Bjorken Sum Rule和pQCD边界在移动
Bjorken Sum Rule and pQCD frontier on the move
摘要：
在接近强子化尺度的区域使用微扰QCD概念的合理性，下面的$\lesssim 1 \GeV$正在研究中。首先，在分析最近Jefferson实验室（JLab）数据的广义Bjorken求和规则函数$Γ_1^{p-n} (Q^2)$在$0.1<Q^2< 3 {\rm GeV}^2$之间的相互作用的高阶pQCD展开和更高的扭曲的贡献进行了研究。结果表明，包含高阶pQCD修正可以吸收，具有良好的数值精度，通过改变高扭曲项的归一化。第二，为了避免非物理奇异性的问题（朗道极点在$Q=Λ\sim 400 \MeV $），我们处理鬼自由的分析微扰理论（APT），最近被证明是一个有趣的候选人定量描述轻夸克偶子光谱内的贝特-萨尔彼得方法。通过使用APT方法从上述数据中提取的扭曲系数$μ_{2k} $的值提供了比普通pQCD更好的高扭曲级数的收敛性。作为主要结果，一个很好的定量描述的JLab数据下降到$Q\simeq$ 350 MeV的实现。
英文摘要：
The reasonableness of the use of perturbative QCD notions in the region close to the scale of hadronization, i.e., below $\lesssim 1 \GeV$ is under study. First, the interplay between higher orders of pQCD expansion and higher twist contributions in the analysis of recent Jefferson Lab (JLab) data on the Generalized Bjorken Sum Rule function $Γ_1^{p-n} (Q^2)$ at $0.1<Q^2< 3 {\rm GeV}^2$ is studied. It is shown that the inclusion of the higher-order pQCD corrections could be absorbed, with good numerical accuracy, by change of the normalization of the higher-twist terms. Second, to avoid the issue of unphysical singularity (Landau pole at $Q=Λ\sim 400 \MeV $), we deal with the ghost-free Analytic Perturbation Theory (APT) that recently proved to be an intriguing candidate for a quantitative description of light quarkonia spectra within the Bethe-Salpeter approach. The values of the twist coefficients $μ_{2k} $ extracted from the mentioned data by using the APT approach provide a better convergence of the higher-twist series than with the common pQCD. As the main result, a good quantitative description of the JLab data down to $Q\simeq$ 350 MeV is achieved.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
