Population Synthesis of Black Hole Binaries with Compact Star Companions

TL;DR

This study models the formation and merger rates of black hole binaries with compact star companions, revealing the influence of supernova mechanisms and predicting observable populations for future gravitational wave detectors.

Contribution

It introduces detailed criteria for common envelope phases in binary evolution and explores the impact of different supernova models on black hole binary populations.

Findings

Approximately 10^5 - 10^6 BH--CS binaries in the Milky Way.

Estimated local merger rate density of 60-200 Gpc^-3 yr^-1.

Predictions of BH components within the mass gap depending on supernova models.

Abstract

We perform a systematic study of merging black hole (BH) binaries with compact star (CS) companions, including black hole--white dwarf (BH--WD), black hole--neutron star (BH--NS) and black hole--black hole (BH--BH) systems. Previous studies have shown that mass transfer stability and common envelope evolution can significantly affect the formation of merging BH--CS binaries through isolated binary evolution. With detailed binary evolution simulations, we obtain easy-to-use criteria for the occurrence of the common envelope phase in mass-transferring BH binaries with a nondegenerate donor, and incorporate into population synthesis calculations. To explore the impact of possible mass gap between NSs and BHs on the properties of merging BH--CS binary population, we adopt different supernova mechanisms involving the \textit{rapid}, \textit{delayed} and \textit{stochastic} prescriptions to deal with the compact remnant masses and the natal kicks. Our calculations show that there are $ \sim 10^{5} -10^{6}$ BH--CS binaries in the Milky Way, among which dozens are observable by future space-based gravitational wave detectors. We estimate that the local merger rate density of all BH--CS systems is $ \sim 60-200 \,\rm Gpc^{-3}yr^{-1}$. While there are no low-mass BHs formed via \textit{rapid} supernovae, both \textit{delayed} and \textit{stochastic} prescriptions predict that $ \sim 100\% $/$ \sim 70\% $/$ \sim 30\% $ of merging BH--WD/BH--NS/BH--BH binaries are likely to have BH components within the mass gap.