Isospin and flavor SU(3) symmetry breaking in doubly heavy baryons
Abstract
The recent observations of the Ξcc+ and the Ωcc+ by the LHCb Collaboration complete the ground-state triplet of doubly charmed baryons, so that its internal mass pattern can be used to test symmetry breaking in the light-quark sector. We study the doubly heavy baryons within the pion mean-field approach, regarding them as bound states of the Nc−2 valence light quarks that generate the pion mean field in the presence of a compact heavy diquark. All dynamical parameters for flavor SU(3) and isospin symmetry breaking were determined in the light and singly heavy baryon sectors, and the hyperfine coupling is fixed by the singly heavy spectrum. With the heavy-quark masses taken from the PDG values, the measured Ξcc++ mass is used only to determine the collective rotational energy of the light subsystem, so that the mass splittings within the triplet are predictions. We obtain MΞcc+=(3620.17±13.08) MeV and MΩcc+=(3746.62±13.22) MeV. The predicted isospin splitting, MΞcc++−MΞcc+=(1.43±0.38) MeV, is consistent with the LHCb observation of the Ξcc+. We also present the masses of the spin-3/2 doubly charmed states and the doubly bottom spectrum.
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BibTeX
@misc{yang2026isospin,
title = {{Isospin and flavor SU(3) symmetry breaking in doubly heavy baryons}},
author = {Ghil-Seok Yang and June-Young Kim and Hyun-Chul Kim},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.19037},
eprint = {2609.19037},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.19037},
}
RIS
TY - UNPB
TI - Isospin and flavor SU(3) symmetry breaking in doubly heavy baryons
AU - Ghil-Seok Yang
AU - June-Young Kim
AU - Hyun-Chul Kim
PY - 2026
DA - 2026/09/01
PB - arXiv
DO - 10.48550/arxiv.2609.19037
UR - https://arxiv.org/abs/2609.19037
AB - The recent observations of the Ξ_cc^+ and the Ω_cc^+ by the LHCb Collaboration complete the ground-state triplet of doubly charmed baryons, so that its internal mass pattern can be used to test symmetry breaking in the light-quark sector. We study the doubly heavy baryons within the pion mean-field approach, regarding them as bound states of the N_c−2 valence light quarks that generate the pion mean field in the presence of a compact heavy diquark. All dynamical parameters for flavor SU(3) and isospin symmetry breaking were determined in the light and singly heavy baryon sectors, and the hyperfine coupling is fixed by the singly heavy spectrum. With the heavy-quark masses taken from the PDG values, the measured Ξ_cc^++ mass is used only to determine the collective rotational energy of the light subsystem, so that the mass splittings within the triplet are predictions. We obtain M_Ξ_cc^+=(3620.17±13.08) MeV and M_Ω_cc^+=(3746.62±13.22) MeV. The predicted isospin splitting, M_Ξ_cc^++−M_Ξ_cc^+=(1.43±0.38) MeV, is consistent with the LHCb observation of the Ξ_cc^+. We also present the masses of the spin-3/2 doubly charmed states and the doubly bottom spectrum.
ER -