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We present a search for direct CP violation in $B^{\pm} \to J/\psi K^{\pm}(\pi^{\pm})^{-1}p\bar{p}$ collisions recorded by D0 experiment in Run II of the Fermilab Tevatron Collider. The charge asymmetry $A_{CP}(B^+ \to J/\psi K^+) = +0.0075 \pm 0.0061\pm 0.0027$(syst.) is obtained using a sample of approximately 40 thousand decays. The achieved precision is of the same level as the expected deviation predicted by some extensions of the standard model. We also measured the charge asymmetry (stat.)(syst.).

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