What sets the massive star formation rates and efficiencies of giant molecular clouds?

Abstract: Galactic star formation scaling relations show increased scatter from kpc to sub-kpc scales. Investigating this scatter may hold important clues to how the star formation process evolves in time and space. Here, we combine different molecular gas tracers, different star formation indicators probing distinct populations of massive stars, and knowledge on the evolutionary state of each star forming region to derive star formation properties of $\sim$150 star forming complexes over the face of the Large Magellanic Cloud. We find that the rate of massive star formation ramps up when stellar clusters emerge and boost the formation of subsequent generations of massive stars. In addition, we reveal that the star formation efficiency of individual GMCs declines with increasing cloud gas mass ($M_\mathrm{cloud}$). This trend persists in Galactic star forming regions, and implies higher molecular gas depletion times for larger GMCs. We compare the star formation efficiency per freefall time ($\epsilon_\mathrm{ff}$) with predictions from various widely-used analytical star formation models. We show that while these models can produce large dispersions in $\epsilon_\mathrm{ff}$ similar to observations, the origin of the model-predicted scatter is inconsistent with observations. Moreover, all models fail to reproduce the observed decline of $\epsilon_\mathrm{ff}$ with increasing $M_\mathrm{cloud}$ in the LMC and the Milky Way. We conclude that analytical star formation models idealizing global turbulence levels, cloud densities, and assuming a stationary SFR are inconsistent with observations from modern datasets tracing massive star formation on individual cloud scales. Instead, we reiterate the importance of local stellar feedback in shaping the properties of GMCs and setting their massive star formation rate.