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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| Published in | European physical journal plus Vol. 130; no. 10; p. 214 |
|---|---|
| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Berlin/Heidelberg
Springer Berlin Heidelberg
01.10.2015
Springer Nature B.V |
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| Abstract | 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
. |
|---|---|
| AbstractList | 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 Q02 separately as these solutions are defined by F2s(x, Q2) = F(F0,∂Fs0 and G(x, Q2)=G(G0, ∂G0. We compared our results with the MSTW parameterization and the experimental measurements of F2p(x, Q2. 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 . |
| ArticleNumber | 214 |
| Author | Zarrin, S. Teimoury, F. Boroun, G. R. |
| Author_xml | – sequence: 1 givenname: G. R. surname: Boroun fullname: Boroun, G. R. email: boroun@razi.ac.ir organization: Physics Department, Razi University – sequence: 2 givenname: S. surname: Zarrin fullname: Zarrin, S. organization: Physics Department, Razi University – sequence: 3 givenname: F. surname: Teimoury fullname: Teimoury, F. organization: Physics Department, Razi University |
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| Cites_doi | 10.1140/epjc/s10052-014-2814-6 10.1103/PhysRevLett.98.242001 10.1103/PhysRevD.77.094003 10.1103/PhysRevD.83.054009 10.1016/0550-3213(77)90384-4 10.1140/epjc/s10052-013-2412-z 10.1140/epjc/s10052-009-1072-5 10.1140/epjc/s10052-010-1413-4 10.1103/PhysRevD.79.014031 10.1140/epjc/s10052-009-1195-8 10.1103/PhysRevLett.97.252003 |
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| Copyright | Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg 2015 Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg 2015. |
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| Snippet | In this paper we derive two second-order differential equations for the gluon and singlet distribution functions by using the Laplace transform method. We... |
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| SubjectTerms | 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 |
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| Title | Decoupling of the DGLAP evolution equations by Laplace method |
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