Disk evolution and black hole mass constraints on EXO 1846−031 based on NICER/XTI, Insight-HXMT and NuSTAR observations

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Table E.2.

Fitting results with kerrbb+reflection model

ID	X1		X2		X3		X4
Model	relxill+cutpl		relxill+cutpl		relxill+cutpl		relxill+cutpl
Parameters

const_N	0.985 ± 0.006	0.985 ± 0.006	$1 . 064_{- 0.003}^{+ 0.004}$ $1.064^{+0.004}_{-0.003}$	$1 . 060_{- 0.003}^{+ 0.004}$ $1.060^{+0.004}_{-0.003}$	-	-	1.051 ± 0.003	$1 . 050_{- 0.002}^{+ 0.003}$ $1.050^{+0.003}_{-0.002}$
const_A/const_LE	1.021 ± 0.005	1.021 ± 0.005	1.035 ± 0.002	1.035 ± 0.002	1.080_−0.023	$1 . 073_{- 0.027}^{+ 0.026}$ $1.073^{+0.026}_{-0.027}$	1.022 ± 0.003	$1 . 022_{- 0.003}^{+ 0.002}$ $1.022^{+0.002}_{-0.003}$
a	0.998 ^*	0.333^+0.172	0.998 ^*	−0.998^+0.060	0.998 ^*	$0 . 202_{- 0.013}^{+ 0.083}$ $0.202^{+0.083}_{-0.013}$	0.998 ^*	−0.998^+0.019
Incl(°)	$41 . 28_{- 3.25}^{+ 2.16}$ $41.28^{+2.16}_{-3.25}$	$35 . 51_{- 8.75}^{+ 4.53}$ $35.51^{+4.53}_{-8.75}$	$17 . 12_{- 0.75}^{+ 0.70}$ $17.12^{+0.70}_{-0.75}$	$29 . 20_{- 2.73}^{+ 2.50}$ $29.20^{+2.50}_{-2.73}$	< 7.046	< 8.30	$10 . 07_{- 1.38}^{+ 0.87}$ $10.07^{+0.87}_{-1.38}$	< 11.24
M(M_⊙)	$29 . 16_{- 10.05}^{+ 21.05}$ $29.16^{+21.05}_{-10.05}$	$9 . 94_{- 5.99}^{+ 10.48}$ $9.94^{+10.48}_{-5.99}$	$6 . 57_{- 0.10}^{+ 0.11}$ $6.57^{+0.11}_{-0.10}$	1.86 ± 0.04	$6 . 16_{- 0.09}^{+ 0.31}$ $6.16^{+0.31}_{-0.09}$	$2 . 69_{- 0.20}^{+ 0.06}$ $2.69^{+0.06}_{-0.20}$	$6 . 28_{- 0.10}^{+ 0.08}$ $6.28^{+0.08}_{-0.10}$	$1 . 69_{- 0.01}^{+ 0.04}$ $1.69^{+0.04}_{-0.01}$
Ṁ(× 10¹⁶ g/s)	$4 . 50_{- 0.91}^{+ 1.83}$ $4.50^{+1.83}_{-0.91}$	$13 . 21_{- 4.31}^{+ 14.68}$ $13.21^{+14.68}_{-4.31}$	$36 . 67_{- 0.27}^{+ 0.29}$ $36.67^{+0.29}_{-0.27}$	$177 . 37_{- 4.00}^{+ 4.23}$ $177.37^{+4.23}_{-4.00}$	$53 . 51_{- 1.17}^{+ 1.98}$ $53.51^{+1.98}_{-1.17}$	$148 . 91_{- 56.12}^{+ 13.73}$ $148.91^{+13.73}_{-56.12}$	$30 . 79_{- 0.19}^{+ 0.17}$ $30.79^{+0.17}_{-0.19}$	$133 . 73_{- 4.52}^{+ 2.17}$ $133.73^{+2.17}_{-4.52}$
Γ	1.75 ± 0.02	1.77 ± 0.02	1.69 ± 0.09	$1 . 79_{- 0.03}^{+ 0.10}$ $1.79^{+0.10}_{-0.03}$	$2 . 68_{- 0.11}^{+ 0.08}$ $2.68^{+0.08}_{-0.11}$	$2 . 78_{- 0.07}^{+ 0.09}$ $2.78^{+0.09}_{-0.07}$	$1 . 81_{- 0.07}^{+ 0.08}$ $1.81^{+0.08}_{-0.07}$	$1 . 93_{- 0.03}^{+ 0.02}$ $1.93^{+0.02}_{-0.03}$
Log(ξ)	3.63 ± 0.17	$3 . 66_{- 0.15}^{+ 0.26}$ $3.66^{+0.26}_{-0.15}$	4.27 ± 0.03	$3 . 70_{- 0.07}^{+ 0.19}$ $3.70^{+0.19}_{-0.07}$	$1 . 82_{- 0.42}^{+ 0.22}$ $1.82^{+0.22}_{-0.42}$	< 0.20	$3 . 65_{- 0.29}^{+ 0.20}$ $3.65^{+0.20}_{-0.29}$	$3 . 70_{- 0.07}^{+ 0.04}$ $3.70^{+0.04}_{-0.07}$
^§A_Fe	6.00_−2.30	$4 . 69_{- 0.16}^{+ 1.31}$ $4.69^{+1.31}_{-0.16}$	6.00_−0.42	6.00_−0.42	$1 . 00_{- 0.12}^{+ 0.90}$ $1.00^{+0.90}_{-0.12}$	$0 . 81_{- 0.19}^{+ 0.12}$ $0.81^{+0.12}_{-0.19}$	6.00_−1.18	6.00_−0.39
E_cut (keV)	$67 . 12_{- 4.67}^{+ 5.07}$ $67.12^{+5.07}_{-4.67}$	$72 . 28_{- 5.23}^{+ 8.76}$ $72.28^{+8.76}_{-5.23}$	300.00_−29.25	$87 . 10_{- 11.19}^{+ 74.39}$ $87.10^{+74.39}_{-11.19}$	60.00 ^*	60.00 ^*	300.00_−150.78	300.00_−37.68
Norm_r(×10⁻³)	$6 . 50_{- 0.71}^{+ 2.58}$ $6.50^{+2.58}_{-0.71}$	$4 . 96_{- 1.00}^{+ 2.86}$ $4.96^{+2.86}_{-1.00}$	$1 . 35_{0.14}^{+ 0.15}$ $1.35^{+0.15}_{0.14}$	$0 . 54_{- 0.05}^{+ 0.20}$ $0.54^{+0.20}_{-0.05}$	$42 . 84_{- 16.26}^{+ 26.92}$ $42.84^{+26.92}_{-16.26}$	$50 . 84_{- 14.96}^{+ 23.25}$ $50.84^{+23.25}_{-14.96}$	$0 . 20_{- 0.09}^{+ 0.14}$ $0.20^{+0.14}_{-0.09}$	0.29 ± 0.03
Norm_PL	$1 . 27_{- 0.14}^{+ 0.12}$ $1.27^{+0.12}_{-0.14}$	$1 . 35_{- 0.17}^{+ 0.09}$ $1.35^{+0.09}_{-0.17}$	0.021 ± 0.014	$0 . 110_{- 0.008}^{+ 0.023}$ $0.110^{+0.023}_{-0.008}$	< 0.085	< 0.083	$0 . 026_{- 0.004}^{+ 0.005}$ $0.026^{+0.005}_{-0.004}$	$0 . 034_{- 0.003}^{+ 0.002}$ $0.034^{+0.002}_{-0.003}$
τ	$0 . 12_{- 0.01}^{+ 0.02}$ $0.12^{+0.02}_{-0.01}$	0.117 ± 0.005	$0 . 126_{- 0.009}^{+ 0.010}$ $0.126^{+0.010}_{-0.009}$	0.133 ± 0.009	-	-	$0 . 141_{- 0.009}^{+ 0.008}$ $0.141^{+0.008}_{-0.009}$	$0 . 143_{- 0.009}^{+ 0.008}$ $0.143^{+0.008}_{-0.009}$

χ²/ν	2146.75 /2114	2139.96/2113	1721.11/1643	1632.41/1642	1225.24/1003	1219.48/1002	1483.44/1504	1445.88/1503
	(1.02)	(1.01)	(1.05)	(1.00)	(1.22)	(1.22)	(0.99)	(0.96)
ACI	2170.898	2166.072	1745.300	1243.420	1239.480	1179.904	1507.648	1472.122

ID	X2		X3		X4
Model	relxillNS+NthComp		relxillNS+NthComp		relxillNS+NthComp
Parameters

const_N	$1 . 057_{- 0.003}^{+ 0.004}$ $1.057^{+0.004}_{-0.003}$	1.056 ± 0.004	-	-	$1 . 044_{- 0.003}^{+ 0.004}$ $1.044^{+0.004}_{-0.003}$	$1 . 044_{- 0.003}^{+ 0.004}$ $1.044^{+0.004}_{-0.003}$
const_A/const_LE	1.035 ± 0.002	1.035 ± 0.002	1.010 ± 0.032	1.005 ± 0.032	0.997 ± 0.031	1.022 ± 0.003
a	0.998 ^*	−0.998^+0.448	0.998 ^*	$0 . 843_{- 0.588}^{+ 0.155}$ $0.843^{+0.155}_{-0.588}$	0.998 ^*	−0.998^+0.447
Incl(°)	$49 . 98_{- 1.56}^{+ 1.12}$ $49.98^{+1.12}_{-1.56}$	$41 . 69_{+ 2.93}^{- 3.16}$ $41.69^{-3.16}_{+2.93}$	$30 . 29_{- 1.61}^{+ 2.28}$ $30.29^{+2.28}_{-1.61}$	$30 . 74_{- 3.18}^{+ 2.75}$ $30.74^{+2.75}_{-3.18}$	$44 . 71_{- 5.06}^{+ 1.78}$ $44.71^{+1.78}_{-5.06}$	$32 . 93_{- 4.66}^{+ 3.93}$ $32.93^{+3.93}_{-4.66}$
M(M_⊙)	$26 . 63_{- 2.09}^{+ 1.66}$ $26.63^{+1.66}_{-2.09}$	$3 . 05_{- 0.22}^{+ 0.31}$ $3.05^{+0.31}_{-0.22}$	$10 . 49_{- 1.12}^{+ 1.49}$ $10.49^{+1.49}_{-1.12}$	$14 . 71_{- 4.69}^{+ 13.99}$ $14.71^{+13.99}_{-4.69}$	$18 . 50_{- 3.60}^{+ 1.79}$ $18.50^{+1.79}_{-3.60}$	$2 . 32_{- 0.13}^{+ 1.02}$ $2.32^{+1.02}_{-0.13}$
Ṁ(× 10¹⁶ g/s)	$22 . 42_{- 0.58}^{+ 0.84}$ $22.42^{+0.84}_{-0.58}$	$148 . 69_{- 11.72}^{+ 6.93}$ $148.69^{+6.93}_{-11.72}$	$39 . 13_{- 3.88}^{+ 2.50}$ $39.13^{+2.50}_{-3.88}$	$46 . 05_{- 19.31}^{+ 24.28}$ $46.05^{+24.28}_{-19.31}$	$20 . 42_{- 0.85}^{+ 0.77}$ $20.42^{+0.77}_{-0.85}$	$128 . 85_{- 38.00}^{+ 4.87}$ $128.85^{+4.87}_{-38.00}$
T_in (keV)	$0 . 849_{- 0.006}^{+ 0.009}$ $0.849^{+0.009}_{-0.006}$	$0 . 880_{- 0.016}^{+ 0.021}$ $0.880^{+0.021}_{-0.016}$	$0 . 884_{- 0.019}^{+ 0.020}$ $0.884^{+0.020}_{-0.019}$	$0 . 880_{- 0.016}^{+ 0.023}$ $0.880^{+0.023}_{-0.016}$	$0 . 819_{- 0.006}^{+ 0.015}$ $0.819^{+0.015}_{-0.006}$	$0 . 864_{- 0.020}^{+ 0.022}$ $0.864^{+0.022}_{-0.020}$
Γ	1.90 ± 0.01	1.90 ± 0.01	$2 . 13_{- 0.09}^{+ 0.10}$ $2.13^{+0.10}_{-0.09}$	$2 . 18_{- 1.00}^{+ 0.09}$ $2.18^{+0.09}_{-1.00}$	$1 . 86_{- 0.03}^{+ 0.02}$ $1.86^{+0.02}_{-0.03}$	$1 . 84_{- 0.03}^{+ 0.02}$ $1.84^{+0.02}_{-0.03}$
Log(ξ)	4.10_−0.11	4.10_−0.11	$3 . 08_{- 0.12}^{+ 0.09}$ $3.08^{+0.09}_{-0.12}$	$3 . 40_{- 0.13}^{+ 0.12}$ $3.40^{+0.12}_{-0.13}$	4.30_−0.33	4.30_−0.37
^§A_Fe	$2 . 10_{- 0.38}^{+ 0.37}$ $2.10^{+0.37}_{-0.38}$	$1 . 90_{- 0.44}^{+ 0.41}$ $1.90^{+0.41}_{-0.44}$	$5 . 01_{- 1.13}^{+ 0.09}$ $5.01^{+0.09}_{-1.13}$	$2 . 72_{- 0.66}^{+ 0.63}$ $2.72^{+0.63}_{-0.66}$	$2 . 54_{- 0.39}^{+ 0.43}$ $2.54^{+0.43}_{-0.39}$	$2 . 76_{- 0.55}^{+ 0.61}$ $2.76^{+0.61}_{-0.55}$
kT_e (keV)	30.00^+3.19	30.00^+3.45	60.00 ^*	60.00 ^*	300.00_−243.75	300_−255.85
^★Log (n)	19.00_−0.06	19.00_−0.06	19.00 ^*	19.00 ^*	19.00_−0.10	19.00_−0.16
Norm_r(×10⁻³)	$8 . 56_{- 0.61}^{+ 0.39}$ $8.56^{+0.39}_{-0.61}$	$4 . 75_{- 0.64}^{+ 0.57}$ $4.75^{+0.57}_{-0.64}$	$12 . 95_{- 1.62}^{+ 2.30}$ $12.95^{+2.30}_{-1.62}$	$17 . 72_{- 6.26}^{+ 3.89}$ $17.72^{+3.89}_{-6.26}$	$5 . 46_{- 0.49}^{+ 0.54}$ $5.46^{+0.54}_{-0.49}$	$2 . 11_{- 0.37}^{+ 0.44}$ $2.11^{+0.44}_{-0.37}$
Norm_CP(×10⁻²)	$6 . 56_{- 0.20}^{+ 0.17}$ $6.56^{+0.17}_{-0.20}$	$6 . 34_{- 1.07}^{+ 1.09}$ $6.34^{+1.09}_{-1.07}$	$7 . 43_{- 1.27}^{+ 1.51}$ $7.43^{+1.51}_{-1.27}$	$8 . 14_{- 1.26}^{+ 1.52}$ $8.14^{+1.52}_{-1.26}$	$1 . 71_{- 0.95}^{+ 0.10}$ $1.71^{+0.10}_{-0.95}$	1.55 ± 0.09
τ	$0 . 113_{- 0.011}^{+ 0.010}$ $0.113^{+0.010}_{-0.011}$	0.123 ± 0.010	-	-	0.129 ± 0.009	0.140 ± 0.003

χ²/ν	1532.98/1641	1520.58/1640	1131.54/1002	1131.48/1001	1353.44/1502	1343.61/1501
	(0.93)	(0.93)	(1.13)	(1.13)	(0.90)	(0.90)
AIC	1561.236	1550.873	1151.760	1153.744	1381.720	1373.930

Notes.

^(*)

a parameter fixed in the fit.

^(†)

the constant factor of FPMA for NICER and NUSTAR spectra, or the constant factor of LE for HXMT spectra.

^(§)

iron abundance in solar units.

^(★)

logarithmic value of the disk density (in cm⁻³).

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