The Rarity of Repeating Fast Radio Bursts from Binary Neutron Star Mergers

Fast radio bursts (FRBs) are extragalactic, bright pulses of emission at radio frequency with milliseconds duration. Observationally, FRBs can be divided into two classes, repeating FRBs and non-repeating FRBs. At present, twenty repeating FRBs have been discovered with unknown physical origins. Localization of the first repeating FRB 121102 and discovery of an associated persistent radio source support that FRBs are powered by young millisecond magnetars, which could be formed by core-collapses of massive stars or binary neutron stars mergers. These two formation channels can be distinguished by gravitational waves generated by binary neutron stars mergers. We first calculate the lower limit of the local formation rate of repeating FRBs observed by the Canadian Hydrogen Intensity Mapping Experiment (CHIME) . Then we show that only a small fraction ($6\%$) of repeating FRBs is produced by young magnetars from binary neutron star mergers, basing on the gravitational wave detections by the third observing run (O3) of Advanced LIGO/Virgo gravitational-wave detectors. Therefore, we believe that repeating FRBs are more likely produced by the magnetars newborn from the core-collapses of massive stars rather than the magnetars from the binary neutron stars mergers.