Importance of local tetraquark operators for $T_{cc}(3875)^+$
Humboldt-Universität zu Berlin（柏林洪堡大学）
Andres Stump, Jeremy R. Green
备注：
10 pages, 3 figures, talk presented at the 42nd International Symposium on Lattice Field Theory (LATTICE2025), 2-8 November 2025, Tata Institute of Fundamental Research, Mumbai, India
The doubly charmed tetraquark $T_{cc}(3875)^+$ observed at LHCb has attracted considerable interest in recent years. To accurately determine its finite-volume spectrum, a variational analysis using a large basis of operators, including bilocal scattering operators, but also local tetraquark operators, should be employed. Using Wilson-clover fermions at the $SU(3)$-flavour-symmetric point, we investigated the importance of local tetraquark operators for the $T_{cc}$ spectrum by adding them to a large basis of bilocal $DD^*$ and $D^*D^*$ scattering operators. We performed this calculation using the distillation framework combined with a position-space sampling method that we recently developed. This method makes local tetraquark operators affordable in distillation. Upon including local tetraquark operators, we observe significant shifts in the estimates of several energy levels. Finally, we show the effect of these shifts on the $DD^*$ scattering phase shifts obtained from a single-channel $s$-wave Lüscher analysis.
Investigating the role of tetraquark operators in lattice QCD studies of the $a_0(980)$ and $κ$ resonances
Kent State University（肯特州立大学）；Carnegie Mellon University（卡内基梅隆大学）；Ruhr-Universität Bochum（波鸿鲁尔大学）；University of Bern（伯尔尼大学）；Lawrence Berkeley National Laboratory（劳伦斯伯克利国家实验室）
Position-space sampling for local multiquark operators in lattice QCD using distillation and the importance of tetraquark operators for $T_{cc}(3875)^+$
Humboldt-Universität zu Berlin（柏林洪堡大学）；Deutsches Elektronen-Synchrotron DESY（德国电子同步加速器）
Comparing meson-meson and diquark-antidiquark creation operators for a $\bar b \bar b u d$ tetraquark
通过考虑介子-介子和双夸克-反双夸克产生算符，我们比较了两种经常讨论的量子数为$I(J^P) = 0(1^+)$的稳定$\bar b \bar b u d$四夸克态的竞争结构。我们把重反夸克看作静态的固定位置，发现$\bar b \bar b$分离$r < 0.2 \, \text{fm}$的双夸克-反双夸克占优势，而对于$r > 0.5 \, \text{fm}$，系统本质上对应于一对$B$介子。对于四夸克态的介子-介子与双夸克-反双夸克之比，我们得到了大约$58\%/42\%$。
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
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。
$\bar b \bar b u d$ and $\bar b \bar b u s$ tetraquarks from lattice QCD using symmetric correlation matrices with both local and scattering interpolating operators
The Institute of Mathematical Sciences（马哈拉施特拉数学科学研究所）；Maryland Center for Theoretical Physics, University of Maryland（马里兰理论物理中心，马里兰大学）；Department of Physics, University of Cyprus（塞浦路斯大学物理系）；National Institute of Science Education and Research（国家科学教育与研究中心）；Homi Bhabha National Institute（霍米·巴巴国立研究所）
Lattice QCD studies of the $Δ$ baryon resonance and the $K_0^\ast(700)$ and $a_0(980)$ meson resonances: the role of exotic operators in determining the finite-volume spectrum
