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Table 1.
Fractions, rates, and branching ratios of hierarchical mergers for different cases.
| Parameter | GC (1 Mpc−3) | NSC (0.01 Mpc−3) | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| BH number (NBH) | 2000 | 2000 | 2000 | 4000 | 1000 | 1 × 104 | 2 × 104 | 2 × 104 | 5 × 104 | 105 |
| BBH merger rate (Rcl[Gpc−3 yr−1]) | 4 | 10 | 10 | 40 | 0.01 | 0.4 | 1 | 2 | 4 | 10 |
| Retention probability (Pret) | 0.03 | 0.04 | 0.1 | 0.1 | 0.2 | 0.3 | 0.4 | 0.6 | 0.4 | 0.7 |
| Fraction of hierarchical mergers (fhier) | 6 × 10−4 | 2 × 10−3 | 5 × 10−3 | 0.01 | 2 × 10−3 | 0.01 | 0.02 | 0.06 | 0.03 | 0.07 |
| Hierarchical merger rate (Rhier[Gpc−3 yr−1]) | 2.4 × 10−3 | 0.02 | 0.05 | 0.4 | 2 × 10−5 | 4.8 × 10−3 | 0.02 | 0.12 | 0.13 | 0.7 |
Branching ratio ( ) |
3200 | 900 | 360 | 160 | 980 | 153 | 90 | 26.7 | 52.5 | 22.9 |
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