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The asymmetry in the forward region production cross section of $D^{\pm}$ iscalculated using the heavy quark recombination mechanism for $pp$ collisions at$7$~TeV. By suitable choices of four nonperturbative parameters, our calculatedresults can reproduce those obtained at LHCb. We find $A_p\sim-1\%$ whenintegrated over $2.0\textrm{ GeV}<p_T<18\textrm{ GeV}$ and $2.2<\eta<4.75$,which agrees with $A_p=-0.96\pm0.26\pm0.18\%$ as measured by LHCb. Furthermore,the calculated distributions in $\eta$ and $p_T$ agree reasonably well withthose obtained at LHCb. Using the heavy quark recombination mechanism, we alsomake predictions on the production asymmetries of $\Lambda_c^{+}/\Lambda_c^{-}$and $\Lambda_b^0/\overline{\Lambda}_b^0$ for $pp$ collisions at $7$~TeV and$14$~TeV in the forward region. We find that the integrated asymmetries forthese $\Lambda$ baryons in the LHCb region are of the order of $\sim1-3\%$ andshould be measurable.

Production asymmetries of $D^{\pm}$, $\Lambda_c^{+}/\Lambda_c^{-}$ and  $\Lambda_b^0/\overline{\Lambda}_b^0$ at the LHC from heavy quark  recombination mechanism