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研究⁹_ΩBe/⁹_ΩcccBe原子核中ααΩ/Ωccc团簇的三体共振态

Investigating three-body resonances in $ααΩ/Ω_{ccc}$ clusters within the $^{9}_{Ω/Ω_{ccc}}{\mathrm{Be}}$ nucleus

Hao Zhou, Xiang Liu

arXiv 2609.00932首次发表:更新:

发表机构

Lanzhou University; Institute of Modern Physics of CAS(兰州大学; 中国科学院近代物理研究所)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

该研究结合高斯展开法与复标度法,探究⁹_ΩBe和⁹_ΩcccBe的三体共振态,揭示Ω与Ωccc重子类胶子效应差异,为奇特超核谱学提供预测。

AI 中文摘要

我们采用高斯展开法结合复标度法,对对应于⁹_ΩBe和⁹_ΩcccBe的α+α+Ω与α+α+Ωccc三体系统的束缚态与共振态展开研究。αΩ和αΩccc相互作用通过将HAL QCD合作组从格点量子色动力学计算得到的NΩ和NΩccc势,与α粒子的核子密度分布折叠构建而成,同时也分析了α粒子物质半径带来的不确定性。对于Ω重子,强NΩ吸引力在⁹_ΩBe中产生了深束缚的0₁⁺、2₁⁺和4₁⁺态,伴随αα核心的明显收缩,展现出Ω重子极强的类胶子效应,还预测到0₁⁺与4₁⁺能级存在非常规反转。相反,Ωccc重子产生的吸引力弱得多:⁹_ΩcccBe的0₁⁺态为弱束缚态,2₁⁺和4₁⁺态仍为共振态,其共振能量与宽度对αΩccc相互作用强度有明显依赖。这些结果揭示了Ω与Ωccc重子截然不同的类胶子行为,并为奇特多奇异与三粲超核的谱学提供了预测。

英文摘要

We investigate the bound and resonant states of the $α+α+Ω$ and $α+α+Ω_{ccc}$ three-body systems, corresponding to $^{9}_Ω{\mathrm{Be}}$ and $^{9}_{Ω_{ccc}}{\mathrm{Be}}$, within the Gaussian expansion method combined with the complex scaling method. The $αΩ$ and $αΩ_{ccc}$ interactions are constructed by folding the $NΩ$ and $NΩ_{ccc}$ potentials obtained from lattice QCD calculations by the HAL QCD Collaboration with the nucleon density distribution of the $α$ particle. The uncertainty associated with the $α$-particle matter radius is also examined. For the $Ω$ sector, the strong $NΩ$ attraction generates deeply bound $0_1^+$, $2_1^+$, and $4_1^+$ states in $^{9}_Ω{\mathrm{Be}}$, accompanied by a pronounced contraction of the $αα$ core, demonstrating a strong gluelike effect of the $Ω$ baryon. An unconventional inversion between the $0_1^+$ and $4_1^+$ levels is also predicted. In contrast, the $Ω_{ccc}$ baryon produces considerably weaker attraction: the $0_1^+$ state of $^{9}_{Ω_{ccc}}{\mathrm{Be}}$ is weakly bound, whereas the $2_1^+$ and $4_1^+$ states remain resonances. Their resonance energies and widths exhibit a clear dependence on the strength of the $αΩ_{ccc}$ interaction. These results reveal qualitatively different gluelike behaviors of the $Ω$ and $Ω_{ccc}$ baryons and provide predictions for the spectroscopy of exotic multistrange and triply charmed hypernuclei.

Comments13 pages, 6 figures and 3 tables

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