Radiation mechanism of twin kilohertz quasi-periodic oscillations in neutron star low-mass X-ray binaries

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Table B.1.

Frequencies of twin kHz QPOs and the best parameters in 4U 1636–53.

Input parameters		The first fitted parameters					The second fitted parameter		Characteristic values

f_l (Hz)	f_u (Hz)	τ	L (km)	kT_e (keV)	kT_b (keV)	𝒳²/d.o.f.	L₂ (km)	𝒳²/d.o.f.	η	$Δ {\dot{H}}_{1}$ $\Delta {\dot{H}_1}$	$Δ {\dot{H}}_{2}$ $\Delta {\dot{H}_2}$
558.15 ± 6.92	$879 . 25_{- 5.61}^{+ 5.49}$ $879.25_{-5.61}^{+5.49}$	8.4 ± 0.5	9.1 ± 2.2	3.6 ± 0.3	0.1966 ± 0.0002	36 / 44	9.08 ± 0.01	47 / 47	1.0	9.69	16.20
574.42 ± 5.43	$884 . 05_{- 4.40}^{+ 4.52}$ $884.05_{-4.40}^{+4.52}$	9.4 ± 0.1	3.7 ± 0.1	3.16 ± 0.01	0.2062 ± 0.0001	38 / 44	3.670 ± 0.002	47 / 47	0.0	4.05	13.70
575.87 ± 2.74	909.49 ± 3.83	8.9 ± 0.2	12.0 ± 0.4	3.33 ± 0.07	0.19971 ± 0.00004	25 / 44	11.880 ± 0.009	47 / 47	1.0	12.86	27.65
590.01 ± 6.37	867.78 ± 3.78	8.2 ± 0.2	9.8 ± 1.8	3.63 ± 0.07	0.1966 ± 0.0001	20 / 44	9.722 ± 0.007	49 / 47	1.0	14.73	25.04
612.14 ± 5.04	906.11 ± 4.47	8.3 ± 0.4	5.7 ± 0.3	3.46 ± 0.2	0.1997 ± 0.0001	24 / 45	5.63 ± 0.00	49 / 48	1.0	12.77	15.01
637.41 ± 4.86	$930 . 24_{- 12.55}^{+ 12.70}$ $930.24_{-12.55}^{+12.70}$	10.1 ± 0.1	4.0 ± 0.9	2.89 ± 0.07	0.1988 ± 0.0001	14 / 44	3.953 ± 0.002	48 / 47	0.5	11.94	13.62
640.23 ± 2.72	964.57 ± 5.50	10.0 ± 0.4	6.0 ± 0.1	2.9 ± 0.1	0.20089 ± 0.00004	77 / 44	5.914 ± 0.005	47 / 47	0.5	12.96	14.91
649.55 ± 4.28	936.25 ± 10.28	8.3 ± 0.6	2.6 ± 0.3	3.5 ± 0.3	0.1978 ± 0.0004	36 / 44	2.5603 ± 0.0001	56 / 47	0.4	13.08	13.62
650.68 ± 4.23	$991 . 97_{- 11.29}^{+ 8.71}$ $991.97_{-11.29}^{+8.71}$	8.6 ± 0.5	6.9 ± 0.5	3.3 ± 0.2	0.2078 ± 0.0003	32 / 44	6.841 ± 0.007	46 / 47	0.1	10.14	12.14
$653 . 58_{- 3.82}^{+ 3.66}$ $653.58_{-3.82}^{+3.66}$	984.64 ± 5.69	8.4 ± 0.7	7.9 ± 0.1	3.5 ± 0.4	0.2013 ± 0.0002	30 / 45	7.694 ± 0.018	49 / 48	0.0	16.19	22.56
659.10 ± 2.12	975.20 ± 4.12	9.6 ± 0.8	5.4 ± 0.4	2.9 ± 0.3	0.1989 ± 0.0002	26 / 44	5.385 ± 0.001	48 / 47	0.6	17.03	13.25
675.51 ± 1.42	970.16 ± 4.83	9.2 ± 0.8	6.4 ± 0.9	3.1 ± 0.3	0.2094 ± 0.0001	6 / 45	6.392 ± 0.003	49 / 48	0.0	10.88	12.45
689.14 ± 42.36	1022.49 ± 42.36	9.2 ± 0.9	2.8 ± 0.6	3.1 ± 0.3	0.2000 ± 0.0001	23 / 44	2.751 ± 0.003	50 / 47	0.1	14.60	11.47
696.99 ± 1.01	1007.83 ± 9.49	8.6 ± 0.3	4.8 ± 0.8	3.3 ± 0.1	0.1998 ± 0.0001	30 / 44	4.7770 ± 0.0003	48 / 47	0.5	19.93	12.71
700.10 ± 2.72	1005.88 ± 7.68	9.5 ± 0.7	8.4 ± 0.7	3.0 ± 0.3	0.2003 ± 0.0002	15 / 44	8.332 ± 0.006	47 / 47	1.0	24.10	14.50
$718 . 56_{- 1.78}^{+ 1.81}$ $718.56 _{-1.78}^{+1.81}$	988.76 ± 12.25	9.5 ± 0.2	5.3 ± 0.6	2.99 ± 0.07	0.19973 ± 0.00006	13 / 44	5.256 ± 0.003	49 / 47	0.4	20.84	14.45
770.02 ± 42.55	1092.21 ± 42.55	9.7 ± 0.4	5.0 ± 0.9	2.9 ± 0.1	0.2039 ± 0.0003	24 / 44	4.9465 ± 0.0003	48 / 47	0.2	18.86	10.09
772.80 ± 1.33	1070.88 ± 7.04	9.9 ± 0.4	8.2 ± 0.3	2.9 ± 0.1	0.2052 ± 0.0001	36 / 44	8.115 ± 0.005	46 / 47	0.1	21.47	13.77
877.07 ± 29.23	1126.12 ± 29.23	10.0 ± 0.2	7.5 ± 0.1	2.75 ± 0.06	0.2137 ± 0.0002	51 / 48	7.473 ± 0.004	52 / 51	0.0	12.04	7.86
883.19 ± 3.67	1187.03 ± 6.72	9.2 ± 0.3	3.9 ± 0.2	3.0 ± 0.1	0.2106 ± 0.0001	59 / 48	3.871 ± 0.001	51 / 51	0.0	9.53	4.88
883.44 ± 1.10	1132.73 ± 6.47	10.2 ± 0.6	6.4 ± 0.4	2.7 ± 0.1	0.2130 ± 0.0005	21 / 44	6.351 ± 0.003	48 / 47	0.0	10.79	7.05
913.75 ± 40.91	1161.56 ± 40.91	9.2 ± 0.1	8.7 ± 0.6	2.94 ± 0.07	0.2133 ± 0.0003	36 / 48	8.644 ± 0.005	50 / 51	0.0	12.12	7.97
913.98 ± 2.97	1223.44 ± 6.32	9.4 ± 0.1	4.8 ± 1.5	2.98 ± 0.03	0.20961 ± 0.00003	43 / 48	4.713 ± 0.001	51 / 51	0.0	9.07	4.40
$922 . 59_{- 2.13}^{+ 1.62}$ $922.59_{-2.13}^{+1.62}$	1164.83 ± 5.82	8.9 ± 0.4	5.3 ± 0.8	3.0 ± 0.1	0.2119 ± 0.0001	44 / 44	5.2900 ± 0.0004	48 / 47	0.0	8.93	6.17
923.31 ± 3.91	$1193 . 66_{- 4.91}^{+ 4.78}$ $1193.66_{-4.91}^{+4.78}$	10.3 ± 0.3	6.9 ± 0.4	2.64 ± 0.05	0.2154 ± 0.0002	48 / 48	6.869 ± 0.003	52 / 51	0.0	8.46	4.90
$925 . 03_{- 4.43}^{+ 4.44}$ $925.03_{-4.43}^{+4.44}$	1191.40 ± 2.57	9.6 ± 0.3	6.3 ± 0.6	2.82 ± 0.09	0.2122 ± 0.0002	14 / 48	6.219 ± 0.002	52 / 51	0.0	9.20	5.57
$932 . 44_{- 5.14}^{+ 5.28}$ $932.44_{-5.14}^{+5.28}$	1191.81 ± 5.26	9.96 ± 0.06	7.1 ± 0.1	2.73 ± 0.01	0.21029 ± 0.00006	32 / 44	7.0306 ± 0.0001	48 / 47	0.0	10.77	6.88
$948 . 89_{- 14.11}^{+ 11.18}$ $948.89_{-14.11}^{+11.18}$	$1197 . 21_{- 3.77}^{+ 3.68}$ $1197.21_{-3.77}^{+3.68}$	9.1 ± 0.2	9.9 ± 0.7	2.91 ± 0.07	0.2091 ± 0.0002	20 / 44	9.8445 ± 0.0001	48 / 47	0.1	15.10	10.11

Notes. This table lists the frequencies of 28 twin kHz QPOs and the best parameters in 4U 1636–53 for every group of twin QPOs. The first two parameters (f_l and f_u) in the first column are from the observation and the values of other parameters are obtained from this model.

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