Observational signatures of forming young massive clusters: continuum emission from dense H II regions

Young massive clusters (YMCs) are the most massive star clusters forming in nearby galaxies and are thought to be a young analogue to the globular clusters. Understanding the formation process of YMCs leads to looking into very efficient star formation in high-redshift galaxies suggested by recent JWST observations. We investigate possible observational signatures of their formation stage, particularly when the mass of a cluster is increasing via accretion from a natal molecular cloud. To this end, we study the broad-band continuum emission from ionized gas and dust enshrouding YMCs, whose formation is followed by recent radiation hydrodynamics simulations. We perform post-process radiative transfer calculations using simulation snapshots and find characteristic spectral features at radio and far-infrared frequencies. We show that a striking feature is long-lasting, strong free-free emission from a ~10-pc-scale H II region with a large emission measure of ≳10⁷ cm^-6 pc, corresponding to the mean electron density of ≳10³ cm^-3. There is a turnover feature below ~10 GHz, a signature of the optically thick free-free emission, often found in Galactic ultracompact H II regions. These features come from the peculiar YMC formation process, where the cluster's gravity effectively traps photoionized gas for a long duration and enables continuous star formation within the cluster. Such large and dense H II regions show distinct distribution on the density-size diagram, apart from the standard sequence of Galactic H II regions. This is consistent with the observational trend inferred for extragalactic H II regions associated with YMCs.