Feedback in Forming Star Clusters: The Mass–Radius Relation and Mass Function of Molecular Clumps in the Large Magellanic Cloud

We derive the mass-radius relation and mass function of molecular clumps in Large Magellanic Cloud (LMC) interpret them terms simple feedback model proposed by Fall, Krumholz, Matzner (FKM). Our work utilizes dendrogram-based catalog compiled Wong et al. from $^{12}$CO $^{13}$CO maps six giant clouds LMC observed with Atacama Millimeter Array (ALMA). The Clouds are only external galaxies for which this type analysis is possible at necessary spatial resolution ($\sim1$ pc). find that have power-law forms, $R \propto M^{\alpha}$ $dN/dM M^{\beta}$, indices $\alpha = 0.36 \pm 0.03$ $\beta= -1.8 0.1 $ over ranges $10^2 M_\odot \lesssim M 10^5 M_\odot$ 10^4 M_\odot$, respectively. With these values $\alpha$ $\beta$ (i.e., protoclusters), predicted index young clusters FKM $\beta \approx 1.7$, good agreement index. situation portrayed here replicates Milky Way.