Cosmic rays, gas and dust in the Central Molecular Zone I -- $X_{CO}$ factors, cosmic-ray densities and dust opacities

Abstract

Our goal is to estimate the total gas mass in the direction of the Central Molecular Zone (CMZ), quantify the various uncertainties associated, and discuss the implications for the estimates of CR energy densities and dust opacities. The $H_{\rm{I}}$ 21 cm line and the carbon monoxide isotopes ($^{12}\rm{CO}$, $^{13}\rm{CO}$ and $\rm{C}^{18}\rm{O}$) line emission maps are used to derive the total gas column density. The gas in the CMZ is separated from the disk contribution in position and velocity thanks to its different properties in term of velocity dispersion and brightness ratio of CO isotopes. The variations of the $X_{\rm{CO}}$ factors are modelled relying on both theoretical trends from simulations and empirical corrections. We use the new gas column density estimated together with gamma-ray and dust emission measurements to derive the CR energy density and dust opacities, respectively. The $X_{\rm{CO}}$ values in the CMZ range from $(0.32 - 1.37) \ \times$ $10^{20}$ cm$^{-2}$ K$^{-1}$ km$^{-1}$ s, with a distribution that is highly asymmetric and skewed. The median value is $ \rm{\overline{X}_{CO}^{CMZ}} = 0.39 \ \times$ $10^{20}$ cm$^{-2}$ K$^{-1}$ km$^{-1}$ s. The total gas mass in the CMZ is estimated to be $2.3_{-0.3}^{+0.3}\times10^{7} \; \rm{M_{\odot}}$ with $\sim 10 \%$ contribution from the atomic phase. Without removing the disk contamination the total mass is about twice higher, and the atomic gas fraction increases to $\sim30\%$. The cosmic-ray (CR) energy density in the CMZ, assuming a 1/r profile, is higher by a factor of two compared to the previous calculations at TeV energies. Using molecular gas tracers which probes only the densest molecular cores leads to an overestimation of the CR energy density, while ignoring the foreground/background contribution leads to an underestimation of the CR energy density in the CMZ.