论文标题
手性夸克模型的矢量 - 轴向矢量晶格横截面和价parton分布
Vector-axial vector lattice cross section and valence parton distribution in the pion from a chiral quark model
论文作者
论文摘要
在手性夸克模型中，我们评估了Ma和Qiu最近提出的矢量轴向矢量通道中欧几里得空间中的良好横截面，作为从Lattice QCD中提取预斜型锥分布功能的手段。我们的结果在夸克模型量表上非常简单，并且在必要的QCD演化之后很好地同意，并且最新的晶格计算在量表$μ\ sim 2 $ gev中，对于晶格pion质量的各种值。比较作为IOFFE时间变量的功能进行。我们还对动量分数$ x $中最低时刻的信息发表评论，通常可以从此类分析中提取，以及从当前数据中$ x \至1 $限制的无法获取性。
Within a chiral quark model, we evaluate the good cross section in the Euclidean space in the vector - axial vector channel, proposed recently by Ma and Qiu as means to extract the so far elusive parton distribution functions of the pion from lattice QCD. Our results are remarkably simple at the quark model scale and agree well, after the necessary QCD evolution, with with the most recent lattice calculations at the scale $μ\sim 2$ GeV for various values of the lattice pion mass. Comparisons are made as functions of the Ioffe time variable. We also comment on the information on the lowest moments in the momentum fraction $x$, generically extractable from such analyses, as well as on the inaccessibility of the $x \to 1$ limit from the present data.
