Search forR-Parity Violating Supersymmetry in the Dielectron Channel

We report on a search for $R$-parity-violating supersymmetry in $p\overline{p}$ collisions at $\sqrt{s}=1.8\mathrm{}\mathrm{TeV}$ using the D0 detector at Fermilab. Events with at least two electrons and four or more jets were studied. We observe two events in $99\pm 4.4{\mathrm{pb}}^{-1\mathrm{}}$ of data, consistent with the expected background of $1.8\pm 0.4$ events. This result is interpreted within the framework of minimal low-energy supergravity supersymmetry models. Squarks with mass below $243\mathrm{GeV}/c^2$ and gluinos with mass below $227\mathrm{GeV}/c^2$ are excluded at the $95\%$ C.L. for $A_0=0\mathrm{}$, $\mu <0\mathrm{}$, $\tan \beta =2\mathrm{}$, and a finite value for any one of the six $R$-parity-violating couplings ${\lambda }_{1jk}^{\prime }$ ( $j=1\mathrm{}$, 2 and $k=1\mathrm{}$, 2, 3).