Scaling violations: Connections between elastic and inelastic hadron scattering in a geometrical approach

Abstract

Starting from a short range expansion of the inelastic overlap function, capable of describing quite well the elastic pp and $\bar{p}p$ scattering data, we obtain extensions to the inelastic channel, through unitarity and an impact parameter approach. Based on geometrical arguments we infer some characteristics of the elementary hadronic process and this allows an excellent description of the inclusive multiplicity distributions in $pp$ and $\bar{p}p$ collisions. With this approach we quantitatively correlate the violations of both geometrical and KNO scaling in an analytical way. The physical picture from both channels is that the geometrical evolution of the hadronic constituents is principally reponsible for the energy dependence of the physical quantities rather than the dynamical (elementary) interaction itself.

16 pages, aps-revtex, 11 figures

References in corpus (4)

• Differential cross sections for high energy elastic hadron-hadron scattering in nonperturbative QCD
• Multiplicity Distribution and Mechanisms of the High-Energy Hadron Collisions
• High energy parton-parton amplitudes from lattice QCD and the stochastic vacuum model
• Elastic cross sections for high energy hadron-hadron scattering

Cited by in corpus (7)

• Non-perturbative QCD effects in forward scattering at LHC
• Cross sections, multiplicity and moment distributions at the LHC
• Collective effects in multiparticle production processes at the LHC
• Multiparticle production in the model with antishadowing
• Impact Parameter Dependence of Inelasticity in $pp$ / $p\bar{p}$ Collisions
• Energy dependence of the inelasticity in $pp/p\bar{p}$ collisions from experimental information on charged particle multiplicity distributions
• Inelastic cross sections, overlap functions and Cq moments from ISR to LHC energies in proton interactions