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What particles are v\bar and v?

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Anti-neutrinos and neutrinos, respectively. It's the Greek letter "nu", not a "v", btw.

Anti-bottom-quark and Bottom-quark.

I couldn't find that in the text, so I dunno. "l" probably means a charged lepton, nu probably still is a neutrino, the arrow indicates a decay. Could it be that the "B" is not a capital one and the "c" is not a subscript to the "X"? It might be the decay of a bottom-boson into a charm-boson, a lepton (i.e. electron, muon or tau), the neutrino fitting to the lepton (to preserve fermion number), and whatever crap possibly also produced but irrelevant to the discussion (some stuff X), then. But without knowing where you read that that is only a guess.

Then it presumably means the decay of some hadron containing a b-quark to a hadron containing a u-quark and the lepton and neutrino that come from the decay of the b-quark into an up-quark. But that also is just a guess; I have little to no experience with hadrons and never read a b-physics paper myself.

Same as the [math]X_u[/math] except with a charm-quark instead of an up-quark.

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