scholarly journals Fragmentation functions of neutral mesons π0 and k0 with Laplace transform approach

2016 ◽  
Vol 31 (17) ◽  
pp. 1650100 ◽  
Author(s):  
F. Taghavi-Shahri ◽  
S. Atashbar Tehrani ◽  
M. Zarei
Keyword(s):  
Experimental Data ◽  
Laplace Transform ◽  
Evolution Equations ◽  
Dglap Evolution ◽  
Laplace Transform Method ◽  
Transform Method ◽  
Neutral Mesons ◽  
The Laplace Transform ◽  
Fragmentation Functions ◽  
Good Agreement

With an analytical solutions of DGLAP evolution equations based on the Laplace transform method, we find the fragmentation functions (FFs) of neutral mesons, [Formula: see text] and [Formula: see text] at NLO approximation. We also calculated the total fragmentation functions of these mesons and compared them with experimental data and those from global fits. The results show a good agreement between our solutions and other models and they are compatible with experimental data.

scholarly journals Decoupling the NLO-coupled QED⊗QCD, DGLAP evolution equations, using Laplace transform method

2017 ◽  
Vol 32 (14) ◽  
pp. 1750065 ◽  
Author(s):  
Marzieh Mottaghizadeh ◽  
Parvin Eslami ◽  
Fatemeh Taghavi-Shahri
Keyword(s):  
Laplace Transform ◽  
Structure Function ◽  
Evolution Equations ◽  
Distribution Functions ◽  
Proton Structure Function ◽  
Dglap Evolution ◽  
Leading Order ◽  
Laplace Transform Method ◽  
Transform Method ◽  
Proton Structure

We analytically solved the QED[Formula: see text]QCD-coupled DGLAP evolution equations at leading order (LO) quantum electrodynamics (QED) and next-to-leading order (NLO) quantum chromodynamics (QCD) approximations, using the Laplace transform method and then computed the proton structure function in terms of the unpolarized parton distribution functions. Our analytical solutions for parton densities are in good agreement with those from CT14QED [Formula: see text] (Ref. 6) global parametrizations and APFEL (A PDF Evolution Library) [Formula: see text] (Ref. 4). We also compared the proton structure function, [Formula: see text], with the experimental data released by the ZEUS and H1 collaborations at HERA. There is a nice agreement between them in the range of low and high [Formula: see text] and [Formula: see text].

scholarly journals Numerical Solutions of Fractional Fokker-Planck Equations Using Iterative Laplace Transform Method

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Limei Yan
Keyword(s):  
Laplace Transform ◽  
Numerical Solutions ◽  
Convergent Series ◽  
Space Time ◽  
Laplace Transform Method ◽  
Transform Method ◽  
Promising Tool ◽  
The Laplace Transform ◽  
Fokker Planck Equations ◽  
Fokker Planck

A relatively new iterative Laplace transform method, which combines two methods; the iterative method and the Laplace transform method, is applied to obtain the numerical solutions of fractional Fokker-Planck equations. The method gives numerical solutions in the form of convergent series with easily computable components, requiring no linearization or small perturbation. The numerical results show that the approach is easy to implement and straightforward when applied to space-time fractional Fokker-Planck equations. The method provides a promising tool for solving space-time fractional partial differential equations.

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