Evolution of the Comptonizing medium of the black-hole candidate Swift J1727.8–1613 along the hard to hard-intermediate state transition using NICER

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Table A.2.

Time-averaged spectral and corona model parameters of Swift J1727.8–1613.

						Observation number
Component	Parameter	2	5	6	7	8	9	10	11	12	13	14
	QPO frequency (Hz)	0.334 ± 0.003	0.788 ± 0.003	0.887 ± 0.002	0.867 ± 0.003	1.111 ± 0.002	1.187 ± 0.004	1.123 ± 0.002	1.189 ± 0.003	1.239 ± 0.002	1.216 ± 0.002	1.261 ± 0.001
	time lag (10⁻² sec)	15.49±2.0	2.12±0.27	2.12±0.19	1.55±0.18	0.31±0.08	−0.14±0.2	0.26±0.1	0.46±0.1	−0.03±0.06	−0.06±0.08	−0.13±0.04
TBfeo	N_H (10²² cm⁻²)	[0.28]^a	[0.28]^a	[0.28]^a	[0.28]^a	[0.28]^a	[0.28]^a	[0.28]^a	[0.28]^a	[0.28]^a	[0.28]^a	[0.28]^a
diskbb	kT_in (keV)	0.270±0.001	0.339±0.003	0.352±0.003	0.350±0.001	0.376±0.003	0.396±0.004	0.389±0.004	0.386±0.003	0.389±0.003	0.388±0.003	0.393±0.003
	N_disk^b (10⁴)	31.7±1.0	17.8±0.4	15.7±0.4	15.9±0.2	12.1±0.2	10.3±0.2	10.6±0.2	10.9±0.2	10.3±0.2	10.5±0.2	9.9±0.2
	F_disk^⋆ (10⁻⁸ ergs cm⁻² s⁻¹)	3.4 ± 0.1	4.8 ± 0.1	4.8 ± 0.1	4.8 ± 0.1	5.0 ± 0.1	5.2 ± 0.1	5.0 ± 0.0	5.0 ± 0.1	4.8 ± 0.1	4.9 ± 0.1	4.9 ± 0.1
nthComp	Γ	1.621±0.005	1.721±0.006	1.742±0.003	1.735±0.005	1.799±0.003	1.817±0.011	1.803±0.003	1.812±0.004	1.835±0.004	1.828±0.003	1.832±0.003
	kT_e (keV)	[40]^a	[40]^a	[40]^a	[40]^a	[40]^a	[40]^a	[40]^a	[40]^a	[40]^a	[40]^a	[40]^a
	N_nthComp	23.5±0.1	33.6±0.3	34.4±0.3	33.9±0.2	36.2±0.3	35.5±0.5	35.5±0.3	35.6±0.3	36.0±0.3	35.5±0.3	34.8±0.3
	F_nthComp^⋆ (10⁻⁸ ergs cm⁻² s⁻¹)	56.7 ± 0.7	62.6 ± 0.6	60.9 ± 0.2	61.3 ± 0.5	56.7 ± 0.2	54.3 ± 0.7	55.8 ± 0.1	54.5 ± 0.2	52.4 ± 0.2	52.5 ± 0.1	51.3 ± 0.1
gaussian	lineE (keV)	[6.4]^a	[6.4]^a	[6.4]^a	[6.4]^a	[6.4]^a	[6.4]^a	[6.4]^a	[6.4]^a	[6.4]^a	[6.4]^a	[6.4]^a
	σ (keV)	1.3±0.1	1.1±0.1	[1.0]^a	1.1±0.1	[1.0]^a	1.0±0.2	[1.0]^a	[1.0]^a	1.0±0.1	[1.0]^a	[1.0]^a
	Strength (10⁻¹)	2.8±0.4	2.9±0.4	[2.0]^a	2.7±0.4	[2.0]^a	2.0±0.5	[2.0]^a	[2.0]^a	2.0±0.2	[2.0]^a	[2.0]^a
vkdualdk	kT_{s, 1} (keV)	$0 . 248_{- 0.011}^{+ 0.003}$ $0.248^{+0.003}_{-0.011}$	$0 . 299_{- 0.028}^{+ 0.032}$ $0.299^{+0.032}_{-0.028}$	$0 . 286_{- 0.055}^{+ 0.020}$ $0.286^{+0.020}_{-0.055}$	$0 . 325_{- 0.001}^{+ 0.002}$ $0.325^{+0.002}_{-0.001}$	$0 . 301_{- 0.059}^{+ 0.021}$ $0.301^{+0.021}_{-0.059}$	$0 . 267_{- 0.069}^{+ 0.055}$ $0.267^{+0.055}_{-0.069}$	$0 . 292_{- 0.013}^{+ 0.016}$ $0.292^{+0.016}_{-0.013}$	$0 . 301_{- 0.111}^{+ 0.128}$ $0.301^{+0.128}_{-0.111}$	$0 . 294_{- 0.030}^{+ 0.018}$ $0.294^{+0.018}_{-0.030}$	$0 . 276_{- 0.043}^{+ 0.031}$ $0.276^{+0.031}_{-0.043}$	$0 . 240_{- 0.031}^{+ 0.014}$ $0.240^{+0.014}_{-0.031}$
	L₁ (10³ km)	$6 . 5_{- 0.5}^{+ 0.2}$ $6.5^{+0.2}_{-0.5}$	$7 . 0_{- 0.4}^{+ 0.5}$ $7.0^{+0.5}_{-0.4}$	$6 . 1_{- 1.3}^{+ 1.5}$ $6.1^{+1.5}_{-1.3}$	$2 . 7_{- 0.1}^{+ 2.2}$ $2.7^{+2.2}_{-0.1}$	$5 . 5_{- 0.7}^{+ 0.9}$ $5.5^{+0.9}_{-0.7}$	$2 . 2_{- 1.2}^{+ 0.9}$ $2.2^{+0.9}_{-1.2}$	2.7±0.3	3.8±0.3	3.5±0.3	$3 . 5_{- 0.4}^{+ 0.5}$ $3.5^{+0.5}_{-0.4}$	2.8±0.3
	L₂ (10³ km)	$1 . 9_{- 0.1}^{+ 0.4}$ $1.9^{+0.4}_{-0.1}$	$7 . 9_{- 0.4}^{+ 0.5}$ $7.9^{+0.5}_{-0.4}$	$7 . 5_{- 1.7}^{+ 2.1}$ $7.5^{+2.1}_{-1.7}$	$2 . 7_{- 1.1}^{+ 0.6}$ $2.7^{+0.6}_{-1.1}$	$6 . 9_{- 1.0}^{+ 1.2}$ $6.9^{+1.2}_{-1.0}$	3.6±1.1	$3 . 4_{- 0.4}^{+ 0.2}$ $3.4^{+0.2}_{-0.4}$	5.3±0.4	$4 . 4_{- 0.4}^{+ 0.5}$ $4.4^{+0.5}_{-0.4}$	$4 . 7_{- 0.6}^{+ 0.7}$ $4.7^{+0.7}_{-0.6}$	3.7±0.4
	η₁	0.17±0.01	$0 . 27_{- 0.03}^{+ 0.01}$ $0.27^{+0.01}_{-0.03}$	$0 . 28_{- 0.04}^{+ 0.02}$ $0.28^{+0.02}_{-0.04}$	$0 . 28_{- 0.01}^{+ 0.02}$ $0.28^{+0.02}_{-0.01}$	$0 . 28_{- 0.02}^{+ 0.01}$ $0.28^{+0.01}_{-0.02}$	$0 . 27_{- 0.10}^{+ 0.03}$ $0.27^{+0.03}_{-0.10}$	0.26±0.01	$0 . 26_{- 0.04}^{+ 0.10}$ $0.26^{+0.10}_{-0.04}$	$0 . 26_{- 0.02}^{+ 0.01}$ $0.26^{+0.01}_{-0.02}$	$0 . 25_{- 0.03}^{+ 0.02}$ $0.25^{+0.02}_{-0.03}$	$0 . 23_{- 0.03}^{+ 0.01}$ $0.23^{+0.01}_{-0.03}$
	η₂	0.19±0.01	$0 . 29_{- 0.02}^{+ 0.01}$ $0.29^{+0.01}_{-0.02}$	0.32±0.01	$0 . 29_{- 0.03}^{+ 0.02}$ $0.29^{+0.02}_{-0.03}$	$0 . 34_{- 0.01}^{+ 0.02}$ $0.34^{+0.02}_{-0.01}$	$0 . 39_{- 0.03}^{+ 0.05}$ $0.39^{+0.05}_{-0.03}$	0.33±0.01	$0 . 32_{- 0.03}^{+ 0.10}$ $0.32^{+0.10}_{-0.03}$	0.33±0.01	$0 . 35_{- 0.01}^{+ 0.02}$ $0.35^{+0.02}_{-0.01}$	$0 . 36_{- 0.01}^{+ 0.02}$ $0.36^{+0.02}_{-0.01}$
	$δ {\dot{H}}_{ext, 1}$ $\delta \dot {H}_{\mathrm {ext,1}}$	$11 . 00_{- 1.53}^{+ 1.17}$ $11.00^{+1.17}_{-1.53}$	$10 . 80_{- 1.29}^{+ 0.95}$ $10.80^{+0.95}_{-1.29}$	$8 . 70_{- 1.35}^{+ 1.13}$ $8.70^{+1.13}_{-1.35}$	$22 . 40_{- 2.31}^{+ 0.57}$ $22.40^{+0.57}_{-2.31}$	$6 . 90_{- 0.85}^{+ 0.79}$ $6.90^{+0.79}_{-0.85}$	$9 . 60_{- 18.87}^{+ 3.25}$ $9.60^{+3.25}_{-18.87}$	$11 . 10_{- 1.48}^{+ 0.74}$ $11.10^{+0.74}_{-1.48}$	$6 . 00_{- 2.43}^{+ 2.09}$ $6.00^{+2.09}_{-2.43}$	$8 . 20_{- 0.71}^{+ 0.58}$ $8.20^{+0.58}_{-0.71}$	$8 . 50_{- 2.09}^{+ 1.10}$ $8.50^{+1.10}_{-2.09}$	$11 . 20_{- 3.32}^{+ 1.32}$ $11.20^{+1.32}_{-3.32}$
	$δ {\dot{H}}_{ext, 2}$ $\delta \dot {H}_{\mathrm {ext,2}}$	$27 . 6_{- 11.7}^{+ 0.4}$ $27.6^{+0.4}_{-11.7}$	$5 . 6_{- 0.7}^{+ 2.2}$ $5.6^{+2.2}_{-0.7}$	$2 . 9_{- 0.7}^{+ 0.3}$ $2.9^{+0.3}_{-0.7}$	$16 . 6_{- 2.1}^{+ 2.7}$ $16.6^{+2.7}_{-2.1}$	$2 . 0_{- 2.1}^{+ 0.7}$ $2.0^{+0.7}_{-2.1}$	$1 . 1_{- 0.5}^{+ 0.6}$ $1.1^{+0.6}_{-0.5}$	$2 . 7_{- 0.2}^{+ 0.6}$ $2.7^{+0.6}_{-0.2}$	$1 . 4_{- 3.1}^{+ 0.6}$ $1.4^{+0.6}_{-3.1}$	$2 . 0_{- 0.4}^{+ 0.7}$ $2.0^{+0.7}_{-0.4}$	$1 . 5_{- 0.9}^{+ 0.5}$ $1.5^{+0.5}_{-0.9}$	1.1±0.2
	ϕ (rad)	[−3]^a	$3 . 10_{- 0.02}^{+ 0.01}$ $3.10^{+0.01}_{-0.02}$	3.11±0.01	[−3]^a	$- 3 . 13_{- 0.01}^{+ 0.07}$ $-3.13^{+0.07}_{-0.01}$	$- 3 . 03_{- 0.07}^{+ 0.17}$ $-3.03^{+0.17}_{-0.07}$	$3 . 14_{- 0.01}^{+ 0.01}$ $3.14^{+0.01}_{-0.01}$	$3 . 12_{- 0.03}^{+ 0.04}$ $3.12^{+0.04}_{-0.03}$	$- 3 . 12_{- 0.01}^{+ 0.03}$ $-3.12^{+0.03}_{-0.01}$	$- 3 . 08_{- 0.02}^{+ 0.06}$ $-3.08^{+0.06}_{-0.02}$	$- 3 . 05_{- 0.04}^{+ 0.07}$ $-3.05^{+0.07}_{-0.04}$
	reflag (10⁻²)	29.4±1.3	10.4±0.7	8.2±0.5	2.0±1.9	4.3±0.4	−0.4±1.1	1.3±0.6	5.5±0.9	2.1±0.4	1.5±0.5	1.5±0.3
	η_{int, 1}	0.005±0.001	0.019±0.004	$0 . 014_{- 0.002}^{+ 0.003}$ $0.014^{+0.003}_{-0.002}$	0.014±0.001	$0 . 017_{- 0.002}^{+ 0.003}$ $0.017^{+0.003}_{-0.002}$	$0 . 017_{- 0.002}^{+ 0.004}$ $0.017^{+0.004}_{-0.002}$	0.016±0.002	$0 . 018_{- 0.003}^{+ 0.009}$ $0.018^{+0.009}_{-0.003}$	$0 . 017_{- 0.001}^{+ 0.002}$ $0.017^{+0.002}_{-0.001}$	$0 . 016_{- 0.002}^{+ 0.001}$ $0.016^{+0.001}_{-0.002}$	0.014±0.001
	η_{int, 2}	0.006±0.001	$0 . 021_{- 0.004}^{+ 0.005}$ $0.021^{+0.005}_{-0.004}$	0.017±0.001	0.015±0.001	$0 . 021_{- 0.003}^{+ 0.001}$ $0.021^{+0.001}_{-0.003}$	$0 . 026_{- 0.003}^{+ 0.002}$ $0.026^{+0.002}_{-0.003}$	0.021±0.001	0.021±0.005	0.023±0.001	0.024±0.001	0.025±0.001

	χ² (dof)	228.2 (241 )	223.6 (248 )	254.2 (251 )	233.4 (242 )	266.3 (251 )	222.6 (229 )	266.1 (251 )	203.6 (242 )	264.0 (249 )	234.5 (248 )	258.9 (254 )

Notes. The time lag is between the 0.5–2.0 keV and 2.0–10.0 keV band of the QPO. The reference lag, reflag, of the model is in the 0.5–10.0 keV energy band. The errors are at 1σ confidence levels.

^(a)

Fixed parameter during the fitting.

^(b)

Parameter tied during fitting.

^(*)

Unabsorbed flux in the 0.5–10.0 keV energy band.

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