First Measurement of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>W</mml:mi></mml:math>Boson Production in Association with a Single Charm Quark in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>p</mml:mi><mml:mover accent="true"><mml:mi>p</mml:mi><mml:mo>¯</mml:mo></mml:mover></mml:math>Collisions at<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msqrt><mml:mi>s</mml:mi></mml:msqrt><mml:mo>=</mml:mo><mml:mn>1.96</mml:mn><mml:mtext> </mml:mtext><mml:mtext> </mml:mtext><mml:mi>TeV</mml:mi></mml:math>

We present the first measurement of the production cross section of a $W$ boson with a single charm quark ($c$) in $p\overline{p}$ collisions at $\sqrt{s}=1.96\text{ }\text{ }\mathrm{TeV}$, using soft muon tagging of $c$ jets. In a data sample of $\ensuremath{\sim}1.8\text{ }\text{ }{\mathrm{fb}}^{\ensuremath{-}1}$, recorded with the Collider Detector at Fermilab 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 semileptonic decay of a charm hadron to extract the $Wc$ signal. We measure ${\ensuremath{\sigma}}_{Wc}({p}_{Tc}>20\text{ }\text{ }\mathrm{GeV}/c,|{\ensuremath{\eta}}_{c}|<1.5)\ifmmode\times\else\texttimes\fi{}\mathrm{BR}(W\ensuremath{\rightarrow}\ensuremath{\ell}\ensuremath{\nu})=9.8\ifmmode\pm\else\textpm\fi{}3.2\text{ }\text{ }\mathrm{pb}$, in agreement with theoretical expectations.

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