arXiv 1409.31962014-09hep-ph

极高能质子-质子散射中恒定“边”的证据

Evidence for a Constant `Edge' in Proton-Proton Scattering at Very High Energies

Martin M. Block, Loyal Durand, Francis Halzen, Leo Stodolsky, Thomas J. Weiler

备注：: 8 pages, 2 figures, Sentence added at end of section 2.2, Two typos corrected
发表信息：: Phys. Rev. D 91, 011501(R) (2015)
DOI：: 10.1103/PhysRevD.91.011501

摘要：

精确拟合$pp$和$\bar pp$横截面数据高达Tevatron能量，结合解析性和么正性所施加的约束，成功地预测了最近的大型强子对撞机和宇宙射线测量的结果，并建议的截面渐近接近黑盘极限。然而，接近极限是非常缓慢的。我们提出了一个简单的几何图片，以自然的方式解释这些功能。一个半径随时间增长的黑色圆盘被一个软“边”所补充，它的性质不随能量而变化。边缘的恒定性导致预测量$(σ^{TOT}-2σ^{El})/\surdσ^{TOT}$在高能量下接近常数。使用现有的拟合，这一预测似乎得到了验证。极限常数的值允许对边缘的厚度进行估计，其结果是大约$1\,{\rm fm}$。这样，我们就得到这样一幅图：在较低能量下，质子-质子散射主要由边缘决定，而在较高能量下，则主要由圆盘决定。两种机制之间的交叉仅在$\surd s\geq $ 10 TeV处，这说明了渐近行为的缓慢接近。一些问题的性质的边缘进行了讨论。

英文摘要：

Accurate fits to $pp$ and $\bar pp$ cross section data up to Tevatron energies, incorporating the constraints imposed by analyticity and unitarity, successfully predict the results of recent LHC and cosmic ray measurements, and suggest that the cross sections approach a black disc limit asymptotically. The approach to the limit is, however, very slow. We present a simple geometric picture which explains these features in a natural way. A black disc of logarithmically growing radius is supplemented by a soft `edge' whose properties are invariant with energy. The constancy of the edge results in the prediction that the quantity $(σ^{TOT}-2σ^{El})/\surdσ^{TOT}$ approaches a constant at high energy. Using the existing fits, this prediction appears to be verified. The value of the limiting constant allows an estimate of the thickness of the edge, which turns out to be on the order of $1\,{\rm fm}$. One thus arrives at a picture where the proton-proton scattering at lower energies is dominated by what becomes the edge, while at higher energies it is dominated by the disc. The crossover between the two regimes is only at $\surd s\geq $ 10 TeV, accounting for the slow approach to asymptotic behavior. Some questions as to the nature of the edge are discussed.

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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