# Mechanisms of proton-proton inelastic cross-section growth in multi-peripheral model within the framework of perturbation theory. Part 3 - High Energy Physics - Phenomenology

Mechanisms of proton-proton inelastic cross-section growth in multi-peripheral model within the framework of perturbation theory. Part 3 - High Energy Physics - Phenomenology - Download this document for free, or read online. Document in PDF available to download.

Abstract: We develop a new method for taking into account the interferencecontributions to proton-proton inelastic cross-section within the framework ofthe simplest multi-peripheral model based on the self-interacting scalar \phi^3field theory, using Laplace-s method for calculation of each interferencecontribution.We do not know any works that adopted the interference contributions forinelastic processes. This is due to the generally adopted assumption that themain contribution to the integrals expressing the cross section makesmulti-Regge domains with its characteristic strong ordering of secondaryparticles by rapidity. However, in this work, we find what kind of spacedomains makes a major contribution to the integral and these space domains arenot multi-Regge. We demonstrated that because these interference contributionsare significant, so they cannot be limited by a small part of them. With thehelp of the approximate replacement the sum of a huge number of thesecontributions by the integral were calculated partial cross sections for suchnumbers of secondary particles for which direct calculation would beimpossible.The offered model qualitative agrees with experimental dependence of totalscattering cross-section on energy {\sqrt s} with a characteristic minimum inthe range {\sqrt s \approx 10} GeV.However, quantitative agreement was not achieved; we assume that due to thefact that we have examined the simplest diagrams of \phi^3 theory.

Author: ** I. V. Sharf, G. O. Sokhrannyi, A. V. Tykhonov, K. V. Yatkin, N. A. Podolyan, M. A. Deliyergiyev, V. D. Rusov**

Source: https://arxiv.org/