X-ray polarization in the soft state of Cyg X-1 | Astronomy & Astrophysics (A&A)

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Table 2.

Fitted parameter values.

		Model 1	Model 2	Model 3	Model 4	Model 5
`tbabs`	N_H [10²¹ cm⁻²]	$7 . 6_{- 0.1}^{+ 0.1}$ $Mathematical equation: $ 7.6^{+0.1}_{-0.1} $$	$7 . 6_{- 0.1}^{+ 0.1}$ $Mathematical equation: $ 7.6^{+0.1}_{-0.1} $$	$8 . 5_{- 0.1}^{+ 0.1}$ $Mathematical equation: $ 8.5^{+0.1}_{-0.1} $$	$6 . 4_{- 0.2}^{+ 0.2}$ $Mathematical equation: $ 6.4^{+0.2}_{-0.2} $$	$7 . 0_{- 0.1}^{+ 0.1}$ $Mathematical equation: $ 7.0^{+0.1}_{-0.1} $$

Disk	Ṁ [10¹⁸ g s⁻¹]	$0 . 20_{- 0.01}^{+ 0.01}$ $Mathematical equation: $ 0.20^{+0.01}_{-0.01} $$	$0 . 20_{- 0.01}^{+ 0.03}$ $Mathematical equation: $ 0.20^{+0.03}_{-0.01} $$	$0 . 49_{- 0.05}^{+ 0.04}$ $Mathematical equation: $ 0.49^{+0.04}_{-0.05} $$	$0 . 24_{- 0.04}^{+ 0.03}$ $Mathematical equation: $ 0.24^{+0.03}_{-0.04} $$	$0 . 21_{- 0.01}^{+ 0.01}$ $Mathematical equation: $ 0.21^{+0.01}_{-0.01} $$
	a	$0 . 99_{- 0.03}^{+ 0.01}$ $Mathematical equation: $ 0.99^{+0.01}_{-0.03} $$	$0 . 99_{- 0.01}^{+ 0.01}$ $Mathematical equation: $ 0.99^{+0.01}_{-0.01} $$	$0_{- 0}^{+ 0.2}$ $Mathematical equation: $ 0^{+0.2}_{-0} $$	$0 . 998_{- 0.001}^{+ 0}$ $Mathematical equation: $ 0.998^{+0}_{-0.001} $$	$0 . 98_{- 0.03}^{+ 0.01}$ $Mathematical equation: $ 0.98^{+0.01}_{-0.03} $$
	i [deg]	$35_{- 1}^{+ 1}$ $Mathematical equation: $ 35^{+1}_{-1} $$	$35_{- 1}^{+ 1}$ $Mathematical equation: $ 35^{+1}_{-1} $$	$35_{- 1}^{+ 1}$ $Mathematical equation: $ 35^{+1}_{-1} $$	$35_{- 5}^{+ 3}$ $Mathematical equation: $ 35^{+3}_{-5} $$	$31_{- 2}^{+ 3}$ $Mathematical equation: $ 31^{+3}_{-2} $$
	f_col	$1 . 5_{- 0.1}^{+ 0.1}$ $Mathematical equation: $ 1.5^{+0.1}_{-0.1} $$	$1 . 5_{- 0.1}^{+ 0.1}$ $Mathematical equation: $ 1.5^{+0.1}_{-0.1} $$	$1 . 5_{- 0.3}^{+ 0.1}$ $Mathematical equation: $ 1.5^{+0.1}_{-0.3} $$	$1 . 7_{- 0.1}^{+ 0.1}$ $Mathematical equation: $ 1.7^{+0.1}_{-0.1} $$	$1 . 7_{- 0.1}^{+ 0.2}$ $Mathematical equation: $ 1.7^{+0.2}_{-0.1} $$
	Z_Fe	–	$5 . 7_{- 0.6}^{+ 0.3}$ $Mathematical equation: $ 5.7^{+0.3}_{-0.6} $$	$6 . 0_{- 0.7}^{+ 0.3}$ $Mathematical equation: $ 6.0^{+0.3}_{-0.7} $$	$10_{- 2}^{+ 0}$ $Mathematical equation: $ 10^{+0}_{-2} $$	$2 . 8_{- 0.4}^{+ 0.4}$ $Mathematical equation: $ 2.8^{+0.4}_{-0.4} $$
	log₁₀ξ	–	$4 . 0_{- 0.1}^{+ 0}$ $Mathematical equation: $ 4.0^{+0}_{-0.1} $$	$4 . 0_{- 0.1}^{+ 0}$ $Mathematical equation: $ 4.0^{+0}_{-0.1} $$	$4_{- 1}^{+ 0}$ $Mathematical equation: $ 4^{+0}_{-1} $$	$4_{- 0}^{+ 0}$ $Mathematical equation: $ 4^{+0}_{-0} $$
	log₁₀n	–	$18_{- 2}^{+ 0}$ $Mathematical equation: $ 18^{+0}_{-2} $$	$18_{- 2}^{+ 0}$ $Mathematical equation: $ 18^{+0}_{-2} $$	$18_{- 1}^{+ 0}$ $Mathematical equation: $ 18^{+0}_{-1} $$	$16_{- 0}^{+ 2}$ $Mathematical equation: $ 16^{+2}_{-0} $$

Hot corona	kT_e [keV]	$25_{- 2}^{+ 4}$ $Mathematical equation: $ 25^{+4}_{-2} $$	$25_{- 1}^{+ 2}$ $Mathematical equation: $ 25^{+2}_{-1} $$	$24_{- 1}^{+ 2}$ $Mathematical equation: $ 24^{+2}_{-1} $$	–	$9 . 1_{- 0.3}^{+ 0.5}$ $Mathematical equation: $ 9.1^{+0.5}_{-0.3} $$
	τ	$0 . 77_{- 0.05}^{+ 0.05}$ $Mathematical equation: $ 0.77^{+0.05}_{-0.05} $$	$0 . 77_{- 0.05}^{+ 0.05}$ $Mathematical equation: $ 0.77^{+0.05}_{-0.05} $$	$0 . 75_{- 0.05}^{+ 0.11}$ $Mathematical equation: $ 0.75^{+0.11}_{-0.05} $$	–	$2 . 8_{- 0.3}^{+ 0.1}$ $Mathematical equation: $ 2.8^{+0.1}_{-0.3} $$
	p	$1 . 0_{- 0}^{+ 0.5}$ $Mathematical equation: $ 1.0^{+0.5}_{-0} $$	$1 . 0_{- 0}^{+ 0.1}$ $Mathematical equation: $ 1.0^{+0.1}_{-0} $$	$1 . 1_{- 0.1}^{+ 0.2}$ $Mathematical equation: $ 1.1^{+0.2}_{-0.1} $$	–	$1 . 0_{- 0}^{+ 0.5}$ $Mathematical equation: $ 1.0^{+0.5}_{-0} $$
	γ_min	$1 . 4_{- 0.1}^{+ 0.1}$ $Mathematical equation: $ 1.4^{+0.1}_{-0.1} $$	$1 . 4_{- 0.1}^{+ 0.1}$ $Mathematical equation: $ 1.4^{+0.1}_{-0.1} $$	$1 . 5_{- 0.1}^{+ 0.2}$ $Mathematical equation: $ 1.5^{+0.2}_{-0.1} $$	–	$1 . 2_{- 0.1}^{+ 0.2}$ $Mathematical equation: $ 1.2^{+0.2}_{-0.1} $$
	γ_max	$5 . 1_{- 0.1}^{+ 0.2}$ $Mathematical equation: $ 5.1^{+0.2}_{-0.1} $$	$5 . 1_{- 0.1}^{+ 0.1}$ $Mathematical equation: $ 5.1^{+0.1}_{-0.1} $$	$5 . 5_{- 0.1}^{+ 0.1}$ $Mathematical equation: $ 5.5^{+0.1}_{-0.1} $$	–	$17_{- 1}^{+ 1}$ $Mathematical equation: $ 17^{+1}_{-1} $$
	f_sc	$0 . 43_{- 0.04}^{+ 0.04}$ $Mathematical equation: $ 0.43^{+0.04}_{-0.04} $$	$0 . 43_{- 0.05}^{+ 0.03}$ $Mathematical equation: $ 0.43^{+0.03}_{-0.05} $$	$0 . 41_{- 0.05}^{+ 0.03}$ $Mathematical equation: $ 0.41^{+0.03}_{-0.05} $$	–	$0 . 013_{- 0.004}^{+ 0.003}$ $Mathematical equation: $ 0.013^{+0.003}_{-0.004} $$

Warm corona	τ	–	–	$23_{- 3}^{+ 4}$ $Mathematical equation: $ 23^{+4}_{-3} $$	–	–
	kT_e [keV]	–	–	$0 . 49_{- 0.02}^{+ 0.01}$ $Mathematical equation: $ 0.49^{+0.01}_{-0.02} $$	–	–

Relat. refl.	ℛ	$0 . 34_{- 0.02}^{+ 0.03}$ $Mathematical equation: $ 0.34^{+0.03}_{-0.02} $$	$0 . 34_{- 0.02}^{+ 0.04}$ $Mathematical equation: $ 0.34^{+0.04}_{-0.02} $$	$0 . 31_{- 0.02}^{+ 0.02}$ $Mathematical equation: $ 0.31^{+0.02}_{-0.02} $$	–	$7 . 0_{- 0}^{+ 0.5}$ $Mathematical equation: $ 7.0^{+0.5}_{-0} $$
	a	$0 . 99_{- 0.03}^{+ 0.01}$ $Mathematical equation: $ 0.99^{+0.01}_{-0.03} $$ (l)	$0 . 99_{- 0.01}^{+ 0.01}$ $Mathematical equation: $ 0.99^{+0.01}_{-0.01} $$ (l)	$0_{- 0}^{+ 0.2}$ $Mathematical equation: $ 0^{+0.2}_{-0} $$ (l)	–	$0 . 98_{- 0.03}^{+ 0.01}$ $Mathematical equation: $ 0.98^{+0.01}_{-0.03} $$ (l)
	i [deg]	$35_{- 1}^{+ 1}$ $Mathematical equation: $ 35^{+1}_{-1} $$ (l)	$35_{- 1}^{+ 1}$ $Mathematical equation: $ 35^{+1}_{-1} $$ (l)	$35_{- 1}^{+ 1}$ $Mathematical equation: $ 35^{+1}_{-1} $$ (l)	–	$31_{- 2}^{+ 3}$ $Mathematical equation: $ 31^{+3}_{-2} $$ (l)
	β	$2 . 8_{- 0.1}^{+ 0.1}$ $Mathematical equation: $ 2.8^{+0.1}_{-0.1} $$	$2 . 8_{- 0.1}^{+ 0.1}$ $Mathematical equation: $ 2.8^{+0.1}_{-0.1} $$	$4 . 0_{- 0.3}^{+ 0.2}$ $Mathematical equation: $ 4.0^{+0.2}_{-0.3} $$	–	$2 . 0_{- 0.2}^{+ 0.1}$ $Mathematical equation: $ 2.0^{+0.1}_{-0.2} $$
	Z_Fe	$5 . 7_{- 0.7}^{+ 0.3}$ $Mathematical equation: $ 5.7^{+0.3}_{-0.7} $$	$5 . 7_{- 0.6}^{+ 0.3}$ $Mathematical equation: $ 5.7^{+0.3}_{-0.6} $$ (l)	$6 . 0_{- 0.7}^{+ 0.3}$ $Mathematical equation: $ 6.0^{+0.3}_{-0.7} $$ (l)	–	$2 . 8_{- 0.4}^{+ 0.4}$ $Mathematical equation: $ 2.8^{+0.4}_{-0.4} $$ (l)
	log₁₀ξ	$4 . 0_{- 0.2}^{+ 0.1}$ $Mathematical equation: $ 4.0^{+0.1}_{-0.2} $$	$4 . 0_{- 0.1}^{+ 0.1}$ $Mathematical equation: $ 4.0^{+0.1}_{-0.1} $$ (l)	$4 . 1_{- 0.2}^{+ 0.1}$ $Mathematical equation: $ 4.1^{+0.1}_{-0.2} $$ (l)	–	$4 . 37_{- 0.02}^{+ 0.02}$ $Mathematical equation: $ 4.37^{+0.02}_{-0.02} $$ (l)

Static refl.	ℛ	$0 . 05_{- 0.01}^{+ 0.01}$ $Mathematical equation: $ 0.05^{+0.01}_{-0.01} $$	$0 . 05_{- 0.01}^{+ 0.01}$ $Mathematical equation: $ 0.05^{+0.01}_{-0.01} $$	$0 . 04_{- 0.01}^{+ 0.01}$ $Mathematical equation: $ 0.04^{+0.01}_{-0.01} $$	< 1	$0 . 7_{- 0.1}^{+ 0.1}$ $Mathematical equation: $ 0.7^{+0.1}_{-0.1} $$

	χ_ν²	665/637	660/636	654/634	536902/170	761/636

Notes. Models 1, 2, 3, and 5 are fitted to the NICER, NuSTAR, ISGRI, and OSSE data. Model 4 is fitted to NICER and NuSTAR data only. In all models M_BH = 21.2 M_⊙ and D = 2.22 kpc. (l) denotes a linked parameter; the ξ parameters listed under the columns labeled “disk” and “relativistic reflection” differ due to limitations of xillverNS; see text.

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