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We present the sharpest and deepest near infrared photometric analysis of thecore of R136, a newly formed massive star cluster at the centre of the 30Doradus star forming region in the Large Magellanic Cloud. We used the extremeadaptive optics of the SPHERE focal instrument implemented on the ESO VeryLarge Telescope and operated in its IRDIS imaging mode, for the second timewith longer exposure time in the H- and K filters. Our aim was to (i) increasethe number of resolved sources in the core of R136, and (ii) to compare withthe first epoch to classify the properties of the detected common sourcesbetween the two epochs. Within the field of view (FOV) of 10.8"x12.1" (2.7pcx3.0pc), we detected 1499 sources in both H and K filters, for which 76% ofthese sources have visual companions closer than 0.2". The larger number ofdetected sources, enabled us to better sample the mass function (MF). The MFslopes are estimated at ages of 1, 1.5 and 2 Myr, at different radii, and fordifferent mass ranges. The MF slopes for the mass range of 10-300 solar-massare about 0.3 dex steeper than the mass range of 3-300 solar-mass, for thewhole FOV and different radii. Comparing the JHK colours of 790 sources commonin between the two epochs, 67% of detected sources in the outer region (r >3")are not consistent with evolutionary models at 1-2 Myr and with extinctionssimilar to the average cluster value, suggesting an origin from ongoing starformation within 30 Doradus, unrelated to R136.

High contrast and resolution near infrared photometry of the core of R136