Year: 2026
Type: preprint
Abstract: Heavy quark effective theory (HQET) permits seven $P$-wave states in each of the $Σ_c$, $Ξ_c^\prime$, and $Ω_c$ flavor-sextet sectors, yet the experimentally visible spectra differ strikingly among the three sectors. We show that strong decays, kinematic thresholds, and configuration mixing act as a dynamical filter between the underlying multiplet structure and the observed resonance spectrum. Using QCD sum rules for the masses and light-cone sum rules for the strong decays, we find that only four $Σ_c$, four $Ξ_c^\prime$, and five $Ω_c$ states are sufficiently narrow to contribute to experimentally identifiable resonance structures. The four narrow $Ξ_c$ states, $Ξ_c(2882)$, $Ξ_c(2923)$, $Ξ_c(2939)$, and $Ξ_c(2965)$, and the four narrow $Ω_c$ states, $Ω_c(3000)$, $Ω_c(3050)$, $Ω_c(3066)$, and $Ω_c(3090)$, exhibit similar mass-splitting patterns and provide spectroscopic anchors for a common $λ$-mode multiplet structure, supporting the successive assignments $J^P=1/2^-,3/2^-,3/2^-$, and $5/2^-$. We tentatively interpret $Ω_c(3119)$ as a predominantly $ρ$-mode state with $J^P=3/2^-$. With this multiplet structure constrained by the $Ξ_c$ and $Ω_c$ spectra, we predict four relatively resolvable $P$-wave $Σ_c$ states that may overlap within the observed $Σ_c(2800)$ and $Σ_c(2900)$ structures, providing concrete targets for future amplitude analyses.
Source: arXiv (Cornell University)
Institutions: Southeast University, Henan Normal University
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Awards: G7162927461, G7452539093
OpenAlex ID: W7169874050