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In the case of SD, Y is the non-dissociated proton. As expected from kinematic considerations, a strong correlation is observed, independently of the MC model used to determine ξ, between ξ and the pseudorapidity of the hadron from X that is farthest from the initial-state proton pseudorapidity.Therefore, the upper limit of the MBTS detector acceptance of |η|.In this letter, a direct measurement of the inelastic pp cross-section at the highest energy collider to date is presented.Measurements of the inelastic p-air cross-section in the multi-Te V regime are available from cosmic-ray shower detection experiments, and have been used to infer the pp cross-section albeit with significant uncertainties.The variable ξ is defined at the particle level by dividing the final state particles from the MC generators into two systems, X and Y.
The cross-sections cannot yet be calculated by quantum chromodynamics, and many approaches have been used to describe the existing measurements.
Several models are used for the dependence of the diffractive cross-sections on ξ.
The Schuler and Sjöstrand model has a relatively flat dependence on ξ, whereas the Phojet model predicts a slight decrease with decreasing ξ.
Whereas the cross-sections used by Pythia6 and Pythia8 are identical, they differ in the modelling of the hadronic final state.
Phojet predicts the corresponding cross-sections as 61.6 mb (ND), 10.7 mb (SD) and 3.9 mb (DD).
Because of differences in implementation of the interface between large ξ diffractive (SD and DD) processes and ND processes in Pythia and Phojet, the fractional contribution of these processes is a model-dependent quantity.