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We present results from a survey designed to probe the star formationproperties of 32 damped Ly-alpha systems (DLAs) at z~2.7. By using the"double-DLA" technique that eliminates the glare of the bright backgroundquasars, we directly measure the rest-frame FUV flux from DLAs and theirneighbouring galaxies. At the position of the absorbing gas, we place stringentconstraints on the unobscured star formation rates (SFRs) of DLAs to 2-sigmalimits of <0.09-0.27 M/yr, corresponding to SFR surface densities<10^(-2.6)-10^(-1.5) M/yr/kpc^2. The implications of these limits for the starformation law, metal enrichment, and cooling rates of DLAs are examined. Bystudying the distribution of impact parameters as a function of SFRs for allthe galaxies detected around these DLAs, we place new direct constraints on thebright end of the UV luminosity function of DLA hosts. We find that <13% of thehosts have SFR>2 M/yr at impact parameters b < (SFR/(M/yr))^(0.8)+6 kpc,differently from current samples of confirmed DLA galaxies. Our observationsalso disfavor a scenario in which the majority of DLAs arise from bright LBGsat distances 20 < b < 100 kpc. These new findings corroborate a picture inwhich DLAs do not originate from highly star forming systems that arecoincident with the absorbers, and instead suggest that DLAs are associatedwith faint, possibly isolated, star-forming galaxies. Potential shortcomings ofthis scenario and future strategies for further investigation are discussed.

Directly imaging damped Ly-alpha galaxies at z>2. III: The star formation rates of neutral gas reservoirs at z~2.7