SEEDisCS II. Molecular gas in galaxy clusters and their large scale structure: the case of CL1411.1$-$1148 at $z\sim0.5$

We investigate how the galaxy reservoirs of molecular gas fuelling star formation are transformed while the host galaxies infall onto galaxy cluster cores. As part of the Spatially Extended ESO Distant Cluster Survey (SEEDisCS), we present CO(3-2) observations of 27 star forming galaxies obtained with the Atacama Large Millimeter Array (ALMA). These sources are located inside and around CL1411.1$-$1148 at $z=0.5195$, within 5 times the cluster virial radius. These targets were selected to have similar stellar masses (M$_{\rm star}$), colours, and magnitudes as a field comparison sample at similar redshift drawn from the Plateau de Bure high-$z$ Blue Sequence Survey (PHIBSS2). We compare the cold gas fraction ($\mu_{\rm H_2}=$ M$_{\rm H_2}$/M$_{\rm star}$), specific star formation rates (SFR/M$_{\rm star}$) and depletion timescales ($t_{\rm depl}=$ M$_{\rm H_2}$/SFR) of our main sequence galaxies to the PHIBSS2 sub-sample. While the majority of our galaxies, 63\%, are consistent with PHIBSS2, the remainder falls below the relation between $\mu_\mathrm{H_2}$ and M$_{\rm star}$ of the PHIBSS2 galaxies at $z\sim0.5$. These low-$\mu_\mathrm{H_2}$ galaxies are not compatible with the tail of a Gaussian distribution, hence they correspond to a new population of galaxies, with normal SFRs but low gas content and low depletion times $\lesssim 1$ Gyr, that was absent from previous surveys. We suggest that the star formation activity of these galaxies has not yet been lowered by the status of their gas reservoir.