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We present a detailed clustering analysis of the young stellar populationacross the star-forming ring galaxy NGC 6503, based on the deep HST photometryobtained with the Legacy ExtraGalactic UV Survey (LEGUS). We apply acontour-based map analysis technique and identify in the stellar surfacedensity map 244 distinct star-forming structures at various levels ofsignificance. These stellar complexes are found to be organized in ahierarchical fashion with 95% being members of three dominant super-structureslocated along the star-forming ring. The size distribution of the identifiedstructures and the correlation between their radii and numbers of stellarmembers show power-law behaviors, as expected from scale-free processes. Theself-similar distribution of young stars is further quantified from theirautocorrelation function, with a fractal dimension of ~1.7 for length-scalesbetween ~20 pc and 2.5 kpc. The young stellar radial distribution sets theextent of the star-forming ring at radial distances between 1 and 2.5 kpc.About 60% of the young stars belong to the detected stellar structures, whilethe remaining stars are distributed among the complexes, still inside the ringof the galaxy. The analysis of the time-dependent clustering of youngpopulations shows a significant change from a more clustered to a moredistributed behavior in a time-scale of ~60 Myr. The observed hierarchy instellar clustering is consistent with star formation being regulated byturbulence across the ring. The rotational velocity difference between theedges of the ring suggests shear as the driving mechanism for this process. Ourfindings reveal the interesting case of an inner ring forming stars in ahierarchical fashion.

Hierarchical Star Formation across the ring galaxy NGC 6503