English

QED contributions to the $\Xi_c-\Xi_c'$ mixing

High Energy Physics - Phenomenology 2023-09-29 v1

Abstract

We explore the QED corrections to the ΞcΞc\Xi_c-\Xi_c^{\prime} mixing within the framework of light-front quark model (LFQM) in the three-quark picture. After explicitly investigating the relation between the ΞcΞc\Xi_c-\Xi_c^{\prime} mixing and the flavor SU(3)\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 ΞcΞc\Xi_c-\Xi_c^{\prime} mixing is small and still incapable to account for the large SU(3)\rm {SU(3)} symmetry breaking in the semi-leptonic Ξc\Xi_c decays.

Keywords

Cite

@article{arxiv.2309.16386,
  title  = {QED contributions to the $\Xi_c-\Xi_c'$ mixing},
  author = {Zhi-Fu Deng and Yu-Ji Shi and Wei Wang and Jun Zeng},
  journal= {arXiv preprint arXiv:2309.16386},
  year   = {2023}
}

Comments

7 pages, 4figures