As I know, when particles and anti-particles come close, they anihilate. So somthing caused me a big trouble : how can particle formed by quarks and anti-quarks can exist? I've just found some mesons that are formed with quarks and anti-quarks like $\pi , D\text{ and }J/\Psi$ mesons (I'm sure that there are other). How can quarks and anti-quarks form particles if they anihilate?
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This is effectively the same as the following question: How do $\pi^0$ particles exist? I hope this helps.