Cocoon shock, X-ray cavities, and extended inverse Compton emission in Hercules A: Clues from Chandra observations

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Volume 693 (January 2025)

A&A, 693 (2025) A171

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Table 1.

Surface brightness analysis of the shock fronts.

Edge	θ_in	θ_out	J	r_J	log A_s	α₁	α₂	r_l	log A_l	χ²/	ℳ_SB
	[°]	[°]		[arcmin]	[cts/s/				[cts/s/	d.o.f.
					arcmin²]				arcmin³]
North ^(a)	60	150	$1 . 95_{- 0.09}^{+ 0.05}$ $1.95^{+0.05}_{-0.09}$	$0 . 923_{- 0.003}^{+ 0.005}$ $0.923^{+0.005}_{-0.003}$	$- 1 . 05_{- 0.02}^{+ 0.02}$ $-1.05^{+0.02}_{-0.02}$	0.26 ± 0.06	1.60 ± 0.06	–	–	1.451 (79)	$1 . 69_{- 0.08}^{+ 0.04}$ $1.69^{+0.04}_{-0.08}$
South ^(a)	230	320	$1 . 85_{- 0.08}^{+ 0.08}$ $1.85^{+0.08}_{-0.08}$	$0 . 941_{- 0.006}^{+ 0.006}$ $0.941^{+0.006}_{-0.006}$	$- 1 . 09_{- 0.02}^{+ 0.02}$ $-1.09^{+0.02}_{-0.02}$	0.24 ± 0.04	1.49 ± 0.06	–	–	0.915 (79)	$1 . 61_{- 0.06}^{+ 0.06}$ $1.61^{+0.06}_{-0.06}$
East	100	280	$2 . 30_{- 0.43}^{+ 0.70}$ $2.30^{+0.70}_{-0.43}$	$0 . 870_{- 0.042}^{+ 0.061}$ $0.870^{+0.061}_{-0.042}$	$- 1 . 45_{- 0.06}^{+ 0.06}$ $-1.45^{+0.06}_{-0.06}$	0.70 ± 0.40	0.62 ± 0.16	0.59 ± 0.01	$- 1 . 40_{- 0.03}^{+ 0.02}$ ${-1.40^{+0.02}_{-0.03}}$	1.364 (28)	$2 . 06_{- 0.41}^{+ 0.70}$ $2.06^{+0.70}_{-0.41}$
West	280	100	$2 . 02_{- 0.32}^{+ 0.51}$ $2.02^{+0.51}_{-0.32}$	$0 . 750_{- 0.036}^{+ 0.022}$ $0.750^{+0.022}_{-0.036}$	$- 1 . 36_{- 0.15}^{+ 0.11}$ $-1.36^{+0.11}_{-0.15}$	−0.70 ± 0.31	1.05 ± 0.10	0.52 ± 0.02	$- 1 . 46_{- 0.04}^{+ 0.04}$ ${-1.46^{+0.04}_{-0.04}}$	1.057 (18)	$1 . 85_{- 0.28}^{+ 0.40}$ $1.85^{+0.40}_{-0.28}$

Notes. Best-fit results of the broken power-law fit to the surface brightness profiles shown in Fig. 2. The north-south profiles are centered at the core of Hercules A, while the east-west profiles are centered at the center of the corresponding radio lobe. (1) Name of the edge; (2 – 3) azimuthal limits of the sector used to extract the profile; (4) density jump; (5) distance of the discontinuity from the center of the profile; (6) normalization; (7) index of the inner (downstream) power law; (8) index of the outer (upstream) power law; (9) radius of the lobe-related emission; (10) emission per unit volume of the lobe related emission (Eq. (2)); (11) reduced χ² (d.o.f.); (12) Mach number, computed from the density jump using Eq. (1).

^(a)

Reported distances are measured along the minor axis of the elliptical sectors with ellipticity 1.75 and position angle 10° shown in Fig. 2 (note that surface brightness profiles are plotted along the major axis).

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