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

Details Mechanisms of proton-proton inelastic cross-section growth in multi-peripheral model within the framework of perturbation theory. Part 3 Mechanisms of proton-proton inelastic cross-section growth in multi-peripheral model within the framework of perturbation theory. Part 3

2009-12-14

arxiv.org/abs/0912.2598v3

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, 13 figures (A title misprint corrected)

Scientific paper

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

Affiliated with

Also associated with

No associations

Rating

Mechanisms of proton-proton inelastic cross-section growth in multi-peripheral model within the framework of perturbation theory. Part 3 does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Mechanisms of proton-proton inelastic cross-section growth in multi-peripheral model within the framework of perturbation theory. Part 3, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Mechanisms of proton-proton inelastic cross-section growth in multi-peripheral model within the framework of perturbation theory. Part 3 will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-624272