A “MeerKAT-meets-LOFAR” study of the complex multi-component (mini-)halo in the extreme sloshing cluster Abell 2142

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Volume 686 (June 2024)

A&A, 686 (2024) A44

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Table 5.

Summary of our point-to-point correlation fit results for the sub-regions of the halo, namely H1, H2, and H3, performed using Linmix.

Region	Relation	Slope	Intrinsic scatter	Spearman coeff.	Pearson coeff.
		b	σ_int	r_S	r_P
	I_{R, 1283 MHz}/I_X	$0 . 77_{- 0.06}^{+ 0.06}$ $0.77^{+0.06}_{-0.06}$	$0 . 001_{- 0.001}^{+ 0.001}$ $0.001^{+0.001}_{-0.001}$	0.93	0.90
H1	I_{R, 143 MHz}/I_X	$0 . 63_{- 0.06}^{+ 0.06}$ $0.63^{+0.06}_{-0.06}$	$0 . 002_{- 0.001}^{+ 0.001}$ $0.002^{+0.001}_{-0.001}$	0.89	0.87
	α/T_{X, Chandra}	$- 0 . 049_{- 0.017}^{+ 0.015}$ $-0.049^{+0.015}_{-0.017}$	−	−0.39	−0.42
	α/T_X, XMM	$- 0 . 109_{- 0.240}^{+ 0.203}$ $-0.109^{+0.203}_{-0.240}$	−	−0.37	−0.32

	I_{R, 1283 MHz}/I_X	$0 . 50_{- 0.07}^{+ 0.07}$ $0.50^{+0.07}_{-0.07}$	$0 . 014_{- 0.003}^{+ 0.003}$ $0.014^{+0.003}_{-0.003}$	0.72	0.66
H2	I_{R, 143 MHz}/I_X	$0 . 39_{- 0.06}^{+ 0.06}$ $0.39^{+0.06}_{-0.06}$	$0 . 011_{- 0.002}^{+ 0.003}$ $0.011^{+0.003}_{-0.002}$	0.61	0.61
	α/T_{X, Chandra}	$- 0 . 004_{- 0.019}^{+ 0.018}$ $-0.004^{+0.018}_{-0.019}$	−	−0.02	0.00
	α/T_X, XMM	$+ 0 . 039_{- 0.108}^{+ 0.101}$ $+0.039^{+0.101}_{-0.108}$	−	−0.39	−0.42

	I_{R, 1283 MHz}/I_X	$0 . 72_{- 0.04}^{+ 0.05}$ $0.72^{+0.05}_{-0.04}$	$0 . 026_{- 0.004}^{+ 0.004}$ $0.026^{+0.004}_{-0.004}$	0.58	0.64
H3	I_{R, 143 MHz}/I_X	$0 . 54_{- 0.03}^{+ 0.03}$ $0.54^{+0.03}_{-0.03}$	$0 . 013_{- 0.002}^{+ 0.002}$ $0.013^{+0.002}_{-0.002}$	0.71	0.73

Notes. Relations were fitted between as indicated in the first column, with the radio data being at 25 arcsec resolution. Here, b is the best-fit correlation slope, and r_S and r_P are the Spearman and Pearson correlation coefficients, respectively.

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