Starting from a short range expansion of the inelastic overlap function, capable of describing quite well the elastic pp and pp 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 pp 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.
Production of gluon jets becomes a feature of average hadron collisions for multi-TeV energies, leading to a model where interactions are mostly mediated by semihard gluons. We calculate forward scattering in this model as the shadow of the large inelastic cross sections associated with gluon jets. Using Fermilab Tevatron experiment E710 results, we deduce that p at 546 GeV is well below the central U A 4 value of 0.24, defusing this number as a crucial issue.
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