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.1.

Fitting results with diskbb+reflection model

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

const_N	0.985 ± 0.006	0.984 ± 0.006	$1 . 058_{- 0.003}^{+ 0.004}$ $1.058^{+0.004}_{-0.003}$	$1 . 057_{- 0.002}^{+ 0.003}$ $1.057^{+0.003}_{-0.002}$	-	-	1.050 ± 0.002	1.050 ± 0.002
^†const_A/const_LE	1.021 ± 0.005	1.021 ± 0.005	$1 . 033_{- 0.002}^{+ 0.002}$ $1.033^{+0.002}_{-0.002}$	1.035 ± 0.002	$1 . 062_{- 0.026}^{+ 0.027}$ $1.062^{+0.027}_{-0.026}$	$1 . 062_{- 0.026}^{+ 0.027}$ $1.062^{+0.027}_{-0.026}$	1.022 ± 0.003	1.022 ± 0.003
T_in (keV)	$0 . 33_{- 0.06}^{+ 0.05}$ $0.33^{+0.05}_{-0.06}$	$0 . 31_{- 0.04}^{+ 0.05}$ $0.31^{+0.05}_{-0.04}$	$0 . 869_{- 0.002}^{+ 0.001}$ $0.869^{+0.001}_{-0.002}$	0.869 ± 0.002	0.933 ± 0.002	$0 . 933_{- 0.001}^{+ 0.002}$ $0.933^{+0.002}_{-0.001}$	0.820 ± 0.001	0.820 ± 0.001
Norm_d(×10³)	$7 . 18_{- 4.13}^{+ 16.12}$ $7.18^{+16.12}_{-4.13}$	$10 . 07_{- 6.15}^{+ 18.04}$ $10.07^{+18.04}_{-6.15}$	$1 . 26_{- 0.01}^{+ 0.02}$ $1.26^{+0.02}_{-0.01}$	1.27 ± 0.01	$1 . 44_{- 0.04}^{+ 0.03}$ $1.44^{+0.03}_{-0.04}$	$1 . 44_{- 0.4}^{+ 0.3}$ $1.44^{+0.3}_{-0.4}$	1.35 ± 0.01	1.35 ± 0.01
a	0.998 ^*	0.998_−1.213	0.998 ^*	−0.998^+0.510	0.998 ^*	0.935_−0.109	0.998 ^*	0.671^+0.178^‡
Incl(°)	$35 . 72_{- 4.52}^{+ 2.83}$ $35.72^{+2.83}_{-4.52}$	< 20.82	$45 . 38_{- 2.10}^{+ 2.08}$ $45.38^{+2.08}_{-2.10}$	$35 . 92_{- 2.40}^{+ 3.05}$ $35.92^{+3.05}_{-2.40}$	$37 . 43_{- 2.24}^{+ 2.09}$ $37.43^{+2.09}_{-2.24}$	$37 . 36_{- 2.26}^{+ 2.05}$ $37.36^{+2.05}_{-2.26}$	$52 . 69_{- 1.86}^{+ 1.89}$ $52.69^{+1.89}_{-1.86}$	$50 . 42_{- 2.92}^{+ 2.75}$ $50.42^{+2.75}_{-2.92}$
r_in(r_ISCO)	$- 3 . 50_{- 1.60}^{+ 0.91}$ $-3.50^{+0.91}_{-1.60}$	$- 5 . 82_{- 1.75}^{+ 2.13}$ $-5.82^{+2.13}_{-1.75}$	-1 ^*	-1 ^*	-1 ^*	-1 ^*	-1 ^*	-1 ^*
Γ	$1 . 77_{- 0.01}^{+ 0.02}$ $1.77^{+0.02}_{-0.01}$	$1 . 77_{- 0.02}^{+ 0.01}$ $1.77^{+0.01}_{-0.02}$	$1 . 98_{- 0.02}^{+ 0.05}$ $1.98^{+0.05}_{-0.02}$	$1 . 98_{- 0.07}^{+ 0.03}$ $1.98^{+0.03}_{-0.07}$	$2 . 90_{- 0.11}^{+ 0.07}$ $2.90^{+0.07}_{-0.11}$	$2 . 92_{- 0.13}^{+ 0.06}$ $2.92^{+0.06}_{-0.13}$	$2 . 16_{- 0.05}^{+ 0.04}$ $2.16^{+0.04}_{-0.05}$	2.12 ± 0.03
Log(ξ)	$3 . 66_{- 0.15}^{+ 0.37}$ $3.66^{+0.37}_{-0.15}$	$3 . 96_{- 0.07}^{+ 0.20}$ $3.96^{+0.20}_{-0.07}$	$3 . 73_{- 0.07}^{+ 0.08}$ $3.73^{+0.08}_{-0.07}$	$3 . 80_{- 0.12}^{+ 0.09}$ $3.80^{+0.09}_{-0.12}$	< 1.75	< 1.75	< 1.33	< 1.45
^§A_Fe	4.91_−2.06	$5 . 01_{- 1.14}^{+ 0.73}$ $5.01^{+0.73}_{-1.14}$	6.00_−1.30	6.00_−2.00	$2 . 51_{- 0.45}^{+ 0.40}$ $2.51^{+0.40}_{-0.45}$	$2 . 37_{- 0.55}^{+ 0.51}$ $2.37^{+0.51}_{-0.55}$	6.00_−0.65	6.00_−1.10
E_cut (keV)	$71 . 81_{- 4.51}^{+ 8.38}$ $71.81^{+8.38}_{-4.51}$	$77 . 29_{- 4.88}^{+ 7.52}$ $77.29^{+7.52}_{-4.88}$	200.07_−43.30	209.72_−80.98	60.00 ^*	60.00 ^*	300.00_−95.16	300.00_−140.50
Norm_r(×10⁻³)	$4 . 84_{- 0.79}^{+ 2.94}$ $4.84^{+2.94}_{-0.79}$	$4 . 03_{- 0.49}^{+ 0.96}$ $4.03^{+0.96}_{-0.49}$	$1 . 84_{- 0.19}^{+ 0.30}$ $1.84^{+0.30}_{-0.19}$	$1 . 16_{- 0.22}^{+ 0.09}$ $1.16^{+0.09}_{-0.22}$	$142 . 89_{- 59.52}^{+ 72.72}$ $142.89^{+72.72}_{-59.52}$	$151 . 76_{- 58.47}^{+ 58.30}$ $151.76^{+58.30}_{-58.47}$	$1 . 53_{- 0.13}^{+ 0.33}$ $1.53^{+0.33}_{-0.13}$	$1 . 11_{- 0.10}^{+ 0.30}$ $1.11^{+0.30}_{-0.10}$
Norm_PL	$1 . 36_{- 0.17}^{+ 0.08}$ $1.36^{+0.08}_{-0.17}$	$1 . 28_{- 0.18}^{+ 0.07}$ $1.28^{+0.07}_{-0.18}$	$0 . 138_{- 0.017}^{+ 0.019}$ $0.138^{+0.019}_{-0.017}$	$0 . 146_{- 0.015}^{+ 0.012}$ $0.146^{+0.012}_{-0.015}$	< 0.041	< 0.041	$0 . 067_{- 0.003}^{+ 0.006}$ $0.067^{+0.006}_{-0.003}$	$0 . 063_{- 0.006}^{+ 0.005}$ $0.063^{+0.005}_{-0.006}$
τ	0.117 ± 0.005	0.115 ± 0.05	0.140 ± 0.009	$0 . 141_{- 0.008}^{+ 0.009}$ $0.141^{+0.009}_{-0.008}$	-	-	0.153 ± 0.003	$0 . 154_{- 0.008}^{+ 0.07}$ $0.154^{+0.07}_{-0.008}$

χ²/ν	2139.36/2113	2134.35/2112	1548.60 /1643	1527.53/1642	1180.06/1003	1179.77/1002	1394.16/1504	1385.22/1503
	(1.01)	(1.01)	(0.94)	(0.93)	(1.176)	(1.76)	(0.93)	(0.92)
AIC	2165.532	2162.549	1572.790	1553.752	1198.240	1199.990	1418.368	1411.462

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

const_N	1.056 ± 0.004	1.056 ± 0.004	-	-	1.045 ± 0.003	1.045 ± 0.003
const_A/const_LE	1.035 ± 0.002	1.035 ± 0.002	$1 . 020_{- 0.019}^{+ 0.030}$ $1.020^{+0.030}_{-0.019}$	$1 . 020_{- 0.019}^{+ 0.030}$ $1.020^{+0.030}_{-0.019}$	1.022 ± 0.003	1.022 ± 0.003
T_in (keV)	0.799 ± 0.006	$0 . 800_{- 0.006}^{+ 0.004}$ $0.800^{+0.004}_{-0.006}$	0.872 ± 0.010	$0 . 870_{- 0.011}^{+ 0.012}$ $0.870^{+0.012}_{-0.011}$	$0 . 721_{- 0.005}^{+ 0.012}$ $0.721^{+0.012}_{-0.005}$	$0 . 721_{- 0.010}^{+ 0.011}$ $0.721^{+0.011}_{-0.010}$
Norm_d(×10³)	$1 . 45_{- 0.02}^{+ 0.03}$ $1.45^{+0.03}_{-0.02}$	1.48 ± 0.02	1.56 ± 0.55	$1 . 60_{- 0.08}^{+ 0.06}$ $1.60^{+0.06}_{-0.08}$	$1 . 38_{- 0.12}^{+ 0.11}$ $1.38^{+0.11}_{-0.12}$	$1 . 38_{- 0.11}^{+ 0.21}$ $1.38^{+0.21}_{-0.11}$
a	0.998 ^*	$0 . 933_{- 0.030}^{+ 0.028}$ $0.933^{+0.028}_{-0.030}$	0.998 ^*	$0 . 814_{- 0.180}^{+ 0.184}$ $0.814^{+0.184}_{-0.180}$	0.998 ^*	0.998_−0.353(−0.998^+0.100)
Incl(°)	$61 . 77_{- 1.34}^{+ 1.70}$ $61.77^{+1.70}_{-1.34}$	$61 . 37_{- 1.40}^{+ 1.36}$ $61.37^{+1.36}_{-1.40}$	$29 . 15_{- 3.09}^{+ 3.06}$ $29.15^{+3.06}_{-3.09}$	$28 . 95_{- 3.01}^{+ 2.83}$ $28.95^{+2.83}_{-3.01}$	$53 . 28_{- 1.91}^{+ 3.29}$ $53.28^{+3.29}_{-1.91}$	$53 . 28_{- 1.90}^{+ 2.65}$ $53.28^{+2.65}_{-1.90}$
Γ	$1 . 887_{- 0.019}^{+ 0.011}$ $1.887^{+0.011}_{-0.019}$	1.888 ± 0.010	$2 . 06_{- 0.08}^{+ 0.09}$ $2.06^{+0.09}_{-0.08}$	$2 . 06_{- 0.08}^{+ 0.09}$ $2.06^{+0.09}_{-0.08}$	$1 . 86_{- 0.02}^{+ 0.03}$ $1.86^{+0.03}_{-0.02}$	$1 . 86_{- 0.02}^{+ 0.04}$ $1.86^{+0.04}_{-0.02}$
Log(ξ)	$2 . 37_{- 0.06}^{+ 0.10}$ $2.37^{+0.10}_{-0.06}$	$2 . 36_{- 0.04}^{+ 0.09}$ $2.36^{+0.09}_{-0.04}$	2.54 ± 0.05	2.54 ± 0.05	$3 . 72_{- 0.06}^{+ 0.20}$ $3.72^{+0.20}_{-0.06}$	$3 . 72_{- 0.05}^{+ 0.23}$ $3.72^{+0.23}_{-0.05}$
^§A_Fe	$0 . 86_{- 0.05}^{+ 0.07}$ $0.86^{+0.07}_{-0.05}$	$0 . 86_{- 0.09}^{+ 0.08}$ $0.86^{+0.08}_{-0.09}$	6.00_−1.29	6.00_−1.23	$3 . 45_{- 0.50}^{+ 0.54}$ $3.45^{+0.54}_{-0.50}$	$3 . 45_{- 0.55}^{1.65}$ $3.45^{1.65}_{-0.55}$
kT_e (keV)	30.0^+1.63	30.0^+1.68	60.00 ^*	60.00 ^*	299.29_−241.52	300.00_−243.79
^★Log (n)	18.98_−1.38	18.98_−0.91	19.00 ^*	19.00 ^*	19.00_−0.55	19.00_−0.95
Norm_r(×10⁻³)	$9 . 47_{- 0.71}^{+ 0.60}$ $9.47^{+0.60}_{-0.71}$	$8 . 25_{- 0.43}^{+ 0.57}$ $8.25^{+0.57}_{-0.43}$	$15 . 38_{- 2.69}^{+ 3.17}$ $15.38^{+3.17}_{-2.69}$	$13 . 24_{- 2.68}^{+ 5.22}$ $13.24^{+5.22}_{-2.68}$	$6 . 74_{- 1.33}^{+ 1.11}$ $6.74^{+1.11}_{-1.33}$	$6 . 74_{- 1.67}^{+ 1.10}$ $6.74^{+1.10}_{-1.67}$
Norm_CP	$0 . 067_{- 0.002}^{+ 0.001}$ $0.067^{+0.001}_{-0.002}$	$0 . 066_{- 0.001}^{+ 0.004}$ $0.066^{+0.004}_{-0.001}$	$0 . 065_{- 0.009}^{+ 0.012}$ $0.065^{+0.012}_{-0.009}$	$0 . 066_{- 0.010}^{+ 0.011}$ $0.066^{+0.011}_{-0.010}$	$0 . 019_{- 0.001}^{+ 0.002}$ $0.019^{+0.002}_{-0.001}$	$0 . 019_{- 0.001}^{+ 0.002}$ $0.019^{+0.002}_{-0.001}$
τ	0.164 ± 0.010	$0 . 164_{- 0.010}^{+ 0.011}$ $0.164^{+0.011}_{-0.010}$	-	-	0.155 ± 0.003	0.155 ± 0.003

χ²/ν	1597.71/1642	1594.18/1641	1144.80/1002	1145.48/1001	1401.33/1503	1401.29/1502
	(0.97)	(0.97)	(1.14)	(1.14)	(0.93)	(0.93)
AIC	1623.932	1622.436	1163.110	1160.944	1427.572	1429.570

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.

^(‡)

the upper limit hits the hard boundary for the parameter.

^(§)

iron abundance in solar units.

^(★)

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

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