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arXiv 1807.08548hep-phastro-ph.HEhep-ex
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高能质子-核截面

Highest Energy Proton-Nucleus Cross Sections

Leo Stodolsky

摘要:

用带“边”的“黑盘”来描述极高能量质子-质子截面,可以简单地推广到最高能量质子-原子核截面。这导致了前导$ln^2W$项和$ln\, W$项,其系数线性地依赖于核的半径($W$为c.m.能源)。必要的参数由p-p数据拟合确定。由于$ln W$项的系数相当大,所以用加速器或宇宙射线中的可用能量能否达到$ln^2W$占优势的状态是值得怀疑的。然而,$ln W$项可能与大气中最高能量的宇宙射线有关,预计氮的截面会大幅增加。通过在p核对撞机上研究$ln W$的系数,应该可以检验这个理论。

英文摘要:

The description of very high energy proton-proton cross sections in terms of a `black disc' with an `edge' allows of a simple generalization to highest energy proton-nucleus cross sections. This results in a leading $ln^2W$ term and a $ln\, W$ term whose coefficient depends linearly on the radius of the nucleus ($W$ the c.m. energy). The necessary parameters are determined from the fits to p-p data. Since the coefficient of the $ln W$ term is rather large, it is doubtful that the regime of $ln^2W$ dominance can be reached with available energies in accelerators or cosmic rays. However, the $ln W$ term can be relevant for highest energy cosmic rays in the atmosphere, where a large increase for the cross section on nitrogen is expected. Tests of the theory should be possible by studying the coefficient of $ln W$ at p-nucleus colliders.

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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