{ "id": "1101.0813", "version": "v1", "published": "2011-01-04T21:00:19.000Z", "updated": "2011-01-04T21:00:19.000Z", "title": "From the molecular-cloud- to the embedded-cluster-mass function with a density threshold for star formation", "authors": [ "Genevieve Parmentier" ], "comment": "15 pages, 12 figures, accepted to MNRAS", "categories": [ "astro-ph.GA", "astro-ph.CO" ], "abstract": "The mass function of molecular clouds and clumps is shallower than the mass function of young star clusters, gas-embedded and gas-free alike, as their respective mass function indices are $\\beta_0 \\simeq 1.7$ and $\\beta_\\star \\simeq 2$. We demonstrate that such a difference can arise from different mass-radius relations for the embedded-clusters and the molecular clouds (clumps) hosting them. In particular, the formation of star clusters with a constant mean {\\it volume} density in the central regions of molecular clouds of constant mean {\\it surface} density steepens the mass function from clouds to embedded-clusters. This model is observationally supported since the mean surface density of molecular clouds is approximately constant, while there is a growing body of evidence, in both Galactic and extragalactic environments, that efficient star-formation requires a hydrogen molecule number density threshold of $n_{th} \\simeq 10^{4-5}\\,cm^{-3}$. In the framework of the same model, the radius distribution steepens from clouds (clumps) to embedded-clusters, which contributes to explaining observed cluster radius distributions. [Abridged]", "revisions": [ { "version": "v1", "updated": "2011-01-04T21:00:19.000Z" } ], "analyses": { "keywords": [ "star formation", "embedded-cluster-mass function", "molecular clouds", "hydrogen molecule number density threshold", "radius distribution" ], "tags": [ "journal article" ], "publication": { "doi": "10.1111/j.1365-2966.2011.18269.x", "journal": "Monthly Notices of the Royal Astronomical Society", "year": 2011, "month": "May", "volume": 413, "number": 3, "pages": 1899 }, "note": { "typesetting": "TeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable", "inspire": 883414, "adsabs": "2011MNRAS.413.1899P" } } }