Abstract
The rotation curves of gas-rich dwarf and low surface brightness (LSB) spiral galaxies have provided the most important pieces of evidence for the existence of dark matter. However their shape in the inner regions is one of the outstanding issues in modern cosmology. In order to explain the so-called “cusp-core” problem, we have applied the effect of the gas pressure from dark matter annihilation into electron-positron pairs to the rotation curves of LSB galaxies. The propagation of the electrons and positrons has been determined by the diffusion-loss equation. We have assumed a uniform diffusion coefficient and considered energy loss mechanisms. By fitting rotation curves of LSB galaxies, we are able to find the constraints on dark matter particles.
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