arXiv 2006.008562020-06hep-lathep-exhep-phnucl-exnucl-th

格点量子色动力学中的$d^\ast (2380)$重子

$d^\ast (2380)$ dibaryon from lattice QCD

Shinya Gongyo, Kenji Sasaki, Takaya Miyamoto, Sinya Aoki, Takumi Doi, Tetsuo Hatsuda, Yoichi Ikeda, Takashi Inoue, Noriyoshi Ishii

备注：: 8 pages, 6 figures
发表信息：: Physics Letters B, 811, 135935 (2020)
DOI：: 10.1016/j.physletb.2020.135935

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摘要：

在重π介子质量（$m_π=679, 841$和$1018$ MeV）的三味格点量子色动力学模拟的基础上，对$ΔΔ$重子共振$d^\ast (2380)$与$(J^P, I)=(3^+, 0)$进行了理论研究.利用HAL QCD方法，由晶格间距为$a\simeq 0.121$ fm，晶格尺寸为$L\simeq 3.87$ fm的晶格数据，得到了${}^7S_3$通道中的中心$Δ$-$Δ$势.由此产生的潜在的表现出很强的短程吸引力，从而形成一个准束缚态对应于$d^\ast (2380)$的结合能$25$ - $40$ MeV低于$ΔΔ$阈值的重介子质量。提取了从$ΔΔ$到$NN$跃迁势的张量部分，研究了含$J^P=3^+$的$S$波$ΔΔ$系统与含$D$波$NN$系统之间的耦合强度.虽然在短距离的过渡势是强的，在$D$波中的$d^\ast (2380)$到$NN$的衰减宽度被运动学抑制，这证明了我们在本研究中探索的π介子质量范围内的单通道分析是合理的。

英文摘要：

The $ΔΔ$ dibaryon resonance $d^\ast (2380)$ with $(J^P, I)=(3^+, 0)$ is studied theoretically on the basis of the 3-flavor lattice QCD simulation with heavy pion masses ($m_π=679, 841$ and $1018$ MeV). By using the HAL QCD method, the central $Δ$-$Δ$ potential in the ${}^7S_3$ channel is obtained from the lattice data with the lattice spacing $a\simeq 0.121$ fm and the lattice size $L\simeq 3.87$ fm. The resultant potential shows a strong short-range attraction, so that a quasi-bound state corresponding to $d^\ast (2380)$ is formed with the binding energy $25$-$40$ MeV below the $ΔΔ$ threshold for the heavy pion masses. The tensor part of the transition potential from $ΔΔ$ to $NN$ is also extracted to investigate the coupling strength between the $S$-wave $ΔΔ$ system with $J^P=3^+$ and the $D$-wave $NN$ system. Although the transition potential is strong at short distances, the decay width of $d^\ast (2380)$ to $NN$ in the $D$-wave is kinematically suppressed, which justifies our single-channel analysis at the range of the pion mass explored in this study.

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