Unveiling the shape: A multi-wavelength analysis of the galaxy clusters Abell 76 and Abell 1307

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Volume 691 (November 2024)

A&A, 691 (2024) A135

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Table 5

Results of different mass and number density models ansatz for the cluster A76 and A1307.

Abell 76
Model	r₂₀₀ (Mpc)	r_v (Mpc)	r_s (Mpc)	𝒜_∞	𝒜₀	− log P

NFW+pHer	${1.48}_{- 0.29}^{+ 0.35}$ ${1.48_{ - 0.29}^{ + 0.35}}$	${0.99}_{- 0.11}^{+ 0.19}$ ${0.99_{ - 0.11}^{ + 0.19}}$	${0.95}_{- 0.95}^{+ 2.01}$ ${0.95_{ - 0.95}^{ + 2.01}}$	${1.48}_{- 1.02}^{+ 1.88}$ ${1.48_{ - 1.02}^{ + 1.88}}$	${1.92}_{- 1.47}^{+ 2.44}$ ${1.92_{ - 1.47}^{ + 2.44}}$	892.80
Bur+pHer	${1.43}_{- 0.69}^{+ 0.51}$ ${1.43_{ - 0.69}^{ + 0.51}}$	${1.00}_{- 0.12}^{+ 0.21}$ ${1.00_{ - 0.12}^{ + 0.21}}$	${0.73}_{- 0.73}^{+ 1.87}$ ${0.73_{ - 0.73}^{ + 1.87}}$	${1.67}_{- 1.19}^{+ 1.87}$ ${1.67_{ - 1.19}^{ + 1.87}}$	${2.01}_{- 1.56}^{+ 2.37}$ ${2.01_{ - 1.56}^{ + 2.37}}$	892.81
Her+pHer	${1.47}_{- 0.28}^{+ 0.33}$ ${1.47_{ - 0.28}^{ + 0.33}}$	${1.00}_{- 0.11}^{+ 0.19}$ ${1.00_{ - 0.11}^{ + 0.19}}$	${1.37}_{- 1.33}^{+ 1.95}$ ${1.37_{ - 1.33}^{ + 1.95}}$	${1.48}_{- 1.02}^{+ 1.93}$ ${1.48_{ - 1.02}^{ + 1.93}}$	${1.90}_{- 1.44}^{+ 2.45}$ ${1.90_{ - 1.44}^{ + 2.45}}$	892.85
Ein5+pHer	${1.48}_{- 0.29}^{+ 0.34}$ ${1.48_{ - 0.29}^{ + 0.34}}$	${1.00}_{- 0.11}^{+ 0.19}$ ${1.00_{ - 0.11}^{ + 0.19}}$	${1.04}_{- 1.04}^{+ 2.03}$ ${1.04_{ - 1.04}^{ + 2.03}}$	${1.50}_{- 1.04}^{+ 1.87}$ ${1.50_{ - 1.04}^{ + 1.87}}$	${1.90}_{- 1.45}^{+ 2.42}$ ${1.90_{ - 1.45}^{ + 2.42}}$	892.89
NFW+pNFW	${1.40}_{- 0.32}^{+ 0.42}$ ${1.40_{ - 0.32}^{ + 0.42}}$	${0.45}_{- 0.07}^{+ 0.12}$ ${0.45_{ - 0.07}^{ + 0.12}}$	${0.89}_{- 0.89}^{+ 1.97}$ ${0.89_{ - 0.89}^{ + 1.97}}$	${1.60}_{- 1.13}^{+ 1.94}$ ${1.60_{ - 1.13}^{ + 1.94}}$	${1.97}_{- 1.51}^{+ 2.38}$ ${1.97_{ - 1.51}^{ + 2.38}}$	894.65
Bur+pNFW	${1.37}_{- 0.60}^{+ 0.42}$ ${1.37_{ - 0.60}^{ + 0.42}}$	${0.45}_{- 0.07}^{+ 0.12}$ ${0.45_{ - 0.07}^{ + 0.12}}$	${0.53}_{- 0.51}^{+ 1.20}$ ${0.53_{ - 0.51}^{ + 1.20}}$	${1.68}_{- 1.20}^{+ 1.88}$ ${1.68_{ - 1.20}^{ + 1.88}}$	${1.98}_{- 1.53}^{+ 2.37}$ ${1.98_{ - 1.53}^{ + 2.37}}$	894.62
Her+pNFW	${1.41}_{- 0.29}^{+ 0.34}$ ${1.41_{ - 0.29}^{ + 0.34}}$	${0.45}_{- 0.07}^{+ 0.12}$ ${0.45_{ - 0.07}^{ + 0.12}}$	${1.32}_{- 1.27}^{+ 1.93}$ ${1.32_{ - 1.27}^{ + 1.93}}$	${1.61}_{- 1.14}^{+ 1.88}$ ${1.61_{ - 1.14}^{ + 1.88}}$	${1.87}_{- 1.42}^{+ 2.49}$ ${1.87_{ - 1.42}^{ + 2.49}}$	894.69
Ein5+pNFW	${1.40}_{- 0.33}^{+ 0.38}$ ${1.40_{ - 0.33}^{ + 0.38}}$	${0.45}_{- 0.07}^{+ 0.12}$ ${0.45_{ - 0.07}^{ + 0.12}}$	${0.96}_{- 0.96}^{+ 1.97}$ ${0.96_{ - 0.96}^{ + 1.97}}$	${1.62}_{- 1.16}^{+ 1.90}$ ${1.62_{ - 1.16}^{ + 1.90}}$	${1.89}_{- 1.44}^{+ 2.42}$ ${1.89_{ - 1.44}^{ + 2.42}}$	894.70

Abell 1307

Model	r₂₀₀ (Mpc)	r_v (Mpc)	r_s (Mpc)	𝒜_∞	𝒜₀	− log P

NFW+pHer	${1.91}_{- 0.43}^{+ 0.50}$ ${1.91_{ - 0.43}^{ + 0.50}}$	${1.00}_{- 0.21}^{+ 0.36}$ ${1.00_{ - 0.21}^{ + 0.36}}$	${1.00}_{- 0.98}^{+ 1.54}$ ${1.00_{ - 0.98}^{ + 1.54}}$	${1.47}_{- 1.01}^{+ 2.54}$ ${1.47_{ - 1.01}^{ + 2.54}}$	${1.79}_{- 1.36}^{+ 3.01}$ ${1.79_{ - 1.36}^{ + 3.01}}$	908.78
Bur+pHer	${2.06}_{- 0.69}^{+ 1.14}$ ${2.06_{ - 0.69}^{ + 1.14}}$	${1.00}_{- 0.21}^{+ 0.35}$ ${1.00_{ - 0.21}^{ + 0.35}}$	${1.05}_{- 1.03}^{+ 1.55}$ ${1.05_{ - 1.03}^{ + 1.55}}$	${1.68}_{- 1.23}^{+ 2.48}$ ${1.68_{ - 1.23}^{ + 2.48}}$	${2.35}_{- 1.87}^{+ 2.94}$ ${2.35_{ - 1.87}^{ + 2.94}}$	908.80
Her+pHer	${1.87}_{- 0.41}^{+ 0.45}$ ${1.87_{ - 0.41}^{ + 0.45}}$	${1.00}_{- 0.21}^{+ 0.37}$ ${1.00_{ - 0.21}^{ + 0.37}}$	${1.34}_{- 1.16}^{+ 1.40}$ ${1.34_{ - 1.16}^{ + 1.40}}$	${1.35}_{- 0.89}^{+ 2.51}$ ${1.35_{ - 0.89}^{ + 2.51}}$	${1.85}_{- 1.42}^{+ 3.21}$ ${1.85_{ - 1.42}^{ + 3.21}}$	908.81
Ein5+pHer	${1.90}_{- 0.42}^{+ 0.48}$ ${1.90_{ - 0.42}^{ + 0.48}}$	${1.03}_{- 0.15}^{+ 0.22}$ ${1.03_{ - 0.15}^{ + 0.22}}$	${1.05}_{- 1.02}^{+ 1.52}$ ${1.05_{ - 1.02}^{ + 1.52}}$	${1.47}_{- 1.01}^{+ 2.65}$ ${1.47_{ - 1.01}^{ + 2.65}}$	${1.74}_{- 1.30}^{+ 3.15}$ ${1.74_{ - 1.30}^{ + 3.15}}$	909.00
NFW+pNFW	${1.83}_{- 0.44}^{+ 0.53}$ ${1.83_{ - 0.44}^{ + 0.53}}$	${0.44}_{- 0.12}^{+ 0.21}$ ${0.44_{ - 0.12}^{ + 0.21}}$	${1.04}_{- 1.01}^{+ 1.53}$ ${1.04_{ - 1.01}^{ + 1.53}}$	${1.54}_{- 1.08}^{+ 2.50}$ ${1.54_{ - 1.08}^{ + 2.50}}$	${1.98}_{- 1.55}^{+ 3.05}$ ${1.98_{ - 1.55}^{ + 3.05}}$	909.19
Bur+pNFW	${1.72}_{- 1.30}^{+ 1.02}$ ${1.72_{ - 1.30}^{ + 1.02}}$	${0.44}_{- 0.13}^{+ 0.23}$ ${0.44_{ - 0.13}^{ + 0.23}}$	${1.11}_{- 1.07}^{+ 1.55}$ ${1.11_{ - 1.07}^{ + 1.55}}$	${1.79}_{- 1.34}^{+ 2.42}$ ${1.79_{ - 1.34}^{ + 2.42}}$	${2.56}_{- 2.04}^{+ 2.86}$ ${2.56_{ - 2.04}^{ + 2.86}}$	909.05
Her+pNFW	${1.81}_{- 0.39}^{+ 0.45}$ ${1.81_{ - 0.39}^{ + 0.45}}$	${0.43}_{- 0.12}^{+ 0.21}$ ${0.43_{ - 0.12}^{ + 0.21}}$	${1.37}_{- 1.14}^{+ 1.39}$ ${1.37_{ - 1.14}^{ + 1.39}}$	${1.54}_{- 1.08}^{+ 2.56}$ ${1.54_{ - 1.08}^{ + 2.56}}$	${1.85}_{- 1.42}^{+ 3.04}$ ${1.85_{ - 1.42}^{ + 3.04}}$	909.19
Ein5+pNFW	${1.83}_{- 0.43}^{+ 0.50}$ ${1.83_{ - 0.43}^{ + 0.50}}$	${0.43}_{- 0.11}^{+ 0.18}$ ${0.43_{ - 0.11}^{ + 0.18}}$	${1.06}_{- 1.01}^{+ 1.51}$ ${1.06_{ - 1.01}^{ + 1.51}}$	${1.57}_{- 1.12}^{+ 2.63}$ ${1.57_{ - 1.12}^{ + 2.63}}$	${1.89}_{- 1.45}^{+ 3.08}$ ${1.89_{ - 1.45}^{ + 3.08}}$	909.18

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