Scaling of the elastic proton-proton cross-section

Abstract

We discuss scaling properties of the elastic $pp$ cross-section both at the ISR and the LHC. We observe that the ratio of bump to dip positions of the differential cross-section $d{\sigma }_{\mathrm{el}}/dt$ is constant over a wide energy range. We next study the consequences of this property, including geometric scaling at the ISR and new scaling laws at the LHC.

Comments: 7 pages, 3 figures. Presented at "Diffraction and Low-$x$ 2024'', Trabia (Palermo, Italy), September 8-14, 2024. In v2 a few typos corrected