Conceicao, R., Dias de Deus, J. and Pimenta, M. (2012), "Proton-proton cross-sections: The interplay between density and radius", NUCLEAR PHYSICS A, 888: 58-66.
Abstract: We argue that there are two mechanisms responsible for the growth of
high energy cross-sections - sigma(tot) and sigma(el), say - in pp
collisions. One is by the increase of matter density, resulting in the
black disk saturation. The other is exclusively by radial expansion
affecting the periphery of the overlap area. Within this simple model we
can reproduce all available data in pp from ISR to LHC. In order to
achieve a fast growth in the very high energy cosmic ray energies, we
propose a fast black disk saturation followed by the dominance of
geometric scaling (GS). (C) 2012 Elsevier B.V. All rights reserved.
Keywords: Proton-proton cross-sections; Effective radius; Density; Grey disk model
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