Molecular gas properties of a lensed star-forming galaxy at z~3.6: a case study

We report on the galaxy MACSJ0032-arc (z=3.6314) discovered during the Herschel Lensing snapshot Survey of massive galaxy clusters and strongly lensed by the cluster MACSJ0032.1+1808. The successful detections of its rest-frame UV, optical, FIR, millimeter, and radio continua as well as of CO emission enable us to characterise, for the first time at such a high redshift, the stellar, dust, and molecular gas properties of a normal star-forming galaxy with a stellar mass of 4.8x10^9 Msun and an IR luminosity of 4.8x10^{11} Lsun. We find that the bulk of the molecular gas mass and star formation seems to be spatially decoupled from the rest-frame UV emission. About 90% of the total star formation rate is seen through the thermal FIR dust emission and the radio synchrotron radiation, and is undetected at rest-frame UV wavelengths because of severe obscuration by dust. The observed CO(1-0), CO(4-3) and CO(6-5) lines demonstrate that high-J transitions, at least up to J=6, remain excited in this galaxy, whose CO spectral line energy distribution resembles that of high-redshift submm galaxies, even though the IR luminosity of MACSJ0032-arc is 10 times lower. This high CO excitation is possibly due to the compactness of the galaxy. We find evidence that this high CO excitation has to be considered in the balance when estimating the CO-to-H_2 conversion factor. Indeed, the respective CO-to-H_2 conversion factors as derived from the correlation with metallicity and the FIR dust continuum can be nicely reconciled if excitation corrections are accounted for. The inferred depletion timescale of the molecular gas in MACSJ0032-arc confirms the decrease of tdepl with redshift, although to a lesser degree than predicted by models, whereas the deduced molecular gas fraction suggests a continued increase of fmolgas with redshift as expected, despite the plateau observed between z~1.5 and z~2.5.