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Dark Matter shows up in cosmological observations as deviation of velocity of e.g. spiral galaxy arms and so on, so we know it interacts gravitational. We cannot see it, and in the Bullet Cluster you can see no interaction of the Dark Matter like the hydrogenium gas shows up - so we assume it to not interact electromagnetic. That leads up for the search for WIMPS, weakly interacting massive particles. But why do we not assume it to interact strongly?

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    $\begingroup$ If it did, then it could just be part of nucleons/mesons, no? $\endgroup$
    – ACuriousMind
    Commented Oct 4, 2015 at 13:18
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    $\begingroup$ Decay of DM would produce neutral pions which would produce photons that we would detect. Also, we would probably produce it at LHC. $\endgroup$
    – Ihle
    Commented Oct 4, 2015 at 13:19
  • $\begingroup$ @lhle: We hope to produce it at LHC, and DM is assumed to be stable as it is assumed to be an elementary particle. $\endgroup$ Commented Oct 4, 2015 at 13:56
  • $\begingroup$ @ACuriousMind: Why is there a problem with DM to be part of nucleons/mesons? $\endgroup$ Commented Oct 4, 2015 at 13:56
  • $\begingroup$ @A.Landwonder See physics.stackexchange.com/questions/153722/… and links therein for an answer to that. $\endgroup$
    – HDE 226868
    Commented Oct 4, 2015 at 14:32

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The elementary particles of the standard model that interact strongly are the quarks, the purple ones in the plot, the interactions happening with gluons.

elempart

Note that all of them are charged, and therefore they interact also with the electromagnetic interaction. They would be seen: protons would interact with electrons in space and give off radiation , neutrons would decay into protons and electrons. Higher strong resonances are unstable and would end up into photons electrons and protons in the end. After all if you do not have hydrogen you also do not have protons.

It is only the weak interacting particles that can be candidates for dark matter.

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