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Dark Matter Substructure and Gamma‐Ray Annihilation in the Milky Way Halo

Jürg Diemand, Michael Kuhlen, Piero Madau

📄 Abstract

We present initial results from “Via Lactea,” the highest resolution simulation to date of Galactic CDM substructure. It follows the formation of a Milky Way-sized halo with M halo = 1.8 × 10 12 M ☉ in a WMAP three-year cosmology, using 234 million particles. Over 10,000 subhalos can be identified at z = 0: their cumulative mass function is well-fit by N (> M sub ) = 0.0064 ( M sub / M halo ) -1 down to M sub = 4 × 10 6 M ☉ . The total mass fraction in subhalos is 5.3%, while the fraction of surface mass density in substructure within a projected distance of 10 kpc from the halo center is 0.3%. Because of the significant contribution from the smallest resolved subhalos, these fractions have not converged yet. Sub-substructure is apparent in all the larger satellites, and a few dark matter lumps are resolved even in the solar vicinity. The number of dark satellites with peak circular velocities above 10 km s -1 (5 km s -1 ) is 124 (812): of these, five (26) are found within 0.1 r vir , a region that appeared practically smooth in previous simulations. The neutralino self-annihilation γ-ray emission from dark matter clumps is approximately constant per subhalo mass decade. Therefore, while in our run the contribution of substructure to the γ-ray luminosity of the Galactic halo amounts to only 40% of the total spherically averaged smooth signal, we expect this fraction to grow significantly as resolution is increased further. An all-sky map of the expected annihilation γ-ray flux reaching a fiducial observer at 8 kpc from the Galactic center shows that at the current resolution a small number of subhalos start to be bright enough to be visible against the background from the smooth density field surrounding the observer.

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