arXiv 1708.028792017-08hep-phhep-ex

高能散射振幅的驻点和结构

The Stationary Points and Structure of High-Energy Scattering Amplitude

A. P. Samokhin, V. A. Petrov

备注：: 17 pages, 5 figures, 2 tables; published version
发表信息：: Nucl. Phys. A 974 (2018) 45-55
DOI：: 10.1016/j.nuclphysa.2018.03.009

摘要：

ISR和7 TeV LHC数据表明，在$\approx 7.5 \mathrm{\ mb}/\mathrm{GeV}^{2}$能级上，质子-质子弹性散射的微分截面在转移动量$t\approx - 0.21\, \mathrm{GeV}^{2}$处几乎保持能量无关. $ dσ/dt$（“第一”稳定点）的这一性质是由于总截面和局部斜率参数的相关增长而出现的，并且可以表示为后者数量之间的关系。我们预计，这个属性将是真实的高达13 TeV。这使我们能够规范化的初步TOTEM数据$ dσ/dt$在13 TeV和$ 0.05 < |t| < 3.4\, \mathrm{GeV}^{2}$和预测值的$ dσ/dt$在这个能量。这些数据证明了在$\approx 33 \mathrm{\ nb}/\mathrm{GeV}^{2}$水平上$t\approx - 2.3\,\mathrm{GeV}^{2}$的第二个稳定点。$ dσ/dt$的能量演化看起来好像高能弹性散射振幅是两个相似项的和。我们认为，高能弹性散射振幅的两个驻点的存在和两个分量的结构是所有弹性过程的一般性质。

英文摘要：

The ISR and the 7 TeV LHC data indicate that the differential cross-section of elastic proton-proton scattering remains almost energy-independent at the transferred momentum $t\approx - 0.21\, \mathrm{GeV}^{2}$ at the level of $\approx 7.5 \mathrm{\ mb}/\mathrm{GeV}^{2}$. This property of $ dσ/dt$ (the "first" stationary point) appears due to the correlated growth of the total cross-section and the local slope parameter and can be expressed as a relation between the latter quantities. We anticipate that this property will be true up to 13 TeV. This enables us to normalize the preliminary TOTEM data for $ dσ/dt$ at 13 TeV and $ 0.05 < |t| < 3.4\, \mathrm{GeV}^{2}$ and predict the values of $ dσ/dt$ at this energy. These data give an evidence of the second stationary point at $t\approx - 2.3\,\mathrm{GeV}^{2}$ at the level of $\approx 33 \mathrm{\ nb}/\mathrm{GeV}^{2}$. The energy evolution of $ dσ/dt$ looks as if the high energy elastic scattering amplitude is a sum of two similar terms. We argue that the existence of the two stationary points and the two-component structure of the high energy elastic scattering amplitude are general properties for all elastic processes.

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