Self-interacting dark matter was proposed by Spergel & Steinhardt(2000) to alleviate a number of conflicts in Cold Dark Matter (CDM) models: the overabundance of subhalos in the Galactic halo predicted by N-body simulations and constant density cores observed in late-type dwarf and Low Surface Brightness (LSB) galaxies. Using a simple semi-analytical argument we show that a weak self-interacting dark matter capable of reproducing the halo cores of sizes observed in dark matter dominated galaxies, is unable to reconcile the number of satellites in the Galactic halo with the observed number of dwarf galaxies in the Local Group.
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