The steady state of intermediate-mass black holes near a supermassive black hole

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Volume 685 (May 2024)

A&A, 685 (2024) A123

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Table 5.

Summary of results when M_SMBH = 4 × 10⁶ M_⊙.

N_IMBH	% Hard bin.	med(t_bf) [kyr]	med(t_hf) [Myr]
		`GRX`

10	3.46%	$98 \begin{matrix} + 630 \\ - 90 \end{matrix}$ $98\substack{+630 \\ -90}$	$4.2 \begin{matrix} + 0 \\ - 0 \end{matrix}$ $4.2\substack{+0 \\ -0}$
15	1.30%	$19 \begin{matrix} + 44 \\ - 11 \end{matrix}$ $19\substack{+44 \\ -11}$	$37 \begin{matrix} + 0 \\ - 0 \end{matrix}$ $37\substack{+0 \\ -0}$
20	0.353%	$30 \begin{matrix} + 53 \\ - 20 \end{matrix}$ $30\substack{+53 \\ -20}$	–
25	0.420%	$33 \begin{matrix} + 92 \\ - 18 \end{matrix}$ $33\substack{+92 \\ -18}$	–
30	0.212%	$43 \begin{matrix} + 76 \\ - 25 \end{matrix}$ $43\substack{+76 \\ -25}$	–
35	0.0725%	$110 \begin{matrix} + 320 \\ - 87 \end{matrix}$ $110\substack{+320 \\ -87}$	–
40	0.00%	$96 \begin{matrix} + 140 \\ - 70 \end{matrix}$ $96\substack{+140 \\ -70}$	–

		`Hermite`

10	0.00%	$100 \begin{matrix} + 950 \\ - 94 \end{matrix}$ $100\substack{+950 \\ -94}$	$27 \begin{matrix} + 35 \\ - 13 \end{matrix}$ $27\substack{+35 \\ -13}$
20	0.158%	$39 \begin{matrix} + 150 \\ - 27 \end{matrix}$ $39\substack{+150 \\ -27}$	$8.1 \begin{matrix} + 11 \\ - 1.9 \end{matrix}$ $8.1\substack{+11 \\ -1.9}$
30	0.385%	$52 \begin{matrix} + 133 \\ - 32 \end{matrix}$ $52\substack{+133 \\ -32}$	$9.4 \begin{matrix} + 8.9 \\ - 4.6 \end{matrix}$ $9.4\substack{+8.9 \\ -4.6}$
40	0.428%	$138 \begin{matrix} + 197 \\ - 101 \end{matrix}$ $138\substack{+197 \\ -101}$	$4.4 \begin{matrix} + 4.1 \\ - 2.1 \end{matrix}$ $4.4\substack{+4.1 \\ -2.1}$

Notes. Column 1: Cluster population. Column 2: Percentage of hard binaries. Column 3: Median binary appearance time. Column 4: Median hierarchical system appearance time. Superscripts denote the upper quartile range, subscripts the lower quartile range.

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