AI 中文总结
研究利用标度和解析性，从质子-质子弹性散射微分截面确定奥德龙振幅，通过‘能量到相位’关系推导正特征标度振幅，拟合数据有矛盾，集中研究波谷/波峰区域确定负特征奥德龙振幅贡献，与D0数据一致并提取其模和相位。
AI 中文摘要
近期已推导出描述大型强子对撞机动量转移双波峰区域中质子-质子弹性散射微分截面的标度振幅。我们验证了在费米实验室最高能量下质子-反质子截面也有相同标度。应用来自S矩阵形式解析性的给定特征的‘能量到相位’关系，推导出正特征标度振幅（即坡密子）。对TOTEM合作组测量的质子-质子微分截面进行拟合，在中等动量转移的实验波谷处与数据存在一些矛盾。集中研究波谷/波峰区域，我们能够确定负特征振幅（即奥德龙）的贡献，得到与D0数据一致的质子-反质子微分截面的无参数预测。然后进行并讨论了奥德龙振幅的模和相位的提取。
英文摘要
Scaling amplitudes describing $pp$ elastic scattering differential cross-sections in the dip-bump region of momentum transfer at the LHC have been recently derived~\cite{scaling}. We check that the same scaling is verified by the $p\bar p$ cross-section at the highest energy of the Tevatron. Applying the general "energy to phase" relation for a given signature, coming from the analiticity properties inherent to the S-Matrix formalism~\cite{chew}, we derive the scaling amplitude with positive signature (i.e. the Pomeron). Fitting the $pp$ differential cross-sections measured by the TOTEM collaboration leads to some tension with data in the experimental dip observed at moderate momentum transfer. Concentrating the study to the dip/bump region, we are able to determine a contribution of a negative signature amplitude (i.e. the Odderon) leading to a parameter free prediction for the $p\bar p$ differential cross-section which is in agreement with the D0 data. The extraction of the Odderon amplitude in both modulus and phase is then performed and discussed.
