Scaling laws of elastic proton-proton scattering differential cross sections

2024/06/03 by Cristian Baldenegro, Baldenegro, Cristian, Michał Praszałowicz +5 · 3 citations
Engineering · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Particle Accelerators and Free-Electron Lasers

paper · pdf · doi:10.48550/arxiv.2406.01737

openalex publication_date 2024/06/03 · openalex created_date 2024/06/08 · openalex updated_date 2026/07/28

Abstract

We show that elastic scattering pp → 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→ pp scattering amplitude.

Cited by

• Evaluating the ratio of the exclusive vector meson photoproduction to inclusive hadron/jet production cross section in ultraperipheral heavy ion collisions
• Models for differential cross section in proton-proton scattering and their implications at ISR and LHC energies
• Universal properties of elastic pp cross section from the ISR to the LHC

Related

• Scaling properties of elastic pp cross-section
• Scaling of the elastic proton-proton cross-section
• Universal properties of elastic pp cross section from the ISR to the LHC
• Geometric scaling of elastic pp cross section at the LHC
• A QCD interpretation of the scaling observed in the LHC proton-proton elastic cross-sections at moderate transfer momentum