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QCD求和规则对P波味六重重重子的统一谱学研究

Unified spectroscopy of $P$-wave flavor-sextet heavy baryons from QCD sum rules

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

arXiv 2608.18920首次发表:更新:

AI 中文总结

本研究用QCD求和规则分析P波味六重重重子,解释了已观测的粲、底重子结构,还预测了5个待实验确认的窄P波重子态

AI 中文摘要

我们在重夸克有效理论框架内研究P波味六重粲重子和底重子。近期发现的Ψ_c(2882)^0为研究提供了关键动机,它与Ξ_c(2923)^0、Ξ_c(2939)^0、Ξ_c(2965)^0共同构成了四个窄Ξ_c结构,其特征质量分裂模式与Ω_c(3000)^0、Ω_c(3050)^0、Ω_c(3066)^0、Ω_c(3090)^0态的模式高度相似,为它们的谱学归属提供了强约束。我们对Σ_Q、Ξ_Q'、Ω_Q(Q=c、b)各 sector 中的7个P波态进行分类,利用QCD求和规则计算它们的质量和 doublet 内质量分裂,用光锥求和规则研究它们的强衰变,还探讨了相同量子数态间的组态混合。综合分析支持将四个窄Ξ_c和四个最低窄Ω_c结构统一解释为对应的λ模式激发。将同一框架扩展到底 sector,我们对已观测到的Σ_b、Ξ_b、Ω_b结构得到了一致的图像:Σ_b(6097)、Ξ_b(6227)、Ω_b(6350)结构可能各包含一对未分辨的近邻P波态;我们还预测了2个额外的Σ_b态、2个额外的Ξ_b'态和1个额外的Ω_b态,这些态预计均较窄,有待实验确认。

英文摘要

We investigate the $P$-wave flavor-sextet charmed and bottom baryons within heavy quark effective theory. A key motivation is provided by the recent evidence for the $Ξ_c(2882)^0$, which completes a sequence of four narrow $Ξ_c$ structures together with the $Ξ_c(2923)^0$, $Ξ_c(2939)^0$, and $Ξ_c(2965)^0$. Their characteristic mass-splitting pattern closely parallels that of the $Ω_c(3000)^0$, $Ω_c(3050)^0$, $Ω_c(3066)^0$, and $Ω_c(3090)^0$ states, providing strong constraints on their spectroscopic assignments. We classify the seven $P$-wave states in each of the $Σ_Q$, $Ξ_Q^\prime$, and $Ω_Q$ sectors ($Q=c,b$), calculate their masses and intra-doublet mass splittings using QCD sum rules, and study their strong decays using light-cone sum rules. Configuration mixing between states with the same quantum numbers is also investigated. The combined analysis favors a common interpretation of the four narrow $Ξ_c$ and the four lowest narrow $Ω_c$ structures in terms of the corresponding $λ$-mode excitations. Extending the same framework to the bottom sector, we obtain a coherent picture of the observed $Σ_b$, $Ξ_b$, and $Ω_b$ structures. In particular, the $Σ_b(6097)$, $Ξ_b(6227)$, and $Ω_b(6350)$ structures may each contain an unresolved pair of nearby $P$-wave states. We also predict two additional $Σ_b$ states, two additional $Ξ_b^\prime$ states, and one additional $Ω_b$ state, all of which are expected to be relatively narrow and remain to be identified experimentally.

Comments19 pages, 1 figure, 3 tables, suggestions and comments are welcome

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