Potential description of charmonium and charmed-strange mesons from lattice QCD
Potential description of charmonium and charmed-strange mesons from lattice QCD
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DOI：
10.1103/physrevd.92.094503
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发表时间：
2015-08
影响因子：
5
通讯作者：
T. Kawanai;S. Sasaki
中科院分区：
文献类型：
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作者：
T. Kawanai;S. Sasaki
我们提出了粲介子和粲奇介子的自旋无关和自旋-自旋间夸克势，这些势是在 2+1 风味晶格 QCD 模拟中计算的，使用在最轻的 π 介子质量 (Mπ≈156(7) MeV) 下生成的 PACS-CS 规范配置，晶格截止为 a-1≈2.2 GeV，空间体积为 (3 fm)3。对于粲夸克，我们使用相对论重夸克 (RHQ) 作用和微调的 RHQ 参数，它可以精确地再现 1S 粲夸克的实验自旋平均质量和超精细分裂。夸克间势和夸克动质量是重-重和重-轻介子势描述中的关键成分，由等时 Bethe-Salpeter (BS) 振幅确定。查莫尼姆势是从 1S 查莫尼亚介子（ηc 和 J/ψ 介子）的 BS 波函数获得的，而查莫尼姆势是从 Ds 和 Ds* 重轻介子计算的。然后，我们使用由此产生的势和夸克质量作为纯粹的理论输入，以求解非相对论薛定谔方程，以在没有未知参数的情况下计算粲介子和粲介子的可达能级。低于 DD 和 DK 阈值的所得光谱与既定的实验数据非常吻合。
We present spin-independent and spin-spin interquark potentials for the charmonium and charmed-strange mesons, which are calculated in 2+1 flavor lattice QCD simulations using the PACS-CS gauge configurations generated at the lightest pion mass (Mπ≈156(7) MeV) with a lattice cutoff of a-1≈2.2 GeV and a spatial volume of (3 fm)3. For the charm quark, we use a relativistic heavy quark (RHQ) action with fine tuned RHQ parameters, which closely reproduce both the experimental spin-averaged mass and hyperfine splitting of the 1S charmonium. The interquark potential and the quark kinetic mass, both of which are key ingredients within the potential description of heavy-heavy and heavy-light mesons, are determined from the equal-time Bethe-Salpeter (BS) amplitude. The charmonium potentials are obtained from the BS wave function of 1S charmonia (ηc and J/ψ mesons), while the charmed-strange potential are calculated from the Ds and Ds* heavy-light mesons. We then use resulting potentials and quark masses as purely theoretical inputs so as to solve the nonrelativistic Schrodinger equation for calculating accessible energy levels of charmonium and charmed-strange mesons without unknown parameters. The resultant spectra below the DD¯ and DK thresholds excellently agree with well-established experimental data.