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arXiv 2210.09281hep-lathep-ph
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基于关联函数的反重-反重-轻-轻四夸克态的格点量子色动力学研究

Lattice QCD study of antiheavy-antiheavy-light-light tetraquarks based on correlation functions with scattering interpolating operators both at the source and at the sink

Marc Wagner, Constantia Alexandrou, Jacob Finkenrath, Theodoros Leontiou, Stefan Meinel, Martin Pflaumer

摘要:

我们提出了最近开始的格点量子色动力学研究的反重-反重-轻-轻四夸克系统的第一个结果,包括散射插值算子的关联函数在源和在汇。特别是,我们讨论了这样的散射插值算子的重要性,精确计算的低能级。我们研究了量子数为$I(J^P) = 0(1^+)$的$\bar b \bar b u d$四夸克系统,该系统的基态低于最低的介子-介子阈值。我们利用Lüscher方法进行散射分析,将相应的QCD稳定四夸克态的结合能外推到无限大的空间体积。我们的计算使用三叶草$u$,$d$价夸克和NRQCD $b$价夸克与HISQ海夸克,由MILC合作产生的规范链接合奏。

英文摘要:

We present first results of a recently started lattice QCD investigation of antiheavy-antiheavy-light-light tetraquark systems including scattering interpolating operators in correlation functions both at the source and at the sink. In particular, we discuss the importance of such scattering interpolating operators for a precise computation of the low-lying energy levels. We focus on the $\bar b \bar b u d$ four-quark system with quantum numbers $I(J^P) = 0(1^+)$, which has a ground state below the lowest meson-meson threshold. We carry out a scattering analysis using Lüscher's method to extrapolate the binding energy of the corresponding QCD-stable tetraquark to infinite spatial volume. Our calculation uses clover $u$, $d$ valence quarks and NRQCD $b$ valence quarks on gauge-link ensembles with HISQ sea quarks that were generated by the MILC collaboration.

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