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We have analysed high resolution adaptive optics (AO) science demonstrationdata of the young, massive stellar cluster Arches near the Galactic Center,obtained with the Gemini North telescope in combination with the University ofHawai'i AO system Hokupa'a. The AO H and K' photometry is calibrated usingHST/NICMOS observations in the equivalent filters F160W and F205W obtained byFiger et al. (1999). ... After a thorough technical comparison, the Gemini andHST data are used in combination to study the spatial distribution of stellarmasses in the Arches cluster. ... A strong colour gradient is observed over thecluster field. The visual extinction increases by Delta A_V ~ 10 mag over adistance of 15 arcsec from the cluster core. Extinction maps reveal alow-extinction cavity in the densest parts of Arches (R < 5 arcsec), indicatingthe depletion of dust due to stellar winds or photo-evaporation. We correct forthe change in extinction over the field and show that the slope of the massfunction is strongly influenced by the effects of differential extinction. Weobtain present-day mass function slopes of Gamma=-0.8 +- 0.2 in the mass range6 < M < 65 Msun from both data sets. The spatial analysis reveals a steepeningof the mass function slope from close to zero in the cluster center to about-1.7 +- 0.7 at R > 10 arcsec, in accordance with a Salpeter slope, Gamma=-1.35.The bias in the mass function towards high-mass stars in the Arches center is astrong indication for mass segregation. The dynamical and relaxation timescalesfor Arches are estimated, and possible mass segregation effects are discussedwith respect to cluster formation models.Comment: Latex A&A Style, 22 pages, 15 figures, accepted for publication in  A&

The mass function of the Arches cluster from Gemini adaptive optics data