{ "id": "2205.08279", "version": "v1", "published": "2022-05-16T09:11:21.000Z", "updated": "2022-05-16T09:11:21.000Z", "title": "Revisiting The Mass-Size Relation Of Structures In Molecular Clouds", "authors": [ "Yuchen Xing", "Keping Qiu" ], "comment": "14 pages, 9 figures. Accepted by Research in Astron. Astrophys", "doi": "10.1088/1674-4527/ac6fb7", "categories": [ "astro-ph.GA", "astro-ph.SR" ], "abstract": "We revisit the mass-size relation of molecular cloud structures based on the column density map of the Cygnus-X molecular cloud complex. We extract 135 column density peaks in Cygnus-X and analyze the column density distributions around these peaks. The averaged column density profiles, $N(R)$, around all the peaks can be well fitted with broken power-laws, which are described by an inner power-law index $n$, outer power-law index $m$, and the radius $R_{\\rm TP}$ and column density $N_{\\rm TP}$ at the transition point. We then explore the $M-R$ relation with different samples of cloud structures by varying the $N(R)$ parameters and the column density threshold, $N_0$, which determines the boundary of a cloud structure. We find that only when $N_0$ has a wide range of values, the $M - R$ relation may largely probe the density distribution, and the fitted power-law index of the $M-R$ relation is related to the power-law index of $N(R)$. On the contrary, with a constant $N_0$, the $M - R$ relation has no direct connection with the density distribution; in this case, the fitted power-law index of the $M - R$ relation is equal to 2 (when $N_0\\ge N_{\\rm TP}$ and $n$ has a narrow range of values), larger than 2 (when $N_0\\ge N_{\\rm TP}$ and $n$ has a wide range of values), or slightly less than 2 (when $N_0< N_{\\rm TP}$).", "revisions": [ { "version": "v1", "updated": "2022-05-16T09:11:21.000Z" } ], "analyses": { "keywords": [ "mass-size relation", "density distribution", "cloud structure", "fitted power-law index", "wide range" ], "tags": [ "journal article" ], "publication": { "publisher": "IOP" }, "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable" } } }