We study the charmful decays of the two-body decays, where represents the anti-triplet of , stands for the baryon octet and denotes as the charmed meson of , and . Explicitly, we predict that ${\cal B}(\Lambda_b\to D_s^- p)=(1.8\pm 0.3)\times 10^{-5}{\cal B}(\Lambda_b\to D_s^- p)<4.8(5.3)\times 10^{-4}{\cal B}(\Lambda_b\to J/\psi \Lambda)=(3.3\pm 2.0)\times 10^{-4}{\cal B}(\Xi_b^-\to J/\psi \Xi^-)=(5.1\pm 3.2)\times 10^{-4}$ in agreement with the data. Moreover, we find that ${\cal B}(\Lambda_b \to \Lambda \eta_c)=(1.5 \pm 0.9) \times 10^{-4}{\cal B}(\Xi_b^-\to\Xi^-\eta_c)=(2.4\pm1.5) \times 10^{-4}{\cal B}(\Xi_b^0\to\Xi^0\eta_c,\Xi^0 J/\psi)=(2.3\pm1.4,4.9\pm3.0)\times 10^{-4}$, which are accessible to the experiments at the LHCb.

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