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arXiv · 2607.17923

Quantum numbers of excited $Ξ_c^\prime$ and $Ω_c$ baryons and the $P$-wave $Σ_c$ spectrum

Xuan Luo·Shu-Wei Zhang·Hua-Xing Chen·Hui-Min Yang
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Abstract

Recent precision measurements of excited heavy baryons, combined with systematic theoretical studies, make it possible to resolve the fine structure of their spectra. We calculate the masses and strong-decay properties of the $P$-wave charmed baryons using QCD sum rules and light-cone sum rules within heavy quark effective theory (HQET). Although seven states are allowed in each flavor sector, we find that only four $Σ_c$, four $Ξ_c^\prime$, and five $Ω_c$ states are expected to be experimentally resolvable. The similar mass-splitting patterns of $Ξ_c(2882)$, $Ξ_c(2923)$, $Ξ_c(2939)$, and $Ξ_c(2965)$ and of $Ω_c(3000)$, $Ω_c(3050)$, $Ω_c(3066)$, and $Ω_c(3090)$, together with our theoretical results, lead to the successive quantum-number assignments $J^P=1/2^-,3/2^-,3/2^-$, and $5/2^-$. We tentatively interpret $Ω_c(3119)$ as a predominantly $ρ$-mode excitation with $J^P=3/2^-$. We also predict the masses, widths, and dominant decay modes of four resolvable $P$-wave $Σ_c$ states, which may overlap within the observed $Σ_c(2800)$ and $Σ_c(2900)$ structures. Precision spectroscopy of the narrow $Ξ_c$ and $Ω_c$ states thus provides a route to resolving the $P$-wave $Σ_c$ spectrum.

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Xuan Luo, Shu-Wei Zhang, Hua-Xing Chen, Hui-Min Yang. 2026-09-03. Quantum numbers of excited $Ξ_c^\prime$ and $Ω_c$ baryons and the $P$-wave $Σ_c$ spectrum. https://arxiv.org/abs/2607.17923

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