Revised spin for the black hole in GRS 1716-249 given a new distance determination

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Volume 691 (November 2024)

A&A, 691 (2024) A192

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Table 3.

Joint fitting parameters of Insight-HXMT and NuSTAR with M1 (constant*tbabs*(kerrbb+relxill)).

	`M1A` (D = 2.4 kpc)		`M1B` (D = 6.9 kpc)
Parameter	Dataset 1	Dataset 2	Dataset 1	Dataset 2

	`TBABS`
$N_{H}^{★}$ $N_{\mathrm{H}}^{\bigstar}$	$0 . 758_{- 0.016}^{+ 0.009}$ $0.758_{-0.016}^{+0.009}$		$0 . 696_{- 0.015}^{+ 0.006}$ $0.696_{-0.015}^{+0.006}$

	`KERRBB`
Ṁ	14.4 ± 0.5	11.9 ± 0.4	$262_{- 15}^{+ 10}$ $262_{-15}^{+10}$	$212_{- 12}^{+ 8}$ $212_{-12}^{+8}$
f_h	$1 . 319_{- 0.019}^{+ 0.069}$ $1.319_{-0.019}^{+0.069}$	$1 . 29_{- 0.02}^{+ 0.07}$ $1.29_{-0.02}^{+0.07}$	$1 . 41_{- 0.04}^{+ 0.08}$ $1.41_{-0.04}^{+0.08}$	$1 . 40_{- 0.04}^{+ 0.08}$ $1.40_{-0.04}^{+0.08}$


	`RELXILL`
q_in	> 9.35	> 9.73	$5 . 2_{- 1.0}^{+ 0.8}$ $5.2_{-1.0}^{+0.8}$	> 7.4
R_b	$1 . 68_{- 0.11}^{+ 0.04}$ $1.68^{+0.04}_{-0.11}$	$1 . 75_{- 0.11}^{+ 0.06}$ $1.75^{+0.06}_{-0.11}$	$39 . 3_{- 29.4}^{+ 55.8}$ $39.3^{+55.8}_{-29.4}$	$4 . 6_{- 1.6}^{+ 10.8}$ $4.6^{+10.8}_{-1.6}$
$a_{}^{★}$ $a_{}^{\bigstar}$	$0 . 989_{- 0.005}^{+ 0.002}$ $0.989_{-0.005}^{+0.002}$		$0 . 44_{- 0.08}^{+ 0.07}$ $0.44_{-0.08}^{+0.07}$
i^★	$43 . 8_{- 1.3}^{+ 0.6}$ $43.8_{-1.3}^{+0.6}$		$43 . 6_{- 1.1}^{+ 0.5}$ $43.6_{-1.1}^{+0.5}$
Γ	1.939 ± 0.012	$1 . 892_{- 0.013}^{+ 0.016}$ $1.892_{-0.013}^{+0.016}$	$1 . 958_{- 0.016}^{+ 0.009}$ $1.958_{-0.016}^{+0.009}$	$1 . 900_{- 0.018}^{+ 0.006}$ $1.900_{-0.018}^{+0.006}$
log ξ	3.93 ± 0.07	$3 . 77_{- 0.11}^{+ 0.07}$ $3.77_{-0.11}^{+0.07}$	$3 . 86_{- 0.08}^{+ 0.10}$ $3.86_{-0.08}^{+0.10}$	$3 . 81_{- 0.05}^{+ 0.10}$ $3.81_{-0.05}^{+0.10}$
$A_{Fe}^{★}$ $A_{\mathrm{Fe}}^{\bigstar}$	> 8.3		$5 . 0_{- 0.3}^{+ 0.4}$ $5.0_{-0.3}^{+0.4}$
E_cut	> 877.2	$840 . 2_{- 118.3}^{+ 117.0}$ $840.2_{-118.3}^{+117.0}$	> 950.4	> 938.8
R_f	$0 . 68_{- 0.13}^{+ 0.06}$ $0.68_{-0.13}^{+0.06}$	$0 . 58_{- 0.09}^{+ 0.07}$ $0.58_{-0.09}^{+0.07}$	$0 . 40_{- 0.05}^{+ 0.08}$ $0.40_{-0.05}^{+0.08}$	$0 . 36_{- 0.03}^{+ 0.08}$ $0.36_{-0.03}^{+0.08}$
norm	7.2 ± 0.4	7.7 ± 0.4	$7 . 8_{- 0.6}^{+ 0.4}$ $7.8_{-0.6}^{+0.4}$	$7 . 9_{- 0.6}^{+ 0.2}$ $7.9_{-0.6}^{+0.2}$

Flux	1.19	1.06	1.11	0.98

χ²/dof	6342.6/6356 = 0.998		6404.8/6356 = 1.008

Notes. All errors are quoted at the 90% confidence level. The probability distributions of parameters for M1B obtained from dataset 1 through MCMC are presented in Fig. B.1; ^★ indicates that the parameters between different datasets are linked; N_H is the X-ray absorption column density in units of 10²² atoms cm⁻²; Ṁ is the effective mass accretion rate of the disk in units of 10¹⁵g s⁻¹; f_h is the spectral hardening factor; q_in is the inner emissivity index; R_b represents the transition radius between the inner and outer emissivity indices, measured in R_ISCO units, and is capped at 100 R_ISCO; a_* is the BH spin; i is the disk inclination angle in units of deg; Γ is the photon index of the incident cutoff PL spectrum; ξ is the ionization parameter of the accretion disk in units of erg cm s⁻¹; A_Fe is the iron abundance of the accretion disk in units of solar abundance; E_cut is the cutoff energy in units of keV; R_f is the reflection fraction; and norm is the normalization of relxill in units of 10⁻³. Flux is the 0.1–100 keV unabsorbed fluxes in units of 10⁻⁸ erg cm⁻² s⁻¹.

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