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

TL;DR

This paper calculates the quantum electrodynamics (QED) corrections to the mixing between $\\Xi_c$ and $\\Xi_c'$ baryons using a light-front quark model, finding that QED effects are smaller than quark mass differences and do not explain large symmetry breaking in decays.

Contribution

It provides a detailed calculation of QED contributions to $\\Xi_c-\\Xi_c'$ mixing within the light-front quark model, incorporating flavor SU(3) and heavy quark symmetry breaking effects.

Findings

QED contribution is smaller than quark mass difference effects.

QED effects are insufficient to explain large SU(3) symmetry breaking.

The mixing remains small and does not account for observed decay asymmetries.

Abstract

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