https://doi.org/10.1140/epjp/i2015-15214-2
Regular Article
Decoupling of the DGLAP evolution equations by Laplace method
Physics Department, Razi University, 67149, Kermanshah, Iran
* e-mail: boroun@razi.ac.ir
Received:
30
July
2015
Revised:
26
August
2015
Accepted:
17
September
2015
Published online:
26
October
2015
In this paper we derive two second-order differential equations for the gluon and singlet distribution functions by using the Laplace transform method. We decoupled the solutions of the singlet and gluon distributions into the initial conditions (function and derivative of the function) at the virtuality Q 0 2 separately as these solutions are defined by F 2 s (x, Q 2) = F(F 0 ,∂F s0 and G(x, Q 2)=G(G 0, ∂G 0. We compared our results with the MSTW parameterization and the experimental measurements of F 2 p (x, Q 2.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2015
