensitivity and sky localization, BH-NS mergers are unlikely multimessenger sources.