I know that the spin of an up-quark is $1/2$ but is this referring to the spin of a valance quark or the spin of a constituent quark (i.e. a valance quark with all the sea quarks and gluon around it)?
1 Answer
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Here is a nice illustration of a proton
you would have to really countup everything at every instant to find the three extra quark called valence quarks. The sea quarks and the valence quarks have different parton distribution functions, but as far as particle characteristics they are indistinguishable .