SUPA, School of Physics and Astronomy, University of Glasgow, Glasgow, G12 8QQ, United Kingdom.
Phys Rev Lett. 2012 Mar 9;108(10):102003. doi: 10.1103/PhysRevLett.108.102003. Epub 2012 Mar 8.
We calculate the full spectrum of D-wave states in the Υ system in lattice QCD for the first time, by using an improved version of nonrelativistic QCD on coarse and fine "second-generation" gluon field configurations from the MILC Collaboration that include the effect of up, down, strange, and charm quarks in the sea. By taking the 2S-1S splitting to set the lattice spacing, we determine the (3)D2-1S splitting to 2.3% and find agreement with experiment. Our prediction of the fine structure relative to the (3)D2 gives the (3)D3 at 10.181(5) GeV and the (3)D1 at 10.147(6) GeV. We also discuss the overlap of (3)D1 operators with (3)S1 states.
我们首次在格点 QCD 中计算了 Υ 系统中的 D 波态的完整谱，使用了来自 MILC 合作组织的改进的非相对论 QCD 方法，该方法在粗和细的“第二代”胶子场构型上进行，包括海相中上夸克、下夸克、奇异夸克和魅夸克的影响。通过取 2S-1S 分裂来设置格点间距，我们确定了 (3)D2-1S 的分裂值为 2.3%，并与实验结果一致。我们对精细结构相对于 (3)D2 的预测给出了 (3)D3 在 10.181(5)GeV 和 (3)D1 在 10.147(6)GeV。我们还讨论了 (3)D1 算符与 (3)S1 态的重叠。
