$\Xi_c-\Xi_c^{\prime}$ mixing From Lattice QCD
High Energy Physics - Lattice
2023-05-31 v2
Abstract
In heavy quark limit, the lowest-lying charmed baryons with two light quarks can form an SU(3) triplet and sextet. The in the SU(3) triplet and in the sextet have the same 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 - mixing by calculating the two-point correlation functions of the and baryons from lattice QCD. Based on the lattice data, we adopt two independent methods to determine the mixing angle between and . After making the chiral and continuum extrapolation, it is found that the mixing angle is , which seems insufficient to account for the large SU(3) symmetry breaking effects found in weak decays of charmed baryons.
Keywords
Cite
@article{arxiv.2303.17865,
title = {$\Xi_c-\Xi_c^{\prime}$ mixing From Lattice QCD},
author = {Hang Liu and Liuming Liu and Peng Sun and Wei Sun and Jin-Xin Tan and Wei Wang and Yi-Bo Yang and Qi-An Zhang},
journal= {arXiv preprint arXiv:2303.17865},
year = {2023}
}