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arXiv 2406.01737hep-ph
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弹性质子-质子散射微分截面的标度律

Scaling laws of elastic proton-proton scattering differential cross sections

Cristian Baldenegro, Michal Praszalowicz, Christophe Royon, Anna M. Stasto

AI总结:

本文揭示了弹性质子-质子散射微分截面在ISR到LHC能区具有普适的凸起-低谷位置比值常数,据此比较了不同标度律,并论证了LHC存在一族标度律及其对散射振幅参数化的约束。

摘要:

我们证明弹性散射 $pp \ o pp$ 微分截面作为四动量转移平方 $|t|$ 的函数具有普适性质,即从 ISR 到 LHC 的能量范围,从几十 GeV 到 TeV 尺度,凸起到低谷位置的比值是常数。我们利用这一性质比较了在 ISR 观察到的几何标度与最近在 LHC 提出的标度律。我们论证了在 LHC 现有实验不确定度内,实际上存在一族标度律。我们讨论了标度律对弹性 $pp \ o pp$ 散射振幅参数化施加的约束。

英文摘要:

We show that elastic scattering $pp \to pp $ differential cross sections as function of the four-momentum transfer square $|t|$ have a universal property, such that the ratio of bump-to-dip positions is constant from the energies of the ISR to the LHC, from tens of GeV and up to the TeV scale. We explore this property to compare the geometrical scaling observed at the ISR with the recently proposed scaling law at the LHC. We argue that, at the LHC, within present experimental uncertainties, there is in fact a family of scaling laws. We discuss the constraints that the scaling laws impose on the parametrization of the elastic $pp\to pp$ scattering amplitude.

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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