Lattice quantum chromodynamics (QCD) studies on decuplet baryons as meson-baryon bound states in the HAL QCD method
Lattice quantum chromodynamics (QCD) studies on decuplet baryons as meson-baryon bound states in the HAL QCD method
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HAL QCD 方法中作为介子-重子束缚态的十重重子的晶格量子色动力学 (QCD) 研究
DOI：
10.1093/ptep/ptad044
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发表时间：
2023
影响因子：
3.5
通讯作者：
Kenji Sasaki (HAL QCD Collaboration)
中科院分区：
文献类型：
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作者：
Kotaro Murakami;Yutaro Akahoshi;Sinya Aoki;Takumi Doi;Kenji Sasaki (HAL QCD Collaboration)
本文研究了格点量子色动力学（QCD）中介子-重子相互作用的十重态重子，特别是P波I = 3/2Nπ和I = 0相互作用的Δ和Ω重子.在HAL QCD方法中，用三夸克型源算符atmπ <$410 MeV和mK <$635 MeV计算了相互作用势，其中Δ和Ω重子是稳定的.我们使用传统的全对全传播子的随机估计与全模式平均相结合，以减少统计波动。我们发现，Ω系统的吸引力比N π系统的弱，而从阈值出发的结合能比Δ大。这表明，这种不等式主要来自于由于较大的约化质量而导致的丰度态较小的空间尺寸，而不是其相互作用。两个系统束缚态的均方根距离都很小，表明Δ和Ω是紧束缚态，因此可以定性地认为是三夸克的复合态。结合能的结果同意从大的系统误差，主要是从晶格在短距离的文物从时间两点函数得到的。
We study decuplet baryons from meson–baryon interactions in lattice quantum chromodynamics (QCD), in particular, Δ and Ω baryons from P-waveI= 3/2Nπ andI= 0interactions, respectively. Interaction potentials are calculated in the HAL QCD method using 3-quark-type source operators atmπ≈ 410 MeV andmK≈ 635 MeV, where Δ as well as Ω baryons are stable. We use the conventional stochastic estimate of all-to-all propagators combined with the all-mode averaging to reduce statistical fluctuations. We have found that thesystem has a weaker attraction than theNπ system while the binding energy from the threshold is larger for Ω than Δ. This suggests that an inequalitycomes mainly from a smaller spatial size of abound state due to a larger reduced mass, rather than its interaction. Root-mean-square distances of bound states in both systems are small, indicating that Δ and Ω are tightly bound states and thus can be regarded qualitatively as composite states of three quarks. Results of binding energies agree with those obtained from temporal two-point functions within large systematic errors, which arise dominantly from the lattice artifact at short distances.