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arXiv · 2309.16386

QED contributions to the $Ξ_c-Ξ_c'$ mixing

Zhi-Fu Deng·Yu-Ji Shi·Wei Wang·Jun Zeng
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Abstract

We explore the QED corrections to the $Ξ_c-Ξ_c^{\prime}$ mixing within the framework of light-front quark model (LFQM) in the three-quark picture. After explicitly investigating the relation between the $Ξ_c-Ξ_c^{\prime}$ mixing and the flavor $\rm {SU(3)}$ and heavy quark symmetry breaking, we derive the QED contributions to the mixing angle. Numerical results indicate the QED contribution is smaller than the one from the mass difference between the strange and up/down quark provided by a recent Lattice QCD analysis. Adding these contributions together we find that at this stage the $Ξ_c-Ξ_c^{\prime}$ mixing is small and still incapable to account for the large $\rm {SU(3)}$ symmetry breaking in the semi-leptonic $Ξ_c$ decays.

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Zhi-Fu Deng, Yu-Ji Shi, Wei Wang, Jun Zeng. 2023-09-28. QED contributions to the $Ξ_c-Ξ_c'$ mixing. https://arxiv.org/abs/2309.16386

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