Virial quantities of galaxy clusters from extrapolating strong-lensing mass profiles

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Volume 698 (June 2025)

A&A, 698 (2025) A272

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Table 5.

Results of the moving center tests.

A2744	Mass model	ρ₀	r_S	M(< 500 kpc)	χ²
BCG-N	Hernquist	$4 . 63_{- 0.15}^{+ 0.17} \times 10^{6}$ $4.63^{+0.17}_{-0.15} \times 10^{6}$	$1 . 21_{- 0.03}^{+ 0.03} \times 10^{3}$ $1.21^{+0.03}_{-0.03} \times 10^{3}$	$3 . 5_{- 0.2}^{+ 0.2} \times 10^{14}$ $3.5^{+0.2}_{-0.2} \times 10^{14}$	78.2
BCG-S	Hernquist	$6 . 89_{- 0.22}^{+ 0.21} \times 10^{6}$ $6.89^{+0.21}_{-0.22} \times 10^{6}$	$9 . 09_{- 0.18}^{+ 0.20} \times 10^{2}$ $9.09^{+0.20}_{-0.18} \times 10^{2}$	$3 . 3_{- 0.2}^{+ 0.2} \times 10^{14}$ $3.3^{+0.2}_{-0.2} \times 10^{14}$	48.9

M0416	Mass model	ρ₀	r_S	M(< 500 kpc)	χ²

BCG-N	Hernquist	$4 . 17_{- 0.09}^{+ 0.05} \times 10^{6}$ $4.17^{+0.05}_{-0.09} \times 10^{6}$	$1 . 21_{- 0.01}^{+ 0.02} \times 10^{3}$ $1.21^{+0.02}_{-0.01} \times 10^{3}$	$3 . 2_{- 0.1}^{+ 0.1} \times 10^{14}$ $3.2^{+0.1}_{-0.1} \times 10^{14}$	41.9
BCG-S	Hernquist	$4 . 36_{- 0.09}^{+ 0.09} \times 10^{6}$ $4.36^{+0.09}_{-0.09} \times 10^{6}$	$1 . 18_{- 0.02}^{+ 0.02} \times 10^{3}$ $1.18^{+0.02}_{-0.02} \times 10^{3}$	$3 . 2_{- 0.1}^{+ 0.1} \times 10^{14}$ $3.2^{+0.1}_{-0.1} \times 10^{14}$	57.3
Midpoint	NIS	$5 . 71_{- 0.05}^{+ 0.06} \times 10^{7}$ $5.71^{+0.06}_{-0.05} \times 10^{7}$	$1 . 32_{- 0.01}^{+ 0.01} \times 10^{2}$ $1.32^{+0.01}_{-0.01} \times 10^{2}$	$3 . 3_{- 0.7}^{+ 0.7} \times 10^{14}$ $3.3^{+0.7}_{-0.7} \times 10^{14}$	204.5

ACT0102	Mass model	ρ₀	r_S	M(< 500 kpc)	χ²

North clump	NIS	$4 . 42_{- 0.12}^{+ 0.12} \times 10^{7}$ $4.42^{+0.12}_{-0.12} \times 10^{7}$	$1 . 70_{- 0.03}^{+ 0.04} \times 10^{2}$ $1.70^{+0.04}_{-0.03} \times 10^{2}$	$4_{- 1}^{+ 1} \times 10^{14}$ $4^{+1}_{-1} \times 10^{14}$	19.6
BCG-S	Hernquist	$1 . 74_{- 0.12}^{+ 0.14} \times 10^{6}$ $1.74^{+0.14}_{-0.12} \times 10^{6}$	$2 . 42_{- 0.12}^{+ 0.11} \times 10^{3}$ $2.42^{+0.11}_{-0.12} \times 10^{3}$	$3 . 6_{- 0.4}^{+ 0.4} \times 10^{14}$ $3.6^{+0.4}_{-0.4} \times 10^{14}$	6.1
Midpoint	NIS	$1 . 19_{- 0.04}^{+ 0.05} \times 10^{7}$ $1.19^{+0.05}_{-0.04} \times 10^{7}$	$4 . 15_{- 0.17}^{+ 0.12} \times 10^{2}$ $4.15^{+0.12}_{-0.17} \times 10^{2}$	$2 . 8_{- 0.2}^{+ 0.2} \times 10^{14}$ $2.8^{+0.2}_{-0.2} \times 10^{14}$	292.6

Notes. We tested the alternative positions of the projected total mass profile centers, as listed in Section 6.3, for the Hernquist model. The central mass densities are expressed in M_⊙/kpc³ and the length scales are listed in kpc. The total mass values are expressed in M_⊙.

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