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In heavy quark limit, the lowest-lying charmed baryons with two light quarkscan form an SU(3) triplet and sextet. The $\Xi_c$ in the SU(3) triplet and$\Xi_c'$ in the sextet have the same $J^{PC}$ quantum number and can mix due tothe finite charm quark mass and the fact the strange quark is heavier than theup/down quark. We explore the $\Xi_c$-$\Xi_c'$ mixing by calculating thetwo-point correlation functions of the $\Xi_c$ and $\Xi_c'$ baryons fromlattice QCD. Based on the lattice data, we adopt two independent methods todetermine the mixing angle between $\Xi_c$ and $\Xi_c'$. After making thechiral and continuum extrapolation, it is found that the mixing angle $\theta$is $1.2^{\circ}\pm0.1^{\circ}$, which seems insufficient to account for thelarge SU(3) symmetry breaking effects found in weak decays of charmed baryons.

$\Xi_c-\Xi_c^{\prime}$ mixing From Lattice QCD