Estimating the dense gas mass of molecular clouds using spatially unresolved 3 mm line observations

Fuente: arXiv
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Autores principales: Zakardjian, Antoine, Hughes, Annie, Pety, Jérôme, Gerin, Maryvonne, Palud, Pierre, Beslic, Ivana, Coudé, Simon, Einig, Lucas, Mazurek, Helena, Orkisz, Jan H., Santa-Maria, Miriam G., Ségal, Léontine, Stuber, Sophia K., Bardeau, Sébastien, Bron, Emeric, Chainais, Pierre, Demyk, Karine, Magalhaes, Victor de Souza, Goicoechea, Javier R., Gratier, Pierre, Guzman, Viviana V., Languignon, David, Levrier, François, Petit, Franck Le, Lis, Dariusz C., Liszt, Harvey S., Peretto, Nicolas, Roueff, Antoine, Roueff, Evelyne, Sievers, Albrecht, Thouvenin, Pierre-Antoine
Formato: Preprint
Publicado: 2025
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author Zakardjian, Antoine
Hughes, Annie
Pety, Jérôme
Gerin, Maryvonne
Palud, Pierre
Beslic, Ivana
Coudé, Simon
Einig, Lucas
Mazurek, Helena
Orkisz, Jan H.
Santa-Maria, Miriam G.
Ségal, Léontine
Stuber, Sophia K.
Bardeau, Sébastien
Bron, Emeric
Chainais, Pierre
Demyk, Karine
Magalhaes, Victor de Souza
Goicoechea, Javier R.
Gratier, Pierre
Guzman, Viviana V.
Languignon, David
Levrier, François
Petit, Franck Le
Lis, Dariusz C.
Liszt, Harvey S.
Peretto, Nicolas
Roueff, Antoine
Roueff, Evelyne
Sievers, Albrecht
Thouvenin, Pierre-Antoine
author_facet Zakardjian, Antoine
Hughes, Annie
Pety, Jérôme
Gerin, Maryvonne
Palud, Pierre
Beslic, Ivana
Coudé, Simon
Einig, Lucas
Mazurek, Helena
Orkisz, Jan H.
Santa-Maria, Miriam G.
Ségal, Léontine
Stuber, Sophia K.
Bardeau, Sébastien
Bron, Emeric
Chainais, Pierre
Demyk, Karine
Magalhaes, Victor de Souza
Goicoechea, Javier R.
Gratier, Pierre
Guzman, Viviana V.
Languignon, David
Levrier, François
Petit, Franck Le
Lis, Dariusz C.
Liszt, Harvey S.
Peretto, Nicolas
Roueff, Antoine
Roueff, Evelyne
Sievers, Albrecht
Thouvenin, Pierre-Antoine
contents We aim to develop a new method to infer the sub-beam probability density function (PDF) of H2 column densities and the dense gas mass within molecular clouds using spatially unresolved observations of molecular emission lines in the 3 mm band. We model spatially unresolved line integrated intensity measurements as the average of an emission function weighted by the sub-beam column density PDF. The emission function, which expresses the line integrated intensity as a function of the gas column density, is an empirical fit to high resolution (< 0.05 pc) multi-line observations of the Orion B molecular cloud. The column density PDF is assumed to be parametric, composed of a lognormal distribution at moderate column densities and a power law distribution at higher column densities. To estimate the sub-beam column density PDF, the emission model is combined with a Bayesian inversion algorithm (the Beetroots code), which takes account of thermal noise and calibration errors. We validate our method by demonstrating that it recovers the true column density PDF of the Orion B cloud, reproducing the observed emission line integrated intensities. We apply the method to 12CO(J=1-0), 13CO(J=1-0), C18O(J=1-0), HCN(J=1-0), HCO+(J=1-0) and N2H+(J=1-0) observations of a 700 x 700 pc2 field of view (FoV) in the nearby galaxy M51. On average, the model reproduces the observed intensities within 30%. The column density PDFs obtained for the spiral arm region within our test FoV are dominated by a power-law tail at high column densities, with slopes that are consistent with gravitational collapse. Outside the spiral arm, the column density PDFs are predominantly lognormal, consistent with supersonic isothermal turbulence. We calculate the mass associated with the powerlaw tail of the column density PDFs and observe a strong, linear correlation between this mass and the 24$μ$m surface brightness.
format Preprint
id arxiv_https___arxiv_org_abs_2504_10145
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Estimating the dense gas mass of molecular clouds using spatially unresolved 3 mm line observations
Zakardjian, Antoine
Hughes, Annie
Pety, Jérôme
Gerin, Maryvonne
Palud, Pierre
Beslic, Ivana
Coudé, Simon
Einig, Lucas
Mazurek, Helena
Orkisz, Jan H.
Santa-Maria, Miriam G.
Ségal, Léontine
Stuber, Sophia K.
Bardeau, Sébastien
Bron, Emeric
Chainais, Pierre
Demyk, Karine
Magalhaes, Victor de Souza
Goicoechea, Javier R.
Gratier, Pierre
Guzman, Viviana V.
Languignon, David
Levrier, François
Petit, Franck Le
Lis, Dariusz C.
Liszt, Harvey S.
Peretto, Nicolas
Roueff, Antoine
Roueff, Evelyne
Sievers, Albrecht
Thouvenin, Pierre-Antoine
Astrophysics of Galaxies
Instrumentation and Methods for Astrophysics
We aim to develop a new method to infer the sub-beam probability density function (PDF) of H2 column densities and the dense gas mass within molecular clouds using spatially unresolved observations of molecular emission lines in the 3 mm band. We model spatially unresolved line integrated intensity measurements as the average of an emission function weighted by the sub-beam column density PDF. The emission function, which expresses the line integrated intensity as a function of the gas column density, is an empirical fit to high resolution (< 0.05 pc) multi-line observations of the Orion B molecular cloud. The column density PDF is assumed to be parametric, composed of a lognormal distribution at moderate column densities and a power law distribution at higher column densities. To estimate the sub-beam column density PDF, the emission model is combined with a Bayesian inversion algorithm (the Beetroots code), which takes account of thermal noise and calibration errors. We validate our method by demonstrating that it recovers the true column density PDF of the Orion B cloud, reproducing the observed emission line integrated intensities. We apply the method to 12CO(J=1-0), 13CO(J=1-0), C18O(J=1-0), HCN(J=1-0), HCO+(J=1-0) and N2H+(J=1-0) observations of a 700 x 700 pc2 field of view (FoV) in the nearby galaxy M51. On average, the model reproduces the observed intensities within 30%. The column density PDFs obtained for the spiral arm region within our test FoV are dominated by a power-law tail at high column densities, with slopes that are consistent with gravitational collapse. Outside the spiral arm, the column density PDFs are predominantly lognormal, consistent with supersonic isothermal turbulence. We calculate the mass associated with the powerlaw tail of the column density PDFs and observe a strong, linear correlation between this mass and the 24$μ$m surface brightness.
title Estimating the dense gas mass of molecular clouds using spatially unresolved 3 mm line observations
topic Astrophysics of Galaxies
Instrumentation and Methods for Astrophysics
url https://arxiv.org/abs/2504.10145