Spherical bias in the 3D reconstruction of the ICM density profile in galaxy clusters

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Volume 694 (February 2025)

A&A, 694 (2025) A107

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Table 2.

Results of the analysis for the biases on the global density profile and on the intrinsic scatter of a cluster population.

	Bias in global density			Bias in density scatter [%]
	b_n ± σ_n^los [%]			b_s ± σ_s^los [%]
R [R₅₀₀]	Complete sample	Regular sample	Irregular sample	Complete sample	Regular sample	Irregular sample
0.2	1.37 ± 0.01	−0.66 ± 0.02	2.74 ± 0.03	−3.9 ± 0.1	−1.3 ± 0.3	12.4 ± 0.4
0.5	6.61 ± 0.03	1.82 ± 0.04	2.9 ± 0.1	67.1 ± 0.2	9.3 ± 0.6	139.6 ± 0.8
0.8	9.43 ± 0.03	1.24 ± 0.03	12.5 ± 0.2	111.1± 0.4	46.9 ± 0.3	374.1 ± 1.6
1.0	12.8 ± 0.08	−1.14 ± 0.04	23.9 ± 0.3	110.1 ± 0.5	25.8 ± 0.3	287.7 ± 1.6
1.5	30.3 ± 0.2	5.63 ± 0.08	67.0 ± 0.7	104.9 ± 0.4	55.2 ± 0.6	159.9 ± 1.1
2.0	56.9 ± 0.2	26.7 ± 0.1	105.3 ± 0.9	95.4 ± 0.4	45.2 ± 0.7	174.1 ± 1.4

Notes. The results are given for the entire sample (98 clusters) and for two subsamples (15 clusters each one) composed of regular or irregular clusters. The errors on mean values are attributed to the differences given by different sample realizations along different lines of sight for the quantities q, $σ_{q}^{los} = ({b_{q}^{los}}_{MAX} + {b_{q}^{los}}_{MIN}) / 2$ $\sigma_q^{\mathrm{los}} = ({b_{q}^{\mathrm{los}}}_{\mathrm{MAX}} + {b_{q}^{\mathrm{los}}}_{\mathrm{MIN}})/2$ .

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