Studying X-ray spectra from large-scale jets of Fanaroff–Riley type I radio galaxies: Application of shear particle acceleration

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Volume 708 (April 2026)

A&A, 708 (2026) A365

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Table A.4.

Derived parameters of the jet dynamics.

Source	Type	β_0, p	β_0, g	β_0, l	α₋	E_e, max	P_bright/L_edd	Doppler factor
						[TeV]	[ × 10⁻⁴]
M 87	D	0.69 ± 0.03	0.78 ± 0.03	0.64 ± 0.02	2.99 ± 0.13	$491_{- 243}^{+ 526}$ $Mathematical equation: $ 491^{+526}_{-243} $$	$0 . 02_{- 0.01}^{+ 0.02}$ $Mathematical equation: $ 0.02^{+0.02}_{-0.01} $$	1.83 ± 0.05
	E	$0 . 55_{- 0.12}^{+ 0.09}$ $Mathematical equation: $ 0.55^{+0.09}_{-0.12} $$	$0 . 75_{- 0.07}^{+ 0.05}$ $Mathematical equation: $ 0.75^{+0.05}_{-0.07} $$	$0 . 55_{- 0.07}^{+ 0.06}$ $Mathematical equation: $ 0.55^{+0.06}_{-0.07} $$	$3 . 53_{- 0.39}^{+ 0.59}$ $Mathematical equation: $ 3.53^{+0.59}_{-0.39} $$	$776_{- 371}^{+ 678}$ $Mathematical equation: $ 776^{+678}_{-371} $$	$0 . 02_{- 0.01}^{+ 0.02}$ $Mathematical equation: $ 0.02^{+0.02}_{-0.01} $$	1.66 ± 0.11
	F	0.77 ± 0.10	0.88 ± 0.06	$0 . 71_{- 0.07}^{+ 0.10}$ $Mathematical equation: $ 0.71^{+0.10}_{-0.07} $$	$2 . 65_{- 0.39}^{+ 0.36}$ $Mathematical equation: $ 2.65^{+0.36}_{-0.39} $$	$292_{- 122}^{+ 295}$ $Mathematical equation: $ 292^{+295}_{-122} $$	$0 . 01_{- 0.01}^{+ 0.01}$ $Mathematical equation: $ 0.01^{+0.01}_{-0.01} $$	$1 . 97_{- 0.15}^{+ 0.23}$ $Mathematical equation: $ 1.97^{+0.23}_{-0.15} $$
	I	0.47 ± 0.04	0.57 ± 0.04	0.49 ± 0.02	3.95 ± 0.19	$879_{- 418}^{+ 732}$ $Mathematical equation: $ 879^{+732}_{-418} $$	$0 . 12_{- 0.05}^{+ 0.08}$ $Mathematical equation: $ 0.12^{+0.08}_{-0.05} $$	1.58 ± 0.04
	A	$0 . 56_{- 0.04}^{+ 0.07}$ $Mathematical equation: $ 0.56^{+0.07}_{-0.04} $$	$0 . 66_{- 0.04}^{+ 0.07}$ $Mathematical equation: $ 0.66^{+0.07}_{-0.04} $$	$0 . 55_{- 0.02}^{+ 0.05}$ $Mathematical equation: $ 0.55^{+0.05}_{-0.02} $$	$3 . 52_{- 0.30}^{+ 0.18}$ $Mathematical equation: $ 3.52^{+0.18}_{-0.30} $$	$616_{- 277}^{+ 634}$ $Mathematical equation: $ 616^{+634}_{-277} $$	$0 . 33_{- 0.14}^{+ 0.30}$ $Mathematical equation: $ 0.33^{+0.30}_{-0.14} $$	$1 . 67_{- 0.04}^{+ 0.08}$ $Mathematical equation: $ 1.67^{+0.08}_{-0.04} $$
	B	0.58 ± 0.04	0.69 ± 0.04	0.57 ± 0.03	$3 . 40_{- 0.17}^{+ 0.15}$ $Mathematical equation: $ 3.40^{+0.15}_{-0.17} $$	$282_{- 108}^{+ 238}$ $Mathematical equation: $ 282^{+238}_{-108} $$	$0 . 12_{- 0.04}^{+ 0.08}$ $Mathematical equation: $ 0.12^{+0.08}_{-0.04} $$	$1 . 70_{- 0.04}^{+ 0.05}$ $Mathematical equation: $ 1.70^{+0.05}_{-0.04} $$
	C	0.72 ± 0.03	0.81 ± 0.03	0.67 ± 0.03	$2 . 85_{- 0.12}^{+ 0.15}$ $Mathematical equation: $ 2.85^{+0.15}_{-0.12} $$	$869_{- 431}^{+ 649}$ $Mathematical equation: $ 869^{+649}_{-431} $$	$0 . 23_{- 0.10}^{+ 0.13}$ $Mathematical equation: $ 0.23^{+0.13}_{-0.10} $$	1.88 ± 0.06

3C 31	Jet	$0 . 91_{- 0.03}^{+ 0.02}$ $Mathematical equation: $ 0.91^{+0.02}_{-0.03} $$	0.95 ± 0.01	$0 . 85_{- 0.04}^{+ 0.03}$ $Mathematical equation: $ 0.85^{+0.03}_{-0.04} $$	$2 . 12_{- 0.09}^{+ 0.12}$ $Mathematical equation: $ 2.12^{+0.12}_{-0.09} $$	$127_{- 44.0}^{+ 92.4}$ $Mathematical equation: $ 127^{+92.4}_{-44.0} $$	$6 . 98_{- 3.06}^{+ 5.75}$ $Mathematical equation: $ 6.98^{+5.75}_{-3.06} $$	1.10 ± 0.06
3C 264	Jet	$0 . 61_{- 0.04}^{+ 0.10}$ $Mathematical equation: $ 0.61^{+0.10}_{-0.04} $$	$0 . 71_{- 0.04}^{+ 0.09}$ $Mathematical equation: $ 0.71^{+0.09}_{-0.04} $$	$0 . 59_{- 0.03}^{+ 0.07}$ $Mathematical equation: $ 0.59^{+0.07}_{-0.03} $$	$3 . 28_{- 0.38}^{+ 0.18}$ $Mathematical equation: $ 3.28^{+0.18}_{-0.38} $$	$509_{- 240}^{+ 500}$ $Mathematical equation: $ 509^{+500}_{-240} $$	$3 . 30_{- 3.29}^{+ 3.94}$ $Mathematical equation: $ 3.30^{+3.94}_{-3.29} $$	1.30 ± 0.01
3C 296	Jet	0.93 ± 0.03	0.96 ± 0.02	0.88 ± 0.04	2.03 ± 0.13	$40 . 8_{- 14.9}^{+ 30.8}$ $Mathematical equation: $ 40.8^{+30.8}_{-14.9} $$	$0 . 34_{- 0.13}^{+ 0.26}$ $Mathematical equation: $ 0.34^{+0.26}_{-0.13} $$	$0 . 90_{- 0.13}^{+ 0.09}$ $Mathematical equation: $ 0.90^{+0.09}_{-0.13} $$
3C 15	C	0.93 ± 0.02	0.96 ± 0.01	0.88 ± 0.03	2.02 ± 0.10	$122_{- 38.9}^{+ 84.3}$ $Mathematical equation: $ 122^{+84.3}_{-38.9} $$	$84 . 1_{- 33.8}^{+ 59.8}$ $Mathematical equation: $ 84.1^{+59.8}_{-33.8} $$	$1 . 10_{- 0.09}^{+ 0.07}$ $Mathematical equation: $ 1.10^{+0.07}_{-0.09} $$
3C 346	Knot	0.77 ± 0.06	0.84 ± 0.05	0.70 ± 0.06	$2 . 69_{- 0.23}^{+ 0.22}$ $Mathematical equation: $ 2.69^{+0.22}_{-0.23} $$	$167_{- 92.2}^{+ 173}$ $Mathematical equation: $ 167^{+173}_{-92.2} $$	$7 . 45_{- 4.77}^{+ 10.6}$ $Mathematical equation: $ 7.45^{+10.6}_{-4.77} $$	$2 . 23_{- 0.16}^{+ 0.23}$ $Mathematical equation: $ 2.23^{+0.23}_{-0.16} $$
M 84	A	0.73 ± 0.05	0.81 ± 0.04	0.67 ± 0.04	2.83 ± 0.17	$909_{- 424}^{+ 685}$ $Mathematical equation: $ 909^{+685}_{-424} $$	$0 . 47_{- 0.20}^{+ 0.36}$ $Mathematical equation: $ 0.47^{+0.36}_{-0.20} $$	0.91 ± 0.02
	B	0.72 ± 0.05	0.81 ± 0.04	0.66 ± 0.04	$2 . 85_{- 0.20}^{+ 0.22}$ $Mathematical equation: $ 2.85^{+0.22}_{-0.20} $$	$879_{- 524}^{+ 1385}$ $Mathematical equation: $ 879^{+1385}_{-524} $$	$1 . 10_{- 0.56}^{+ 1.16}$ $Mathematical equation: $ 1.10^{+1.16}_{-0.56} $$	0.91 ± 0.03

3C 66B	A	$0 . 74_{- 0.08}^{+ 0.07}$ $Mathematical equation: $ 0.74^{+0.07}_{-0.08} $$	$0 . 82_{- 0.07}^{+ 0.06}$ $Mathematical equation: $ 0.82^{ +0.06}_{-0.07} $$	$0 . 68_{- 0.06}^{+ 0.06}$ $Mathematical equation: $ 0.68^{+0.06}_{-0.06} $$	$2 . 79_{- 0.26}^{+ 0.32}$ $Mathematical equation: $ 2.79^{+0.32}_{-0.26} $$	$236_{- 121}^{+ 305}$ $Mathematical equation: $ 236^{+305}_{-121} $$	$0 . 06_{- 0.01}^{+ 0.02}$ $Mathematical equation: $ 0.06^{+0.02}_{-0.01} $$	$1 . 41_{- 0.02}^{+ 0.01}$ $Mathematical equation: $ 1.41^{+0.01}_{-0.02} $$
	B	$0 . 69_{- 0.09}^{+ 0.08}$ $Mathematical equation: $ 0.69^{+0.08}_{-0.09} $$	$0 . 78_{- 0.08}^{+ 0.07}$ $Mathematical equation: $ 0.78^{+0.07}_{-0.08} $$	$0 . 64_{- 0.06}^{+ 0.07}$ $Mathematical equation: $ 0.64^{+0.07}_{-0.06} $$	$2 . 98_{- 0.32}^{+ 0.35}$ $Mathematical equation: $ 2.98^{+0.35}_{-0.32} $$	$102_{- 54.3}^{+ 129}$ $Mathematical equation: $ 102^{+129}_{-54.3} $$	$0 . 83_{- 0.05}^{+ 2.62}$ $Mathematical equation: $ 0.83^{+2.62}_{-0.05} $$	$1 . 40_{- 0.02}^{+ 0.01}$ $Mathematical equation: $ 1.40^{+0.01}_{-0.02} $$
NGC 4261	Jet	$0 . 93_{- 0.05}^{+ 0.03}$ $Mathematical equation: $ 0.93^{+0.03}_{-0.05} $$	0.96 ± 0.02	$0 . 87_{- 0.06}^{+ 0.04}$ $Mathematical equation: $ 0.87^{+0.04}_{-0.06} $$	$2 . 04_{- 0.14}^{+ 0.20}$ $Mathematical equation: $ 2.04^{+0.20}_{-0.14} $$	$39 . 3_{- 14.2}^{+ 25.8}$ $Mathematical equation: $ 39.3^{+25.8}_{-14.2} $$	$0 . 09_{- 0.07}^{+ 0.02}$ $Mathematical equation: $ 0.09^{+0.02}_{-0.07} $$	$0 . 86_{- 0.13}^{+ 0.11}$ $Mathematical equation: $ 0.86^{+0.11}_{-0.13} $$

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