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Black disk radius constrained by unitarity

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

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V.A. Khoze

A.D. Martin

M.G. Ryskin


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.


Khoze, V., Martin, A., & Ryskin, M. (2018). Black disk radius constrained by unitarity. Physics Letters B, 787, 167-170.

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


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