Shin'ichiro Ando, Daisuke Nagai
We analyze 2.8-yr data of 1-100 GeV photons for clusters of galaxies,
collected with Large Area Telescope onboard the Fermi satellite. By analyzing
49 nearby massive clusters located at high Galactic latitudes, we find no
excess gamma-ray emission towards directions of the galaxy clusters. Using flux
upper limits, we show that the Fornax cluster provides the most stringent
constraints on the dark matter annihilation cross section. Stacking a large
sample of nearby clusters improves the limit by only ~10% for low-mass dark
matter. This suggests that a detailed modeling of the Fornax cluster is very
important for setting robust limits on the dark matter annihilation cross
section based on clusters. We therefore perform the detailed mass modeling and
predict the expected dark matter annihilation signals from the Fornax cluster,
by taking into account effects of dark matter contraction and substructures. By
modeling the mass distribution of baryons (stars+gas) around a central bright
elliptical galaxy, NGC 1399, and using a modified contraction model, we show
that the dark matter contraction boosts annihilation signatures by a factor of
4. For a dark matter masses around 10 GeV, the obtained upper limits on the
annihilation cross section times relative velocity is <\sigma v> <~ 10^{-25}
cm^3 s^{-1}, which is only a factor of 3 larger than a value theoretically
preferred to explain the dark matter relic density. This effect is more robust
than the annihilation boost due to substructure, and it is more important
unless the mass of the smallest subhalos is much smaller than that of the Sun.
View original:
http://arxiv.org/abs/1201.0753
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