论文标题

使用晶状体QCD模拟物理质子质量的质子质子的旋转和动量分数的完全风味分解

Complete flavor decomposition of the spin and momentum fraction of the proton using lattice QCD simulations at physical pion mass

论文作者

Alexandrou, C., Bacchio, S., Constantinou, M., Finkenrath, J., Hadjiyiannakou, K., Jansen, K., Koutsou, G., Panagopoulos, H., Spanoudes, G.

论文摘要

我们使用在物理锥度质量下产生的量规配置的集合来评估对质子自旋的Gluon和夸克的贡献。我们计算所有价值和海夸克对高精度的贡献。我们针对夸克和gluon矩阵元素执行非扰动重归其化。我们发现上,向下,奇怪和魅力夸克对质子的固有旋转的贡献是$ \ frac {1} {2} {2} \ sum_ {q = u,d,d,s,c}δςΔςus,q^+} $ \ sum_ {q = u,d,s,c} j^{q^+} = 0.285(45)$。 Gluon对旋转的贡献为$ J^g = 0.187(46)$产生$ j = j^q+j^g = 0.473(71)$确认旋转总和。 Quarks在质子中携带的动量分数为$ 0.618(60)$,而Gluons $ 0.427(92)$,其总和给出了$ 1.045(118)$ $确认动量总和规则。所有比例尺和方案依赖的数量均在2 GEV处的$ \ Mathrm {\ Mathrm {\ overline {MS}} $方案中给出。

We evaluate the gluon and quark contributions to the spin of the proton using an ensemble of gauge configuration generated at physical pion mass. We compute all valence and sea quark contributions to high accuracy. We perform a non-perturbative renormalization for both quark and gluon matrix elements. We find that the contribution of the up, down, strange and charm quarks to the proton intrinsic spin is $\frac{1}{2}\sum_{q=u,d,s,c}ΔΣ^{q^+}=0.191(15)$ and to the total spin $\sum_{q=u,d,s,c}J^{q^+}=0.285(45)$. The gluon contribution to the spin is $J^g=0.187(46)$ yielding $J=J^q+J^g=0.473(71)$ confirming the spin sum. The momentum fraction carried by quarks in the proton is found to be $0.618(60)$ and by gluons $0.427(92)$, the sum of which gives $1.045(118)$ confirming the momentum sum rule. All scale and scheme dependent quantities are given in the $\mathrm{ \overline{MS}}$ scheme at 2 GeV.

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