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$Ω_{ccc}Ω_{ccc}$ 和 $Ω_{bbb}Ω_{bbb}$ 双重子态的 QCD 求和规则研究

Study of the $Ω_{ccc}Ω_{ccc}$ and $Ω_{bbb}Ω_{bbb}$ dibaryons in QCD Sum Rules

School of Physics, Sun Yat-sen University(中山大学物理学院);School of Physical Sciences, University of Chinese Academy of Sciences(中国科学院大学物理科学学院);Southern Center for Nuclear-Science Theory (SCNT), Institute of Modern Physics, Chinese Academy of Sciences(中国科学院近代物理研究所南方核科学理论中心)

Xu-Liang Chen, Jin-Peng Zhang, Zi-Xi Ou-Yang, Wei Chen, Jia-Jun Wu

AI总结:

利用 QCD 求和规则研究全重双重子态 $\Omega_{ccc}\Omega_{ccc}$ 和 $\Omega_{bbb}\Omega_{bbb}$ 在 $^1S_0$ 和 $^5S_2$ 道的质量,发现标量态低于张量态,底系统可能形成束缚态。

摘要:

LHCb、ATLAS 和 CMS 合作组最近观测到一系列全粲四夸克态,暗示了全重双重子态可能存在的可能性。本文利用 QCD 求和规则方法,研究了 $^1S_0$ 和 $^5S_2$ 道中的 $\Omega_{ccc}\Omega_{ccc}$ 和 $\Omega_{bbb}\Omega_{bbb}$ 双重子态。我们采用迭代色散关系(IDR)方法高效计算这些系统中出现的五圈香蕉图,并妥善处理了非微扰项中棘手的小圆发散问题。我们的分析表明,对于粲和底系统,标量双重子态的质量均低于其张量对应态。在 $\overline{\text{MS}}$ 方案中,标量 $\Omega_{ccc}\Omega_{ccc}$ 双重子态的质量略高于 $2\Omega_{ccc}$ 质量阈值,而 $\Omega_{bbb}\Omega_{bbb}$ 系统可能形成束缚态。然而,在壳方案中,它们被预测为更重。

英文摘要:

The recent observation of a family of fully-charm tetraquark states by the LHCb, ATLAS and CMS Collaborations suggests the possible existence of fully-heavy dibaryons. In this work, we investigate the $Ω_{ccc}Ω_{ccc}$ and $Ω_{bbb}Ω_{bbb}$ dibaryons in both the $^1S_0$ and $^5S_2$ channels using the method of QCD sum rules. We employ the iterative dispersion relation (IDR) method to efficiently compute the massive five-loop banana diagrams that appear in these systems, and properly address the tricky small-circle divergence problem in the nonperturbative terms. Our analyses reveal that for both charm and bottom systems, the scalar dibaryon lies lower than its tensor counterpart. In $\overline{\text{MS}}$ scheme, the mass of the scalar $Ω_{ccc}Ω_{ccc}$ dibaryon is found to be slightly above the $2Ω_{ccc}$ mass threshold, while the $Ω_{bbb}Ω_{bbb}$ systems may form bound states. However, they are predicted to be much heavier in the on-shell scheme.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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