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We present new near-infrared photometric measurements of the core of theyoung massive cluster NGC 3603 obtained with extreme adaptive optics. The datawere obtained with the SPHERE instrument mounted on ESO Very Large Telescope,and cover three fields in the core of this cluster. We applied a correction forthe effect of extinction to our data obtained in the J and K broadband filtersand estimated the mass of detected sources inside the field of view ofSPHERE/IRDIS, which is 13.5"x13.5". We derived the mass function (MF) slope foreach spectral band and field. The MF slope in the core is unusual compared toprevious results based on Hubble space telescope (HST) and very large telescope(VLT) observations. The average slope in the core is estimated as-1.06^{+0.26}_{-0.26} for the main sequence stars with 3.5 Msun < M < 120Msun.Thanks to the SPHERE extreme adaptive optics, 814 low-mass stars weredetected to estimate the MF slope for the pre-main sequence stars with 0.6Msun< M < 3.5 Msun , Gamma = -0.54^{+0.11}_{-0.11} in the K-band images in twofields in the core of the cluster. For the first time, we derive the massfunction of the very core of the NGC 3603 young cluster for masses in the range0.6 - 120 Msun. Previous studies were either limited by crowding, lack ofdynamic range, or a combination of both.

VLT/SPHERE deep insight of NGC 3603's core: Segregation or confusion?