ZhETF, Vol. 139,
p. 440 (March 2011)
(English translation - JETP,
Vol. 112, No. 3,
available online at www.springer.com
ANALYTIC APPROACH TO THE APPROXIMATE SOLUTION OF THE INDEPENDENT DGLAP EVOLUTION EQUATIONS WITH RESPECT TO THE HARD-POMERON BEHAVIOR
Rezaei B., Boroun G.R.
Received: April 22, 2010
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.