GOODS-Herschel: Gas-to-dust Mass Ratios and CO-to-H_2 Conversion Factors in Normal and Starbursting Galaxies at High-z

We explore the gas-to-dust mass ratio (M_gas/M_d) and the CO luminosity-to-M_gas conversion factor (α_(CO)) of two well-studied galaxies in the Great Observatories Origins Deep Survey North field that are expected to have different star-forming modes, the starburst GN20 at z = 4.05 and the normal star-forming galaxy BzK-21000 at z = 1.52. Detailed sampling is available for their Rayleigh-Jeans emission via ground-based millimeter (mm) interferometry (1.1-6.6 mm) along with Herschel PACS and SPIRE data that probe the peak of their infrared emission. Using the physically motivated Draine & Li models, as well as a modified blackbody function, we measure the dust mass (M_(dust)) of the sources and find (2.0^(+0.7)_(–0.6) × 10^9) M_☉for GN20 and (8.6^(+0.6)_(–0.9) × 10^8) M_☉ for BzK-21000. The addition of mm data reduces the uncertainties of the derived M_(dust) by a factor of ~2, allowing the use of the local M_(gas)/M_d versus metallicity relation to place constraints on the αCO values of the two sources. For GN20 we derive a conversion factor of α_(CO) < 1.0 M_☉ pc^(–2) (K km s^(–1))^(–1), consistent with that of local ultra-luminous infrared galaxies, while for BzK-21000 we find a considerably higher value, α_(CO) ~4.0 M_☉ pc^(–2) (K km s^(–1))^(–1), in agreement with an independent kinematic derivation reported previously. The implied star formation efficiency is ~25 L_☉/M_☉ for BzK-21000, a factor of ~5-10 lower than that of GN20. The findings for these two sources support the existence of different disk-like and starburst star formation modes in distant galaxies, although a larger sample is required to draw statistically robust results