Decoupling of the DGLAP evolution equations by Laplace method

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 virtu...

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Bibliographic Details
Published inEuropean physical journal plus Vol. 130; no. 10; p. 214
Main Authors Boroun, G. R., Zarrin, S., Teimoury, F.
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.10.2015
Springer Nature B.V
Subjects
Applied and Technical Physics
Atomic
Complex Systems
Condensed Matter Physics
Decoupling
Differential equations
Distribution functions
Gluons
Initial conditions
Mathematical analysis
Mathematical and Computational Physics
Molecular
Optical and Plasma Physics
Parameterization
Physics
Physics and Astronomy
Regular Article
Theoretical
Parton Distribution Function
Gluon Distribution
Quark Distribution
Structure Function
Parton Distribution
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Summary: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 s 0 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 .
ISSN:2190-5444
2190-5444
DOI:10.1140/epjp/i2015-15214-2