Abstract

An essential difference between two-flavor and three-flavor descriptions of baryons in large N{sub c} QCD is discussed in detail. For N{sub c}{ge}3 a state with the SU(3) flavor quantum numbers of the proton must contain a number of strange quarks n{sub s}{ge}(N{sub c}{minus}3)/3, while a state with no strange quarks must have extra hypercharge Y{minus}1 = 3/N{sub c}{minus}1. The extra strangeness or extra hypercharge which vanishes for N{sub c} = 3 is spurious for the physical proton. This problem does not arise in two-flavor QCD, where the flavor-SU(2) Skyrmion may give a good approximation for nucleon-pion physics at low energies below strangeness threshold. But any nucleon model with SU(3) flavor symmetry which is interpreted as arising from the large N{sub c} limit in QCD can lead to erroneous conclusions about the spin and flavor structure of the proton. 12 refs.

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