论文标题
质子和中子的自旋结构功能中夸克 - 戴隆二元性的详细研究
Detailed Study of Quark-Hadron Duality in Spin Structure Functions of the Proton and Neutron
论文作者
论文摘要
在本文中，我们首次介绍了质子和中子的推断深度非弹性结构函数$ g_1 $之间的对应关系，并在核子共振区域中测量了相同的数量。我们在世界旋转结构功能上使用世界数据的QCD参数化，推断到核子共振区域中，并在缩放变量$ x $的各个间隔内平均。我们将结果与通过CLAS协作在夸克 - 哈德隆过渡区收集的大数据集进行了比较，平均在相同的间隔内进行了比较。我们将此比较作为动量转移$ q^2 $的函数。我们发现，根据所选择的平均间隔和最小动量转移，在两个核子物种中都可以观察到向夸克 - 戴隆偶性的明显过渡。此外，我们首次显示在足够高的动量转移时在共振区域中测得的$ G_1 $的缩放行为。我们的结果可用于量化与PQCD在中等能量中获取的数据的适用性的偏差，并有助于从此类数据中提取夸克分布功能。
In this paper, we present for the first time comprehensive and detailed results on the correspondence between the extrapolated deep inelastic structure function $g_1$ of both the proton and the neutron with the same quantity measured in the nucleon resonance region. We use a QCD parameterization of the world data on DIS spin structure functions, extrapolated into the nucleon resonance region and averaged over various intervals in the scaling variable $x$. We compare the results with the large data set collected in the quark-hadron transition region by the CLAS collaboration, averaged over the same intervals. We present this comparison as a function of the momentum transfer $Q^2$. We find that, depending on the averaging interval and the minimum momentum transfer chosen, a clear transition to quark-hadron duality can be observed in both nucleon species. Furthermore, we show, for the first time, the scaling behavior of $g_1$ measured in the resonance region at sufficiently high momentum transfer. Our results can be used to quantify the deviations from the applicability of pQCD for data taken at moderate energies, and help with extraction of quark distribution functions from such data.
