Black disk radius constrained by unitarity

Khoze, V.A.; Martin, A.D.; Ryskin, M.G.

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) = c ln 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.

Citation

Khoze, V., Martin, A., & Ryskin, M. (2018). Black disk radius constrained by unitarity. Physics Letters B, 787, 167-170. https://doi.org/10.1016/j.physletb.2018.10.054

• Journal Article Type: Article
• Acceptance Date: Oct 29, 2018
• Online Publication Date: Nov 1, 2018
• Publication Date: Nov 1, 2018
• Deposit Date: Nov 14, 2018
• Publicly Available Date: Nov 14, 2018
• Journal: Physics Letters B
• Print ISSN: 0370-2693
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 787
• Pages: 167-170
• DOI: https://doi.org/10.1016/j.physletb.2018.10.054