Large turbulent reservoirs of cold molecular gas around high-redshift starburst galaxies
Starburst galaxies at the peak of cosmic star formation are among the most extreme starforming engines in the universe, producing stars over ~100 Myr. The star formation rates of these galaxies, which exceed 100 $M_\odot$ per year, require large reservoirs of cold molecular gas to be delivered to their cores, despite strong feedback from stars or active galactic nuclei. Starburst galaxies are therefore ideal targets to unravel the critical interplay between this feedback and the growth of a galaxy. The methylidyne cation, CH$^+$, is a most useful molecule for such studies because it cannot form in cold gas without supra-thermal energy input, so its presence highlights dissipation of mechanical energy or strong UV irradiation. Here, we report the detection of CH$^+$(J=1-0) emission and absorption lines in the spectra of six lensed starburst galaxies at redshifts z~2.5. This line has such a high critical density for excitation that it is emitted only in very dense ($>10^5$ cm$^{-3}$) gas, and is absorbed in low-density gas. We find that the CH$^+$ emission lines, which are broader than 1000 km s$^{-1}$, originate in dense shock waves powered by hot galactic winds. The CH$^+$ absorption lines reveal highly turbulent reservoirs of cool ($T\sim 100$K), low-density gas, extending far outside (>10 kpc) the starburst cores (radii <1 kpc). We show that the galactic winds sustain turbulence in the 10 kpc-scale environments of the starburst cores, processing these environments into multi-phase, gravitationally bound reservoirs. However, the mass outflow rates are found to be insufficient to balance the star formation rates. Another mass input is therefore required for these reservoirs, which could be provided by on-going mergers or cold stream accretion. Our results suggest that galactic feedback, coupled jointly to turbulence and gravity, extends the starburst phase instead of quenching it.