  We study the main spectral features of the gamma-ray fluxes observed by the
High Energy Stereoscopic System (HESS) from the J1745-290 Galactic Center
source during the years 2004, 2005 and 2006. In particular, we show that these
data are well fitted as the secondary gamma-rays photons generated from dark
matter annihilating into Standard Model particles in combination with a simple
power law background. We present explicit analyses for annihilation in a single
standard model particle-antiparticle pair. In this case, the best fits are
obtained for the u and d quark-antiquark channels and for the WW and ZZ gauge
bosons, with background spectral index compatible with the Fermi-Large Area
Telescope (LAT) data from the same region. The fits return a heavy WIMP, with a
mass above 10 TeV approximately, but well below the unitarity limit for thermal
relic annihilation.
