Splittings of low-lying charmonium masses at the physical point
Splittings of low-lying charmonium masses at the physical point
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DOI：
10.1103/physrevd.99.034509
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发表时间：
2018-10
影响因子：
5
通讯作者：
C. DeTar;A. Kronfeld;Song-haeng Lee;D. Mohler;J. Simone
中科院分区：
文献类型：
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作者：
C. DeTar;A. Kronfeld;Song-haeng Lee;D. Mohler;J. Simone
我们用格点QCD方法计算了粲偶素基态的质量分裂。对于价粲夸克，计算使用费米实验室解释中的威尔逊-三叶草夸克。规范场系综是基于改进的交错作用量（asqtad）在上、下和奇异海夸克的存在下产生的，而胶子场是基于单圈、蝌蚪改进的规范作用量产生的。我们使用五个晶格间距和两个值的轻海夸克质量外推的结果的物理点。一组扩大的插值算子用于变分分析，以提高在每个通道的基态的能量的测定。我们提出并实现了连续外推费米实验室的解释，基于功率计数参数，并彻底讨论了系统的不确定性的所有来源。我们比较了各种质量分裂，即1 S超精细分裂，1 P-1 S分裂和P波自旋轨道和张量分裂的结果与它们的实验值。考虑到与共振宽度相关的不确定性，我们发现非常一致。
We present high-precision results from lattice QCD for the mass splittings of the low-lying charmonium states. For the valence charm quark, the calculation uses Wilson-clover quarks in the Fermilab interpretation. The gauge-field ensembles are generated in the presence of up, down, and strange sea quarks, based on the improved staggered (asqtad) action, and gluon fields, based on the one-loop, tadpole-improved gauge action. We use five lattice spacings and two values of the light sea quark mass to extrapolate the results to the physical point. An enlarged set of interpolating operators is used for a variational analysis to improve the determination of the energies of the ground states in each channel. We present and implement a continuum extrapolation within the Fermilab interpretation, based on power-counting arguments, and thoroughly discuss all sources of systematic uncertainty. We compare our results for various mass splittings with their experimental values, namely, the 1S hyperfine splitting, the 1P-1S splitting and the P-wave spin-orbit and tensor splittings. Given the uncertainty related to the width of the resonances, we find excellent agreement.