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We present the first measurement of the production cross section of a W bosonwith a single charm quark (c) in p-pbar collisions at sqrt(s)=1.96 TeV, usingsoft muon tagging of c jets. In a data sample of ~1.8 fb-1, recorded with theCDF II detector at the Fermilab Tevatron, we select events with W+1 or 2 jets.We use the charge correlation between the W and the muon from the semileptonicdecay of a charm hadron to extract the Wc signal. We measuresigma_{Wc}(p_{Tc}>20 GeV/c, |\eta_c|<1.5)\times BR(W->\ell\nu) = 9.8+/-3.2 pb,in agreement with theoretical expectations.

First Measurement of the Production of a W Boson in Association with a Single Charm Quark in Proton Anti-proton Collisions at sqrt(s)=1.96 TeV