Kavli Affiliate: Fukun Liu
| Summary:
Quasiperiodic eruptions (QPEs) are a novel class of transients recently discovered in a few extragalactic nuclei. It has been suggested that a QPE can be produced by a main-sequence star undergoing repeated partial disruptions by the tidal field of a supermassive black hole (SMBH) immediately after getting captured on a tightly bound orbit through the Hills mechanism. In this Letter, we investigate the period-dependent formation rate of QPEs for this scenario, utilizing scattering experiments and the loss-cone theory. We calculate the QPE formation rates in both a single-SMBH and a dual-SMBH system, motivated by the overrepresentation of postmerger galaxies as QPE hosts. We find that for SMBHs of mass $10^6$–$10^7M_odot$, most QPEs formed in this scenario have periods longer than $simeq 100$ days. A single-SMBH system generally produces QPEs at a negligible rate of $10^-10$–$10^-8 rmyr^-1$ due to inefficient two-body relaxation. Meanwhile, in a dual-SMBH system, the QPE rate is enhanced by 3-4 orders of magnitude, mainly due to a boosted angular momentum evolution under tidal perturbation from the companion SMBH (galaxy). The QPE rate in a postmerger galactic nucleus hosting two equal-mass SMBHs separated by a few parsecs could reach $10^-6$–$10^-5 rmyr^-1$. Our results suggest that a nonnegligible fraction ($simeq 10$–$90%$) of long-period QPEs should come from postmerger galaxies.
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