从近阈值$ϕ$和$J/ψ$光产物中提取质子示踪异常能量
Extraction of Proton Trace Anomaly Energy from Near-Threshold $ϕ$ and $J/ψ$ photo-productions
摘要：
痕量反常能量对质子质量的贡献是非微扰QCD和强子物理中的一个重要课题。在实验上，如何测量质子径迹异常能量一直是讨论的热点，质子径迹异常的QCD解释还不清楚，为了将理论和实验联系起来，我们通过分析$ϕ$和J/ $ψ$矢量介子的近阈值光生数据，提取了质子径迹异常。基于矢量介子主导模型和QCD范德华力表示，我们发现质子质量中痕量异常的百分比范围从$16\%$到$24\%$，与格点量子色动力学给出的23个$\%$处于相似的数量级。我们还提供了从模型假设以及数据拟合程序中提取的结果的系统不确定性的近似大小。我们给出了17.2 $\%$，17.7 $\%$，3.6 $\%$和8.2 $\%$，总相对系统不确定度为21.4 $\%$，54.2 $\%$，37.2 $\%$，和25.7 $\%$，分别用于分析GREX、LEPS、CLAS和SAPHIR数据。我们认为，近阈值$Υ$光生实验更有利于未来质子质量痕量异常的测量。
英文摘要：
The trace anomalous energy contribution to the proton mass is a very important topic in non-perturbative QCD and hadron physics. In experiments, it is under the hot discussions on how to measure the trace anomalous energy.The QCD interpretation of proton trace anomaly is still not clear.To connect the theory with the experiment,we extract the trace anomaly by analyzing the near-threshold photo-production data of $ϕ$ and J/$ψ$ vector mesons. Based on the vector-meson-dominance model and QCD Van der Waals representation, we find that the percentage of trace anomaly in the proton mass ranges from $16\%$ to $24\%$, which is of similar order of magnitude as the 23$\%$ given by Lattice QCD. We also provide the approximate magnitudes of the systematic uncertainties of the extracted results from the model assumptions as well as the data fitting procedures. We give relative statistical uncertainties of 17.2$\%$, 17.7$\%$, 3.6$\%$, and 8.2$\%$, total relative systematic uncertainties of 21.4$\%$, 54.2$\%$, 37.2$\%$, and 25.7$\%$, for the analyses of the GlueX, LEPS, CLAS, and SAPHIR data, respectively. We argue that the near-threshold $Υ$ photo-production experiments are more beneficial for the measurement of trace anomaly in proton mass in the future.
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