arXiv 1405.44402014-05hep-phhep-lat

格点量子色动力学的介子质量分解

Meson Mass Decomposition from Lattice QCD

Yi-Bo Yang, Ying Chen, Terrence Draper, Ming Gong, Keh-Fei Liu, Zhaofeng Liu, Jian-Ping Ma

备注：: 8 pages, 12 figures, revised version accept to PRD. Typo corrected
发表信息：: Phys. Rev. D 91, 074516 (2015)
DOI：: 10.1103/PhysRevD.91.074516

摘要：

强子质量可以分解为夸克分量和胶分量之和，这些分量通过QCD算符的强子矩阵元来定义。这些分量包括夸克质量项、夸克能量项、胶能项和迹线异常项。我们首次用格点量子色动力学计算了介子的这些分量。计算是用重叠费米子在$2+1$味畴壁费米子规范位形上进行的。我们证实轻介子质量的$\sim 50\%$来自夸克质量项，而$\sim 10\%$来自夸克能量;而对于$ρ$介子，夸克能量贡献了大约一半的质量，但夸克质量项贡献很小.组合的胶组分对两种介子都贡献了$\sim 40 - 50\%$。有趣的是，在低于粲夸克质量的一个大的夸克质量区域内，夸克质量对矢量介子质量的贡献几乎是线性的。对于重介子，夸克质量项占主导地位，而对于重赝标和矢量介子，胶组分的贡献约为$200$ MeV（约为2GeV的裸值）。发现粲偶素超精细分裂主要由夸克能量项控制，这与夸克势模型的描述是一致的。

英文摘要：

Hadron masses can be decomposed as a sum of quark and glue components which are defined through hadronic matrix elements of QCD operators. The components consist of the quark mass term, the quark energy term, the glue energy term, and the trace anomaly term. We calculate these components for mesons with lattice QCD for the first time. The calculation is carried out with overlap fermion on $2+1$ flavor domain-wall fermion gauge configurations. We confirm that $\sim 50\%$ of the light pion mass comes from the quark mass term and $\sim 10\%$ comes from the quark energy; whereas, while for the $ρ$ meson, the quark energy contributes roughly half of its mass but the quark mass term contributes little. The combined glue components contribute $\sim 40 - 50\%$ for both mesons. It is interesting to observe that the quark mass contribution to the mass of the vector meson is almost linear in quark mass over a large quark mass region below the charm quark mass. For heavy mesons, the quark mass term dominates the masses, while the contribution from the glue components is about $200$ MeV (a bare value around 2GeV) for the heavy pseudoscalar and vector mesons. The charmonium hyperfine splitting is found to be dominated by the quark energy term which is consistent with the picture of the quark potential model.

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