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Star-forming galaxies (SFGs) with stellar masses below $10^{10}\,M_\odot$make up the bulk of the galaxy population at $z>2$. The properties of the coldgas in these galaxies can only be probed in very deep ALMA observations or bytargeting strongly lensed galaxies. Here we report the results of a pilotsurvey using the Atacama Compact Array (ACA) of molecular gas in the moststrongly magnified galaxies selected as giant arcs in optical data. Theselection in rest-frame UV wavelengths ensures that sources are regular starforming galaxies, without a priori indications of intense dusty starburstactivity. We conducted Band 4 and Band 7 observations to detect mid-$J$ CO, [CI] and thermal continuum as molecular gas tracers from four strongly lensedsystems at $z\approx2-3$: our targets are SGAS J1226651.3+215220 (A and B),SGAS J003341.5+024217 and the Sunburst Arc. The measured molecular mass is thenprojected onto the source plane with detailed lens models developed from highresolution HST observations. Multiwavelength photometry is then used to obtainthe intrinsic stellar mass and star formation rate via SED fitting. In only oneof the sources are the three tracers robustly detected, while in the othersthey are either undetected or detected in continuum only. The implied moleculargass masses range from $4\times 10^{9}\,M_\odot$ in the detected source to anupper limit of $\lesssim 10^9\,M_\odot$ in the most magnified source. Theinferred gas fraction and gas depletion timescale are found to lieapproximately 0.5 to 1.0 dex below the established scaling relations based onprevious studies of unlensed massive galaxies. Our results indicate that thecold gas content of intermediate to low mass galaxies should not beextrapolated from the trends seen in more massive high-$z$ galaxies. (Abridgedabstract)

Molecular gas budget and characterization of intermediate-mass star-forming galaxies at $z\approx 2-3$