XRISM constraints on the velocity power spectrum in the Coma cluster

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Volume 704 (December 2025)

A&A, 704 (2025) A35

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Table 1.

Best fitting power spectrum parameters for the Coma cluster for various models.

Model	ℓ_inj [Mpc]	α	ℳ_3D, tot	ℳ_3D(> k₅₀₀)	ℳ_3D(> k₂₀₀)
Fiducial	$2 . 2_{- 1.0}^{+ 2.0}$ $2.2_{-1.0}^{+2.0}$	$5 . 3_{- 1.0}^{+ 2.1}$ $5.3_{-1.0}^{+2.1}$	$0 . 72_{- 0.22}^{+ 0.28}$ $0.72_{-0.22}^{+0.28}$	$0 . 45_{- 0.13}^{+ 0.18}$ $0.45_{-0.13}^{+0.18}$	$0 . 57_{- 0.14}^{+ 0.17}$ $0.57_{-0.14}^{+0.17}$
Fixed α	$6 . 6_{- 2.2}^{+ 2.5}$ $6.6_{-2.2}^{+2.5}$	11/3	$0 . 73_{- 0.20}^{+ 0.25}$ $0.73_{-0.20}^{+0.25}$	$0 . 60_{- 0.16}^{+ 0.18}$ $0.60_{-0.16}^{+0.18}$	$0 . 66_{- 0.18}^{+ 0.20}$ $0.66_{-0.18}^{+0.20}$
Fixed ℓ_inj	1	$7 . 45_{- 1.25}^{+ 0.46}$ $7.45_{-1.25}^{+0.46}$	$0 . 55_{- 0.14}^{+ 0.22}$ $0.55_{-0.14}^{+0.22}$	$0 . 37_{- 0.09}^{+ 0.11}$ $0.37_{-0.09}^{+0.11}$	$0 . 45_{- 0.10}^{+ 0.14}$ $0.45_{-0.10}^{+0.14}$
Fixed α, ℓ_inj	1	11/3	$0 . 45_{- 0.06}^{+ 0.06}$ $0.45_{-0.06}^{+0.06}$	$0 . 44_{- 0.05}^{+ 0.05}$ $0.44_{-0.05}^{+0.05}$	$0 . 45_{- 0.06}^{+ 0.06}$ $0.45_{-0.06}^{+0.06}$

Notes. The total Mach numbers are estimated as the integral of the power spectrum (Eq. 4) whereas the values estimated within various ranges of scales are computed over all wavenumbers greater than a limiting wavenumber k₅₀₀ = 1/R₅₀₀ and k₂₀₀ = 1/R₂₀₀.

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