skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Analytic approach to the approximate solution of the independent DGLAP evolution equations with respect to the hard-Pomeron behavior

Abstract

We show that it is possible to use hard-Pomeron behavior to the gluon distribution and singlet structure function at low x. We derive a second-order independent differential equation for the gluon distribution and the singlet structure function. In this approach, both singlet quarks and gluons have the same high-energy behavior at small x. These equations are derived from the next-to-leading order DGLAP evolution equations. All results can be consistently described in the framework of perturbative QCD, which shows an increase of gluon distribution and singlet structure functions as x decreases.

Authors:
Publication Date:
OSTI Identifier:
22028122
Resource Type:
Journal Article
Journal Name:
Journal of Experimental and Theoretical Physics
Additional Journal Information:
Journal Volume: 112; Journal Issue: 3; Other Information: Copyright (c) 2011 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1063-7761
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; APPROXIMATIONS; DIFFERENTIAL EQUATIONS; GLUONS; MATHEMATICAL SOLUTIONS; PARTICLE KINEMATICS; PARTICLE STRUCTURE; PERTURBATION THEORY; QUANTUM CHROMODYNAMICS; QUARKS; STRUCTURE FUNCTIONS

Citation Formats

Rezaei, B, and Boroun, G. R., E-mail: boroun@razi.ac.ir. Analytic approach to the approximate solution of the independent DGLAP evolution equations with respect to the hard-Pomeron behavior. United States: N. p., 2011. Web. doi:10.1134/S1063776111020099.
Rezaei, B, & Boroun, G. R., E-mail: boroun@razi.ac.ir. Analytic approach to the approximate solution of the independent DGLAP evolution equations with respect to the hard-Pomeron behavior. United States. https://doi.org/10.1134/S1063776111020099
Rezaei, B, and Boroun, G. R., E-mail: boroun@razi.ac.ir. 2011. "Analytic approach to the approximate solution of the independent DGLAP evolution equations with respect to the hard-Pomeron behavior". United States. https://doi.org/10.1134/S1063776111020099.
@article{osti_22028122,
title = {Analytic approach to the approximate solution of the independent DGLAP evolution equations with respect to the hard-Pomeron behavior},
author = {Rezaei, B and Boroun, G. R., E-mail: boroun@razi.ac.ir},
abstractNote = {We show that it is possible to use hard-Pomeron behavior to the gluon distribution and singlet structure function at low x. We derive a second-order independent differential equation for the gluon distribution and the singlet structure function. In this approach, both singlet quarks and gluons have the same high-energy behavior at small x. These equations are derived from the next-to-leading order DGLAP evolution equations. All results can be consistently described in the framework of perturbative QCD, which shows an increase of gluon distribution and singlet structure functions as x decreases.},
doi = {10.1134/S1063776111020099},
url = {https://www.osti.gov/biblio/22028122}, journal = {Journal of Experimental and Theoretical Physics},
issn = {1063-7761},
number = 3,
volume = 112,
place = {United States},
year = {Tue Mar 15 00:00:00 EDT 2011},
month = {Tue Mar 15 00:00:00 EDT 2011}
}