arXiv 1104.43192011-04-21hep-lat

$N_f=2+1$各向异性晶格的核子和π介子形状因子

Nucleon and Pion Form Factors from $N_f=2+1$ Anisotropic Lattices

Huey-Wen Lin, Saul D. Cohen

备注：: 13 pages, 8 figures

摘要：

本文报道了最近用格点QCD方法计算核子和π介子电磁形状因子和核子轴向形状因子的结果，特别着重于大$Q^2$。传统的晶格形状因子计算只能达到大约2.5 GeV的$^2$，但在这项工作中的转移动量被推到6 GeV的$^2$。在这里，我们证明了2+1味各向异性三叶草晶格的核子和π介子的结果，与低$Q^2$量，如狄拉克和泡利半径，反常磁矩，$g_A$和$M_A$。我们的方法可以应用于各向同性晶格和晶格具有较小的晶格间距，以实现更大的$Q^2$形状因子。对形状因子进行处理，以获得2维冲击参数空间上的横向电荷和磁化密度。这些测量可以为实验提供重要的理论输入，例如JLab的12-GeV计划，并提供对强子结构的深入了解。

英文摘要：

We report a recent lattice-QCD calculation of nucleon and pion electromagnetic form factors and nucleon axial form factors, with special emphasis on large $Q^2$. Conventional lattice form-factor calculations can only reach about 2.5 GeV$^2$, but in this work the transfer momentum is pushed as large as 6 GeV$^2$. Here, we demonstrate the results on 2+1-flavor anisotropic clover lattices for the nucleon and pion, comparing with low-$Q^2$ quantities, such as Dirac and Pauli radii, anomalous magnetic moments, $g_A$ and $M_A$. Our approach can be applied to isotropic lattices and lattices with smaller lattice spacing to achieve even larger-$Q^2$ form factors. The form factors are processed to obtain transverse charge and magnetization densities across 2-dimensional impact-parameter space. These measurements could give important theoretical input to experiments, such as those of JLab's 12-GeV program, and provide insight into hadronic structure.

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