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In an ongoing programme to identify a sample of high z DLA galaxies we havefound the long sought for case of a Ly-alpha emitter seen in the centre of abroad DLA trough. This is the predicted `textbook case' of an intervening DLAgalaxy if DLA galaxies are small, but would not be expected if intervening highredshift DLA galaxies have large gaseous disks. The Ly-alpha flux is5.4{+2}{-0.8} * 1e-17 ergs/s/cm2 similar to what has been found in previouslyknown high z DLA galaxies. The impact parameter is found to be 0.3+-0.3 arcsec.This is smaller than what was found in previous cases but still consistent withrandom sight-lines through absorbers with mean impact parameter ~1 arcsec. Ofthe 24 DLAs targeted in the NICMOS imaging survey five have now been identifiedas Ly-alpha emitters. The DLA galaxies with detected Ly-alpha emission tend tohave higher interstellar metallicities than those with undetected Ly-alphaemission. This is plausibly explained as a consequence of a positivecorrelation between the Ly-alpha line luminosities of the galaxies and theirmetallicities, although the present sample is too small for a definitiveconclusion. The available observations of high-redshift DLA galaxies are alsoconsistent with a negative correlation between Ly-alpha equivalent widths andmetallicities, as seen in nearby star-forming galaxies and usually attributedto the preferential absorption of Ly-alpha photons by dust grains.Comment: Accepted for publication in A&A-Letter

Detection of Lyman-α emission from a DLA galaxy: Possible implications for a luminosity-metallicity relation at z = 2–3