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We present the first systematic study of the molecular gas and star formationefficiency in a sample of ten narrow-line Seyfert 1 galaxies selected to haveX-ray Ultra Fast Outflows and, therefore, to potentially show AGN feedbackeffects. CO observations were obtained with the IRAM 30m telescope in sixgalaxies and from the literature for four galaxies. We derived the stellarmass, star formation rate, AGN and FIR dust luminosities by fitting themulti-band spectral energy distributions with the CIGALE code. Most of thegalaxies in our sample lie above the main sequence (MS) and the moleculardepletion time is one to two orders of magnitude shorter than the one typicallymeasured in local star-forming galaxies. Moreover, we found a promisingcorrelation between the star formation efficiency and the Eddington ratio, aswell as a tentative correlation with the AGN luminosity. The role played by theAGN activity in the regulation of star formation within the host galaxies ofour sample remains uncertain (little or no effect? positive feedback?).Nevertheless, we can conclude that quenching by the AGN activity is minor andthat star formation will likely stop in a short time due to gas exhaustion bythe current starburst episode.

Star formation efficiency and AGN feedback in narrow-line Seyfert 1 galaxies with fast X-ray nuclear winds