The stellar cusp around the supermassive black hole in the galactic center

We analyze deep near- IR adaptive optics imaging ( taken with NAOS/ CONICA on the Very Large Telescope at the European Southern Observatory, Chile), as well as new proper- motion data of the nuclear star cluster of the Milky Way. The surface density distribution of faint ( H less than or equal to 20, K-s less than or equal to 19) stars peaks within 0". 2 of the black hole candidate Sgr A*. The radial density distribution of this stellar " cusp '' follows a power law of exponent alpha similar to 1.3 - 1.4. The K- band luminosity function of the overall nuclear stellar cluster ( within 900 of Sgr A*) resembles that of the large- scale Galactic bulge but shows an excess of stars at K-s less than or equal to 14. It fits population synthesis models of an old, metal- rich stellar population with a contribution from young, early, and late- type stars at the bright end. In contrast, the cusp within less than or equal to 1".5 of Sgr A* appears to have a featureless luminosity function, suggesting that old, low- mass, horizontal- branch/ red- clump stars are lacking. Likewise, there appear to be fewer late- type giants. The innermost cusp also contains a group of moderately bright, early- type stars that are tightly bound to the black hole. We interpret these results as evidence that the stellar properties change significantly from the outer cluster ( greater than or equal to a few arcseconds) to the dense innermost region around the black hole. We find that most of the massive early- type stars at distances of 100 - 1000 from Sgr A* are located in two rotating and geometrically thin disks. These disks are inclined at large angles and counter-rotate with respect to each other. Their stellar content is essentially the same, indicating that they formed at the same time. We conclude that of the possible formation scenarios for these massive stars the most probable one is that 5 - 8 million years ago two clouds fell into the center, collided, were shock compressed, and then formed two rotating ( accretion) disks orbiting the central black hole. For the OB stars in the central arcsecond, on the other hand, a stellar merger model is the most appealing explanation. These stars may thus be " super - blue stragglers,'' formed and " rejuvenated '' through mergers of lower mass stars in the very dense (greater than or equal to 10(8) M. pc(-3) ) environment of the cusp. The " collider model '' also accounts for the lack of giants within the central few arcseconds. The star closest to Sgr A* in 2002, S2, exhibits a 3.8 mum excess. We propose that the mid- IR emission comes either from the accretion flow around the black hole itself or from dust in the accretion flow that is heated by the ultraviolet emission of S2.