Work

Black disk radius constrained by unitarity

Year: 2018

Type: article

Abstract: We argue that if the elastic proton–proton cross section increases with energy, the Froissart-like high energy behaviour of the elastic amplitude (which corresponds to a ‘black disk’ of radius R(s)=cln⁡s−βln⁡(ln⁡s)) is the only possibility to satisfy the unitarity equation at each value of the impact parameter, b. Otherwise the cross section of events with Large Rapidity Gaps grows faster than the total cross section at the same b. That is, these ‘gap’ events require maximal growth of the high-energy (asymptotic) cross section and of the interaction radius R(s) in order to be consistent with unitarity.

Source: Physics Letters B

DOI: 10.1016/j.physletb.2018.10.054

Authors: V.A. Khoze, A.D. Martin, M.G. Ryskin

Institutions: Durham University, Kurchatov Institute, Petersburg Nuclear Physics Institute

Language: English

Topic: Particle physics theoretical and experimental studies

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: Royal Society of Edinburgh, Durham University, Science and Technology Facilities Council

Award: G3763781085