Skip to main content Accessibility help
×
Hostname: page-component-5c6d5d7d68-tdptf Total loading time: 0 Render date: 2024-08-28T03:12:48.516Z Has data issue: false hasContentIssue false

Appendix A - Space-time description of the hadron interactions at high energies

Published online by Cambridge University Press:  06 January 2010

Get access

Summary

Here we consider the strong and electromagnetic interactions of hadrons in a unified way. It is assumed that there exist point-like particles (partons) in the sense of quantum field theory and that a hadron with large momentum p consists of ∼ ln(p/µ) partons which have restricted transverse momenta, and longitudinal momenta which range from p to zero. The density of partons increases with the increase of the coupling constant. Since the probability of their recombination also increases, an equilibrium may be reached. In this lecture we will consider consequences of the hypothesis that the equilibrium really occurs. We demonstrate that it leads to constant total cross sections at high energies, and to the Bjorken scaling in the deep inelastic ep scattering. The asymptotic value of the total cross sections of hadron–hadron scattering turns out to be universal, while the cross sections of quasi-elastic scattering processes at zero angle tend to zero.

The multiplicity of the outgoing hadrons and their distributions in longitudinal momenta (rapidities) are also discussed.

Introduction

In this lecture we will try to describe electromagnetic and strong interactions of hadrons in the same framework which follows from general quantum field theory considerations without the introduction of quarks or other exotic objects.

We will assume that there exist point-like constituents in the sense of quantum field theory which are, however, strongly interacting. It is convenient to refer to these particles as partons.

Type
Chapter
Information
The Theory of Complex Angular Momenta
Gribov Lectures on Theoretical Physics
, pp. 216 - 239
Publisher: Cambridge University Press
Print publication year: 2003

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

Available formats
×