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 3.

Median values and 1σ confidence level errors of the parameters for each total mass model for each galaxy cluster.

Cluster	NFW		NIS		Hernquist		Beta
Cluster
	ρ₀	r_S	ρ₀	r_S	ρ₀	r_S	ρ₀	r_S	β
RXJ2129	$1 . 71_{- 0.15}^{+ 0.14} \times 10^{6}$ $1.71^{+0.14}_{-0.15} \times 10^{6}$	$3 . 11_{- 0.17}^{+ 0.22} \times 10^{2}$ $3.11^{+0.22}_{-0.17} \times 10^{2}$	$5 . 33_{- 0.17}^{+ 0.18} \times 10^{8}$ $5.33^{+0.18}_{-0.17} \times 10^{8}$	$2 . 64_{- 0.06}^{+ 0.06} \times 10^{1}$ $2.64^{+0.06}_{-0.06} \times 10^{1}$	$1 . 26_{- 0.08}^{+ 0.08} \times 10^{7}$ $1.26^{+0.08}_{-0.08} \times 10^{7}$	$5 . 25_{- 0.22}^{+ 0.24} \times 10^{2}$ $5.25^{+0.24}_{-0.22} \times 10^{2}$	$4 . 35_{- 1.89}^{+ 2.86} \times 10^{9}$ $4.35^{+2.86}_{-1.89} \times 10^{9}$	$3 . 01_{- 0.97}^{+ 1.73} \times 10^{0}$ $3.01^{+1.73}_{-0.97} \times 10^{0}$	$4 . 83_{- 0.05}^{+ 0.07} \times 10^{- 1}$ $4.83^{+0.07}_{-0.05} \times 10^{-1}$
A2744	$6 . 35_{- 0.24}^{+ 0.24} \times 10^{5}$ $6.35^{+0.24}_{-0.24} \times 10^{5}$	$7 . 13_{- 0.19}^{+ 0.20} \times 10^{2}$ $7.13^{+0.20}_{-0.19} \times 10^{2}$	$2 . 29_{- 0.04}^{+ 0.04} \times 10^{8}$ $2.29^{+0.04}_{-0.04} \times 10^{8}$	$5 . 51_{- 0.07}^{+ 0.07} \times 10^{1}$ $5.51^{+0.07}_{-0.07} \times 10^{1}$	$4 . 63_{- 0.15}^{+ 0.17} \times 10^{6}$ $4.63^{+0.17}_{-0.15} \times 10^{6}$	$1 . 21_{- 0.03}^{+ 0.03} \times 10^{3}$ $1.21^{+0.03}_{-0.03} \times 10^{3}$	$9 . 34_{- 5.57}^{+ 14.26} \times 10^{9}$ $9.34^{+14.26}_{-5.57} \times 10^{9}$	$1 . 66_{- 0.81}^{+ 1.61} \times 10^{0}$ $1.66^{+1.61}_{-0.81} \times 10^{0}$	$4 . 66_{- 0.02}^{+ 0.02} \times 10^{- 1}$ $4.66^{+0.02}_{-0.02} \times 10^{-1}$
AS1063	$9 . 38_{- 0.05}^{+ 0.05} \times 10^{5}$ $9.38^{+0.05}_{-0.05} \times 10^{5}$	$6 . 28_{- 0.02}^{+ 0.02} \times 10^{2}$ $6.28^{+0.02}_{-0.02} \times 10^{2}$	$1 . 80_{- 0.02}^{+ 0.02} \times 10^{8}$ $1.80^{+0.02}_{-0.02} \times 10^{8}$	$7 . 38_{- 0.04}^{+ 0.04} \times 10^{1}$ $7.38^{+0.04}_{-0.04} \times 10^{1}$	$6 . 37_{- 0.02}^{+ 0.03} \times 10^{6}$ $6.37^{+0.03}_{-0.02} \times 10^{6}$	$1 . 12_{- 0.00}^{+ 0.00} \times 10^{3}$ $1.12^{+0.00}_{-0.00} \times 10^{3}$	$2 . 52_{- 0.08}^{+ 0.06} \times 10^{8}$ $2.52^{+0.06}_{-0.08} \times 10^{8}$	$5 . 15_{- 0.11}^{+ 0.16} \times 10^{1}$ $5.15^{+0.16}_{-0.11} \times 10^{1}$	$6 . 13_{- 0.02}^{+ 0.03} \times 10^{- 1}$ $6.13^{+0.03}_{-0.02} \times 10^{-1}$
M1931	$1 . 81_{- 0.15}^{+ 0.12} \times 10^{6}$ $1.81^{+0.12}_{-0.15} \times 10^{6}$	$3 . 72_{- 0.14}^{+ 0.22} \times 10^{2}$ $3.72^{+0.22}_{-0.14} \times 10^{2}$	$4 . 17_{- 0.20}^{+ 0.16} \times 10^{8}$ $4.17^{+0.16}_{-0.20} \times 10^{8}$	$3 . 90_{- 0.09}^{+ 0.12} \times 10^{1}$ $3.90^{+0.12}_{-0.09} \times 10^{1}$	$1 . 30_{- 0.08}^{+ 0.08} \times 10^{7}$ $1.30^{+0.08}_{-0.08} \times 10^{7}$	$6 . 41_{- 0.24}^{+ 0.27} \times 10^{2}$ $6.41^{+0.27}_{-0.24} \times 10^{2}$	$6 . 22_{- 0.62}^{+ 0.73} \times 10^{8}$ $6.22^{+0.73}_{-0.62} \times 10^{8}$	$2 . 36_{- 0.26}^{+ 0.28} \times 10^{1}$ $2.36^{+0.28}_{-0.26} \times 10^{1}$	$5 . 82_{- 0.13}^{+ 0.13} \times 10^{- 1}$ $5.82^{+0.13}_{-0.13} \times 10^{-1}$
M0416	$6 . 12_{- 0.10}^{+ 0.08} \times 10^{5}$ $6.12^{+0.08}_{-0.10} \times 10^{5}$	$6 . 74_{- 0.06}^{+ 0.08} \times 10^{2}$ $6.74^{+0.08}_{-0.06} \times 10^{2}$	$1 . 61_{- 0.04}^{+ 0.04} \times 10^{8}$ $1.61^{+0.04}_{-0.04} \times 10^{8}$	$6 . 52_{- 0.10}^{+ 0.10} \times 10^{1}$ $6.52^{+0.10}_{-0.10} \times 10^{1}$	$4 . 17_{- 0.09}^{+ 0.05} \times 10^{6}$ $4.17^{+0.05}_{-0.09} \times 10^{6}$	$1 . 21_{- 0.01}^{+ 0.02} \times 10^{3}$ $1.21^{+0.02}_{-0.01} \times 10^{3}$	$2 . 59_{- 1.79}^{+ 1.89} \times 10^{9}$ $2.59^{+1.89}_{-1.79} \times 10^{9}$	$5 . 39_{- 1.78}^{+ 8.02} \times 10^{0}$ $5.39^{+8.02}_{-1.78} \times 10^{0}$	$5 . 07_{- 0.04}^{+ 0.18} \times 10^{- 1}$ $5.07^{+0.18}_{-0.04} \times 10^{-1}$
M1206	$1 . 29_{- 0.02}^{+ 0.02} \times 10^{6}$ $1.29^{+0.02}_{-0.02} \times 10^{6}$	$5 . 08_{- 0.05}^{+ 0.05} \times 10^{2}$ $5.08^{+0.05}_{-0.05} \times 10^{2}$	$2 . 74_{- 0.03}^{+ 0.04} \times 10^{8}$ $2.74^{+0.04}_{-0.03} \times 10^{8}$	$5 . 58_{- 0.05}^{+ 0.04} \times 10^{1}$ $5.58^{+0.04}_{-0.05} \times 10^{1}$	$8 . 65_{- 0.13}^{+ 0.12} \times 10^{6}$ $8.65^{+0.12}_{-0.13} \times 10^{6}$	$9 . 15_{- 0.09}^{+ 0.08} \times 10^{2}$ $9.15^{+0.08}_{-0.09} \times 10^{2}$	$5 . 29_{- 0.15}^{+ 0.15} \times 10^{8}$ $5.29^{+0.15}_{-0.15} \times 10^{8}$	$2 . 89_{- 0.07}^{+ 0.07} \times 10^{1}$ $2.89^{+0.07}_{-0.07} \times 10^{1}$	$5 . 85_{- 0.02}^{+ 0.02} \times 10^{- 1}$ $5.85^{+0.02}_{-0.02} \times 10^{-1}$
M0329	$1 . 34_{- 0.07}^{+ 0.05} \times 10^{6}$ $1.34^{+0.05}_{-0.07} \times 10^{6}$	$4 . 67_{- 0.12}^{+ 0.17} \times 10^{2}$ $4.67^{+0.17}_{-0.12} \times 10^{2}$	$5 . 23_{- 0.17}^{+ 0.19} \times 10^{8}$ $5.23^{+0.19}_{-0.17} \times 10^{8}$	$3 . 54_{- 0.08}^{+ 0.07} \times 10^{1}$ $3.54^{+0.07}_{-0.08} \times 10^{1}$	$9 . 68_{- 0.58}^{+ 0.39} \times 10^{6}$ $9.68^{+0.39}_{-0.58} \times 10^{6}$	$8 . 00_{- 0.20}^{+ 0.33} \times 10^{2}$ $8.00^{+0.33}_{-0.20} \times 10^{2}$	$1 . 81_{- 0.11}^{+ 0.10} \times 10^{9}$ $1.81^{+0.10}_{-0.11} \times 10^{9}$	$1 . 04_{- 0.05}^{+ 0.06} \times 10^{1}$ $1.04^{+0.06}_{-0.05} \times 10^{1}$	$5 . 43_{- 0.03}^{+ 0.03} \times 10^{- 1}$ $5.43^{+0.03}_{-0.03} \times 10^{-1}$
M2129	$9 . 60_{- 0.40}^{+ 0.38} \times 10^{5}$ $9.60^{+0.38}_{-0.40} \times 10^{5}$	$5 . 71_{- 0.15}^{+ 0.16} \times 10^{2}$ $5.71^{+0.16}_{-0.15} \times 10^{2}$	$2 . 43_{- 0.05}^{+ 0.05} \times 10^{8}$ $2.43^{+0.05}_{-0.05} \times 10^{8}$	$5 . 66_{- 0.07}^{+ 0.07} \times 10^{1}$ $5.66^{+0.07}_{-0.07} \times 10^{1}$	$6 . 92_{- 0.24}^{+ 0.25} \times 10^{6}$ $6.92^{+0.25}_{-0.24} \times 10^{6}$	$9 . 82_{- 0.22}^{+ 0.23} \times 10^{2}$ $9.82^{+0.23}_{-0.22} \times 10^{2}$	$3 . 66_{- 0.26}^{+ 0.96} \times 10^{8}$ $3.66^{+0.96}_{-0.26} \times 10^{8}$	$3 . 33_{- 0.76}^{+ 0.28} \times 10^{1}$ $3.33^{+0.28}_{-0.76} \times 10^{1}$	$5 . 77_{- 0.26}^{+ 0.10} \times 10^{- 1}$ $5.77^{+0.10}_{-0.26} \times 10^{-1}$
ACT0102	$2 . 49_{- 0.17}^{+ 0.19} \times 10^{5}$ $2.49^{+0.19}_{-0.17} \times 10^{5}$	$1 . 38_{- 0.06}^{+ 0.07} \times 10^{3}$ $1.38^{+0.07}_{-0.06} \times 10^{3}$	$6 . 53_{- 0.33}^{+ 0.35} \times 10^{7}$ $6.53^{+0.35}_{-0.33} \times 10^{7}$	$1 . 33_{- 0.04}^{+ 0.05} \times 10^{2}$ $1.33^{+0.05}_{-0.04} \times 10^{2}$	$1 . 74_{- 0.12}^{+ 0.14} \times 10^{6}$ $1.74^{+0.14}_{-0.12} \times 10^{6}$	$2 . 42_{- 0.12}^{+ 0.11} \times 10^{3}$ $2.42^{+0.11}_{-0.12} \times 10^{3}$	$3 . 20_{- 0.60}^{+ 0.78} \times 10^{8}$ $3.20^{+0.78}_{-0.60} \times 10^{8}$	$2 . 70_{- 0.45}^{+ 0.50} \times 10^{1}$ $2.70^{+0.50}_{-0.45} \times 10^{1}$	$5 . 18_{- 0.06}^{+ 0.06} \times 10^{- 1}$ $5.18^{+0.06}_{-0.06} \times 10^{-1}$

Notes. The total mass density scales are expressed in M_⊙/kpc³, and the length scales are listed in kpc.

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