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I think that current usage is a mu+ mu- atom. In that usage,
quark + anti-quark states (like the J/psi and the Upsilon) are
referred to generically as quarkonium.
.. It then cascades, largely by E1 transitions down to low-n
states from which it annihilates with the proton. Last time I
looked, decades ago, the capture time was mysteriously
longer than expected from calculations.