${\Xi }_c-{\Xi }_c^{\prime }$ mixing From Lattice QCD

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 ${\Xi }_c^{\prime }$ 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 ${\Xi }_c$-${\Xi }_c^{\prime }$ mixing by calculating the two-point correlation functions of the ${\Xi }_c$ and ${\Xi }_c^{\prime }$ baryons from lattice QCD. Based on the lattice data, we adopt two independent methods to determine the mixing angle between ${\Xi }_c$ and ${\Xi }_c^{\prime }$. After making the chiral and continuum extrapolation, it is found that the mixing angle $\theta$ is $1.2^{\circ }\pm 0.1^{\circ }$, which seems insufficient to account for the large SU(3) symmetry breaking effects found in weak decays of charmed baryons.

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Cited by in corpus (9)

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• First lattice QCD calculation of $J/\psi$ semileptonic decay containing $D$ and $D_s$ particles
• ${\Xi }_c\to \Xi$ form factors from lattice QCD with domain-wall quarks: A new piece in the puzzle of ${\Xi }_c^0$ decay rates
• Baryonic heavy-to-light form factors induced by tensor current in light-front approach
• Lattice QCD study of ${\Lambda }_c{\Lambda }_c$ scattering
• Revisiting heavy-flavor conserving weak decays of charmed baryons within the nonrelativistic quark model
• The nonleptonic decays ${\Xi }_{cc}^{++}\to {\Xi }_c^{(\prime )+}{\pi }^{+}$ within the nonrelativistic quark model
• Low-energy $DD$ scattering in lattice QCD