Why do dark matter and baryon matter have different distributions?

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Dark matter is distributed in halos around visible galaxies, while baryon matter is distributed in spiral-shaped visible galaxies. Where does this difference come from?
 
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Baryon matter has the ability to radiate away energy through its electromagnetic interactions, which leads to the ability to clump together in more tightly bound systems.

Edit: Also, not all galaxies are spiral galaxies, but they are generally more tightly bound than their halos.
 
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Your question gives me the chance to cite one a fun paper. Dark matter doesn't radiate of course. If it did it wouldn't be dark. The consequences of that are given in the paper.

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The picture above is from a very entertaining paper, The Potato Radius: a Lower Minimum Size for Dwarf Planets you might have fun reading it.