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Table A.2

Variations in the initial half-mass radii of star clusters.

Model Prescription
Fiducial rc,h = 1.0 pc
Compact rc,h = 0.1 pc
Density rc,h = 1 pc × (mc/104 M)0.3
Empirical(a) rc,h = 2.37 pc × (mc/104 M)0.18
Theoretical(b) ***(93)***rc,hmc/ΣgMathematical equation: ${r_{{\rm{c}},h}} \propto \sqrt {{m_c}/{\Sigma _{\rm{g}}}} $

(a) Fitting results provided by Reina-Campos et al. (2023a) for the data of Brown & Gnedin (2021) when limiting the star cluster population to ages 1 Myr ≤ τc ≤ 10 Myr.

(b) Adopted from Choksi & Kruijssen (2021). To avoid extremely compact or extended clusters we introduce a lower and upper boundary to a star cluster’s half-mass radius of 0.1 and 100 pc, respectively.

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