Half-mass radius normalized to tidal radius as a function of mass predicted by the model (green line) for different model parameters. The dashed black like is the linear fit through Eq. (2) with its error band (gray shaded area). Panel a: model with ${\text{Φ}}_0=0.1{\text{\hspace{0.17em}M}}_{\odot }^{-1}$, α = 0.0, and m_max = 100 M_⊙ and linear fit with $\beta =1.43\times {10}^{-3}{\text{\hspace{0.17em}M}}_{\odot }^{-1}$. Panel b: model with ${\text{Φ}}_0=0.01{\text{\hspace{0.17em}M}}_{\odot }^{-1}$, α = 0.0, and m_max = 100 M_⊙ and linear fit with $\beta =1.23\times {10}^{-4}{\text{\hspace{0.17em}M}}_{\odot }^{-1}$. Panel c: model with ${\text{Φ}}_0=0.1{\text{\hspace{0.17em}M}}_{\odot }^{-1}$, α = −2.0, and m_max = 100 M_⊙ and linear fit with $\beta =1.72\times {10}^{-3}{\text{\hspace{0.17em}M}}_{\odot }^{-1}$. Panel d: model with ${\text{Φ}}_0=0.1{\text{\hspace{0.17em}M}}_{\odot }^{-1}$ , α = 0.0, and m_max = 1.0 M_⊙ and linear fit with $\beta =1.16\times {10}^{-3}{\text{\hspace{0.17em}M}}_{\odot }^{-1}$.