Probing strange quark in proton using $p\bar{p}\rightarrow Wc$ at D$\O$}

I will describe a measurement of s-quark parton distribution function(PDF) using the D$\O$ detector at Fermilab Tevatron. As s-quark PDF has only been measured in $\nu$N deep inelastic scattering, it is important to know if the same PDF works in $p\bar{p}$ inelastic experiments at $\sqrt{s}=1.96$TeV. Importance of the measurement of s-quark PDF also arises in the tests of QCD and EW dynamics and the background measurements of the New Physics processes(e.g $\tilde{t} \rightarrow c \tilde{\chi^o}$). To measure s-quark PDF I chose to study $ W + c $ production in $p\bar{p}$ collisions via the parton level processes $sg\rightarrow W^-c$ , $\bar{s}g\rightarrow W^+ \bar{c}$, $dg\rightarrow W^-c$ or $g\bar{d}\rightarrow W^+\bar{c}$, where $d$-quark and gluon fusion contribute about 15$\%$ of the total $Wc$ production rate. The ratio of $W+c$ cross section to the inclusive $W+1j$, is of the order of $10^{-2}$ - dependent on the Pt of the jet. A study of the sensitivity of this ratio to the parametrization of the s-quark PDF may eventually allow us to determine a precise distribution function. Current status of analysis is the studies of charm tagging efficiencies in MC, the event selection efficiencies and signal to background ratios.