Heavier hydrogen-like bound states?

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Ian Mitchell
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Before I begin, I would like to say what I am about to ask would require some sort of top-top-bottom bound state for it to function. Which (to my knowledge) has not been experimentally or theoretically predicted. Also, in case if you are wondering- no, this is not a homework question.
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So, if we know that hydrogen exists, could we also hypothetically observe some sort of hydrogen-like state where there would be second generation quarks (charm and strange) or third generation quarks (top and bottom/truth and beauty) bound in a proton like state; with a muon or tau-lepton acting like an electron?*

* Yes, I am aware of positronium bound states and exotic atoms (Introduction to Elementary Particles, Griffiths, page 169).
 
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Well, we couldn’t store it, but for very short times these systems could exist. ccc, ccs and sss can only decay via the weak interaction, that makes their lifetime long enough to bind a muon (or antimuon for sss) via the electromagnetic interaction. css would be neutral.

Top quarks decay too fast to form hadrons, but bbb with an anti-tau might be possible.

There is just no realistic way to produce any of these things.
 
It sounds to me that the OP wants to create large quantities and/or stable matter. My response should be read in that light.

Furthermore, the ttb state mentioned in the OP does not exist in a meaningful way due to the top lifetime.

Also taking into account to that that the OP wanted the state to include a mu or tau instead of an electron and you have serious production issues even if such a state could theoretically exist.