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arXiv · 2303.17865

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

Hang Liu·Liuming Liu·Peng Sun·Wei Sun·Jin-Xin Tan·Wei Wang·Yi-Bo Yang·Qi-An Zhang
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Abstract

In heavy quark limit, the lowest-lying charmed baryons with two light quarks can 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 to the finite charm quark mass and the fact the strange quark is heavier than the up/down quark. We explore the $\Xi_c$-$\Xi_c'$ mixing by calculating the two-point correlation functions of the $\Xi_c$ and $\Xi_c'$ baryons from lattice QCD. Based on the lattice data, we adopt two independent methods to determine the mixing angle between $\Xi_c$ and $\Xi_c'$. After making the chiral and continuum extrapolation, it is found that the mixing angle $\theta$ is $1.2^{\circ}\pm0.1^{\circ}$, which seems insufficient to account for the large SU(3) symmetry breaking effects found in weak decays of charmed baryons.

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Hang Liu, Liuming Liu, Peng Sun, Wei Sun, Jin-Xin Tan, Wei Wang, Yi-Bo Yang, Qi-An Zhang. 2023-03-31. $\Xi_c-\Xi_c^{\prime}$ mixing From Lattice QCD. https://doi.org/10.1016/j.physletb.2023.137941

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