The CO-to-H$_2$ conversion factor in the Milky Way's central parsec
Mark Gorski, Lena Murchikova
TL;DR
This study tackles the problem of measuring the CO-to-H$_2$ conversion factor in the Milky Way's central parsec, where extreme environmental conditions may alter the standard disk value. Using ALMA CO($J=2-1$) observations of the circumnuclear disk around Sgr A*, the authors derive $\\alpha_{\mathrm{CO}}$ and $X_{\mathrm{CO}}$ without virial assumptions, via two independent approaches: area-based and HCN($J=1-0$) flux-based estimates. They find $\\alpha_{\mathrm{CO}} \approx 4.3$–$4.7\,M_\odot\,(\\mathrm{K\,km\,s^{-1}\,pc^{2}})^{-1}$ and $X_{\mathrm{CO}} \approx (2.1\pm1.1)\times10^{20}$ cm$^{-2}$ (K km s$^{-1}$)$^{-1}$, values that align with the Galactic disk but exceed CMZ values, implying the CND's gas properties differ from the CMZ. Foreground absorption is assessed and found to have only a minor effect ($\lesssim 1\%$) on the measurements. Overall, the results provide a crucial benchmark for molecular gas mass estimates in galactic centers and highlight the importance of region-specific conversion factors.
Abstract
Carbon monoxide (CO) emission is a widely used tracer of molecular hydrogen (H$_2$) in the interstellar medium (ISM), owing to its abundance, low excitation energy, and ease of detection in cold molecular environments, in contrast to $\mathrm{H}_2$ itself. While the CO-to-$\mathrm{H}_2$ conversion factor is often assumed to be constant across the disks of galaxies, deviations are observed in extreme environments such as the central molecular zone (CMZ) in galactic nuclei. Here we present the first estimate of the CO-to-$\mathrm{H}_2$ conversion factor on sub-kpc scales. We calculate CO-to-$\mathrm{H}_2$ conversion in the Milky Way's Circumnuclear Disk/Ring (CND/CNR) at $\sim 1$ pc radius around the Galactic Center black hole. We derive a conversion factor of $α_\mathrm{CO} \simeq 4.5\pm2.5 \, M_\odot (\mathrm{K \, km \, s^{-1} pc^2})^{-1}$ or X[CO] $\simeq (2.1\pm1.1)\times 10^{20} \, \mathrm{cm}^{-2} (\mathrm{K \, km \, s^{-1}})^{-1}$. This value is consistent with the Galactic disk but higher than CMZ.
