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In this work, the full leading order results of the form factors for$\Xi_{b}\to\Xi_{c}$ and $\Lambda_{b}\to\Lambda_{c}$ are obtained in QCD sumrules. Contributions from up to dim-5 have been considered. For completeness,we also study the two-point correlation function to obtain the pole residues of$\Xi_{Q}$ and $\Lambda_{Q}$, and higher accuracy is achieved. For thethree-point correlation function, since stable Borel regions can not be found,about $20\%$ uncertainties are introduced for the form factors of$\Xi_{b}\to\Xi_{c}$ and $\Lambda_{b}\to\Lambda_{c}$. Our results for the formfactors are consistent with those of the Lattice QCD within errors.

The semi-leptonic form factors of $\Lambda_{b}\to\Lambda_{c}$ and $\Xi_{b}\to\Xi_{c}$ in QCD sum rules