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arXiv 2112.09210hep-phhep-exhep-latnucl-exnucl-th
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关于π介子部分子分布

Concerning pion parton distributions

Z. -F. Cui, M. Ding, J. M. Morgado, K. Raya, D. Binosi, L. Chang, J. Papavassiliou, C. D. Roberts, J. Rodríguez-Quintero, S. M. Schmidt

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15 pages, 9 figures, 1 table
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摘要：

分析的π价夸克分布函数（DF），${u}^π(x;ζ)$，明确纳入行为的π波函数规定的量子色动力学（QCD），预测${u}^π(x\simeq 1;ζ) \sim (1-x)^{β(ζ)}$，$β(ζ\gtrsim m_p)>2$，其中$m_p$是质子质量。然而，在第一次收集适合于提取${u}^π$的$x\simeq 1$行为的数据的实验之后四十多年，经验状态仍然不确定，因为用于拟合现有数据的一些方法返回了违反该约束的${u}^π$的结果。这种分歧导致了以下结论之一：有关的分析是不完整的;不是所有被考虑的数据都是π介子固有性质的真实表达;或者，正如目前所理解的那样，QCD不是强相互作用理论。在得出最终结论之前，需要新的精确数据。在发展这些立场，我们利用一个单一的命题，即。有一个有效的电荷，它定义了一个演化计划的部分子DF是所有订单的准确。这个命题有许多推论，可以用来检验任何DF的特征，无论是拟合的还是计算的。

英文摘要：

Analyses of the pion valence-quark distribution function (DF), ${u}^π(x;ζ)$, which explicitly incorporate the behaviour of the pion wave function prescribed by quantum chromodynamics (QCD), predict ${u}^π(x\simeq 1;ζ) \sim (1-x)^{β(ζ)}$, $β(ζ\gtrsim m_p)>2$, where $m_p$ is the proton mass. Nevertheless, more than forty years after the first experiment to collect data suitable for extracting the $x\simeq 1$ behaviour of ${u}^π$, the empirical status remains uncertain because some methods used to fit existing data return a result for ${u}^π$ that violates this constraint. Such disagreement entails one of the following conclusions: the analysis concerned is incomplete; not all data being considered are a true expression of qualities intrinsic to the pion; or QCD, as it is currently understood, is not the theory of strong interactions. New, precise data are necessary before a final conclusion is possible. In developing these positions, we exploit a single proposition, viz. there is an effective charge which defines an evolution scheme for parton DFs that is all-orders exact. This proposition has numerous corollaries, which can be used to test the character of any DF, whether fitted or calculated.

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。

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