AI 中文总结
研究通过结合光锥QCD求和规则结果改进对质子中夸克禁闭的分析，将夸克力重建设为正则化反问题，减少模型依赖，提供互补确定方法，且未来改进输入可降不确定性。
AI 中文摘要
夸克禁闭是标准模型的核心问题之一，即带色夸克被永久束缚在色中性强子内部，从未被观测为孤立粒子。最近，Ji等人提出了一个定义和测量质子中夸克上的力的框架。在这项工作中，我们通过纳入光锥QCD求和规则结果来改进分析，以补充大\(|q^2|\)区域有限的实验和晶格QCD信息。我们将夸克力的重建表述为正则化反问题，减少了与之前规定的函数参数化相关的模型依赖性。得到的夸克力提供了一种互补的、参数化依赖性较小的确定方法，与线性QCD势所暗示的一致，也支持了之前框架的稳健性。我们还表明，未来改进的输入可以大幅降低重建夸克力的不确定性。
英文摘要
Quark confinement, the fact that colored quarks are permanently bound inside color-neutral hadrons and have never been observed as isolated particles, remains one of the central issues of the Standard Model. Recently, Ji et al.\,\cite{Ji:2026lyj} proposed a framework to define and measure the force on quarks in the proton, obtaining strong evidence for a net confining force and thus opening a new perspective on the study of confinement. In this work, we improve this analysis by incorporating light-cone QCD sum rule results to supplement the limited experimental and lattice QCD information in the large-$|q^2|$ region. We further formulate the reconstruction of the quark force as a regularized inverse problem, thereby reducing the model dependence associated with the prescribed functional parametrizations used before. The resulting quark force provides a complementary, less parametrization-dependent determination and remains consistent with that implied by a linear QCD potential, which also supports the robustness of the framework proposed in Ref.\,\cite{Ji:2026lyj}. We also show that improved future inputs can substantially reduce the uncertainty in the reconstructed quark force.
Comments7 pages, 5 figures
