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Rare decay modes , $J/\psi \to D^{-} \pi^{+} + c.c.J/\psi \to \bar D^{0} \bar K^{0} + c.c.$ are searched for using 5.77 events collected with the BESII detector at the BEPC. No signal above background is observed. We present upper limits on the branching fractions 1.4, , and 1.7 at the 90% confidence level.

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