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Star formation on galactic scales is known to be a slow process, but whetherit is slow on smaller scales is uncertain. We cross-correlate 5469 giantmolecular clouds (GMCs) from a new all-sky catalog with 256 star formingcomplexes (SFCs) to build a sample of 191 SFC-GMC complexes---collections ofmultiple clouds each matched to 191 SFCs. The total mass in stars harbored bythese clouds is inferred from WMAP free-free fluxes. We measure the GMC mass,the virial parameter, the star formation efficiency $\epsilon$ and the starformation rate per free-fall time $\epsilon_{\rm ff}$. Both $\epsilon$ and$\epsilon_{\rm ff}$ range over 3--4 orders of magnitude. We find that 68.3% ofthe clouds fall within $\sigma_{\log\epsilon}=0.79\pm0.22\,{\rm dex}$ and$\sigma_{\log\epsilon_{\rm ff}}=0.91\pm0.22\,{\rm dex}$ about the median.Compared to these observed scatters, a simple model with a time independent$\epsilon_{\rm ff}$ that depends on the host GMC properties predicts$\sigma_{\log\epsilon_{\rm ff}}=$0.12-0.24. Allowing for a time-variable$\epsilon_{\rm ff}$, we can recover the large dispersion in the rate of starformation. This strongly suggests that star formation in the Milky Way is adynamic process on GMC scales. We also show that the surface star formationrate profile of the Milky Way correlates well with the molecular gas surfacedensity profile.

Observational Evidence of Dynamic Star Formation Rate in Milky Way Giant Molecular Clouds