1303.1727 (R. Foot)
R. Foot
Mirror dark matter, and other similar dissipative dark matter candidates, need an energy source to stabilize dark matter halos in spiral galaxies. It has been suggested previously that ordinary supernovae can potentially supply the required energy. By matching the energy supplied to the halo from supernovae to that lost due to radiative cooling, we here derive an approximate scaling relation, $R_{SN} \propto \rho_0^2 r_0^3$ ($R_{SN}$ is the supernova rate and $\rho_0, \ r_0$ the dark matter central density and core radius). Such a relation is consistent with dark matter properties inferred from studies of spiral galaxies with halo masses larger than $3\times 10^{11} M_\odot$. We also present a line of reasoning, related to the details of supernova energy transport in the halo, which explains why galaxies have a cored distribution and yields a second scaling relation, $r_0 \propto 1/\rho_0$. This relation is also in agreement with observations.
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http://arxiv.org/abs/1303.1727
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