An absence of binary companions to Wolf-Rayet stars in the Small Magellanic Cloud - Implications for mass loss and black hole masses at low metallicities

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Volume 689 (September 2024)

A&A, 689 (2024) A157

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Table B.1.

Probabilities that binaries caused a larger ΔRV than observed.

	$\hat{p}$ $\hat{p}$	${\hat{p}}_{M 5 +}$ $\hat{p}_{\mathrm{M5+}}$	${\hat{p}}_{P 1 yr -}$ $\hat{p}_{\mathrm{P1yr-}}$	${\hat{p}}_{M 5 + P 1 yr -}$ $\hat{p}_{\mathrm{M5+P1yr-}}$	${\hat{p}}_{P 30 d +}$ $\hat{p}_{\mathrm{P30d+}}$	${\hat{p}}_{L 20}$ $\hat{p}_{\mathrm{L20}}$	${\hat{p}}_{L 20, P 30 d +}$ $\hat{p}_{\mathrm{L20,P30d+}}$	${\hat{p}}_{R 19}$ $\hat{p}_{\mathrm{R19}}$	${\hat{p}}_{R 19, P 30 d +}$ $\hat{p}_{\mathrm{R19,P30d+}}$

M₂ restr.		M₂ > 5		M₂ > 5
1P_orb restr.			P_orb < 1 yr	P_orb < 1 yr	P_orb > 30 d		P_orb > 30 d		P_orb > 30 d
SMC AB1	0.866	0.916	0.952	0.989	0.785	0.969	0.963	0.970	0.949
SMC AB2	0.927	0.963	0.978	0.996	0.880	0.990	0.988	0.988	0.980
SMC AB4	0.908	0.950	0.968	0.994	0.850	0.985	0.982	0.983	0.972
SMC AB9	0.887	0.916	0.967	0.993	0.798	0.985	0.982	0.965	0.942
SMC AB10	0.956	0.974	0.995	0.999	0.924	0.998	0.997	0.992	0.986
SMC AB11	0.892	0.929	0.971	0.994	0.822	0.983	0.980	0.973	0.955
SMC AB12	0.852	0.896	0.956	0.988	0.760	0.972	0.966	0.954	0.924
Average	0.901	0.935	0.970	0.993	0.831	0.983	0.980	0.975	0.958

Notes. We integrated over different parts of the binary parameter space; if no extra restriction is mentioned, we consider the range 1 ≤ M₂/M_⊙ ≤ 40 and 0 ≤ log(P_orb/d)≤3.5. To calculate ${\hat{p}}_{L 20}$ $\hat{p}_{\mathrm{L20}}$ and ${\hat{p}}_{R 19}$ $\hat{p}_{\mathrm{R19}}$ , we used orbital period and and mass ratio distributions based on Langer et al. (2020) and Renzo et al. (2019), respectively (see the main text for details).

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