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Table B.1.

Simulated SIDM models and parameters.

numerical dσ/dΩ θc r σV/mχ σ T / m χ $ \sigma_{\mathrm{\widetilde{T}}}/m_{\chi} $ σtot/mχ σ T , < / σ T $ \sigma_{\mathrm{\widetilde{T}}, < }/\sigma_{\mathrm{\widetilde{T}}} $ σtot, > /σtot
scheme (cm2 g−1) (cm2 g−1) (cm2 g−1)
CDM - - - - - - - -
fSIDM forward limit - - 1 2/3 - -
rSIDM isotropic - - 1 1 1 - -
hSIDM Møller 0.1 0.1 1 1.0 1.0 2.5 × 10−5 0.99
hSIDM Møller 0.3 0.1 1 1.0 1.0 2.0 × 10−3 0.96
hSIDM Møller 0.1 1 1 0.98 1.1 3.8 × 10−5 0.99
hSIDM Møller 0.3 1 1 0.98 1.1 3.0 × 10−3 0.94
hSIDM Møller 0.1 10 1 0.87 2.0 3.5 × 10−4 0.97
hSIDM Møller 0.3 10 1 0.87 2.0 2.2 × 10−2 0.77
hSIDM Møller 0.1 102 1 0.77 7.0 8.8 × 10−3 0.79
hSIDM Møller 0.3 102 1 0.77 7.0 0.18 0.28
hSIDM Møller 0.1 103 1 0.73 37 0.11 0.28
hSIDM Møller 0.3 103 1 0.73 37 0.45 3.8 × 10−2
hSIDM Møller 0.1 104 0.2 0.14 50 0.32 3.8 × 10−2
hSIDM Møller 0.3 104 0.2 0.14 50 0.62 4.0 × 10−3
hSIDM Møller 0.1 104 1 0.71 2.5 × 102 0.32 3.8 × 10−2
hSIDM Møller 0.3 104 1 0.71 2.5 × 102 0.62 4.0 × 10−3
hSIDM Møller 0.1 104 1.4 1 3.5 × 102 0.32 3.8 × 10−2
hSIDM Møller 0.3 104 1.4 1 3.5 × 102 0.62 4.0 × 10−3
hSIDM Møller 0.1 104 3 2.1 7.4 × 102 0.32 3.8 × 10−2
hSIDM Møller 0.3 104 3 2.1 7.4 × 102 0.62 4.0 × 10−3
hSIDM Møller 0.1 105 1 0.70 1.8 × 103 0.48 3.9 × 10−3
hSIDM Møller 0.3 105 1 0.70 1.8 × 103 0.71 4.0 × 10−4

Notes. Summary of SIDM models and parameters used in the galaxy cluster mergers simulations. The first column gives the numerical scheme employed to model the self-interactions, followed by the second column specifying the differential cross section. For the Møller differential cross section, we use Eq. (1). The subsequent columns give the critical angle θc, the anisotropy parameter r, the viscosity cross section, the modified transfer cross section and the total cross section. The second last column specifies the fraction of the momentum transfer that is treated with the small-angle approximation and the last column gives the fraction of scattering events that are simulated by explicitly sampling the scattering angle. See Sect. 2.2 for the definitions of the various angle-averaged cross sections and Sect. 3.1 for discussion related to the last two columns. The critical angle θc used in the hSIDM scheme to separate large and small-angle regimes is a technical parameter, and we check independence of our results by comparing runs with two values. The model parameter r, related to the ratio of mediator and dark matter mass, determines the amount of anisotropy of the differential cross section dσ/dΩ.

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