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We make a critical, next-to-leading order, study of the relationship between the longitudinal structure function FL and the gluon distribution proposed in Cooper- Sarkar et al. (Z. Phys. C 39:281, 1988; Acta Phys. Pol. B 34:2911 2003),…

高能物理 - 唯象学 · 物理学 2014-01-31 G. R. Boroun , B. Rezaei

The behavior of the gluon distribution of the proton in the low-$x$, low-$Q^2$ domain of deep inelastic electron-proton scattering (DIS) is being investigated. By considering two-gluon exchange as the dominant interaction in the low-$x$,…

高能物理 - 唯象学 · 物理学 2026-02-24 G. R. Boroun , M. Kuroda , Dieter Schildknecht

We investigate the nucleon and pion gluon distribution functions in the framework of holographic QCD, focusing on the small Bjorken x region. Based on an approximate relation, the gluon distributions are extracted from structure functions…

高能物理 - 唯象学 · 物理学 2020-06-24 Akira Watanabe , Takahiro Sawada , Mei Huang

In the high energy regime, the proton structure consists of a very large number of particles called partons (quarks and gluons) that interact with each other, according to the theory of strong interactions, Quantum Chromodynamics (QCD).…

高能物理 - 唯象学 · 物理学 2018-08-06 Gilvana C. Penedo , Werner K. Sauter

We show that the saturation exponent is more effective than the hard pomeron exponent in the nonlinear terms for the GLR-MQ evolution equations. For the gluon distribution the nonlinear terms are found to play an increasingly important role…

高能物理 - 唯象学 · 物理学 2023-08-01 G. R. Boroun

Deep Inelastic Scattering (DIS) experiments have provided important information on the structure of hadrons and ultimately the structure of matter and on the nature of interactions between leptons and hadrons, since the discovery of…

高能物理 - 唯象学 · 物理学 2010-04-27 Begum Umme Jamil

Employing the representation of the experimental data on deep inelastic electron-proton scattering (DIS) in the color-dipole picture (CDP), we determine the gluon distribution of the proton at small Bjorken $x$. At sufficiently large…

高能物理 - 唯象学 · 物理学 2025-12-02 G. R. Boroun , M. Kuroda , Dieter Schildknecht

We studied the effects of NLO $Q^2$ evolution of generalized parton distributions (GPDs) using the aligned-jet model for the singlet quark and gluon GPDs at an initial evolution scale. We found that the skewness ratio for quarks is a slow…

高能物理 - 唯象学 · 物理学 2018-02-14 Hamzeh Khanpour , Muhammad Goharipour , Vadim Guzey

We present numerical studies of the leading non-linear corrections to the DGLAP evolution equations of parton distribution functions (PDFs) resulting from gluon recombination, which reduce the pace of evolution at small momentum fractions…

高能物理 - 唯象学 · 物理学 2024-06-21 Pit Duwentäster , Vadim Guzey , Ilkka Helenius , Hannu Paukkunen

In this paper we have solved the nonlinear Gribov-Levin-Ryskin-Mueller-Qiu (GLR-MQ) evolution equation for gluon distribution function G(x,Q^2) and studied the effects of the nonlinear GLR-MQ corrections to the Leading Order (LO)…

高能物理 - 唯象学 · 物理学 2014-02-24 Mayuri Devee , J. K. Sarma

We show that the charm structure functions $F^{c}_{k}$ have a hard pomeron behavior at low x, as the gluon distribution is dominated by the hard (Lipatov) pomeron at small x and all $Q^{2}$ values. It is shown that the charm structure…

高能物理 - 唯象学 · 物理学 2014-02-04 G. R. Boroun , B. Rezaei

We obtain an approximate analytical form of the gluon distribution using the GLAP equation with a factorization ansatz,and test its validity by comparing it with that of Gluck,Reya and Vogt at low $x$ regime. We also present calculations of…

高能物理 - 唯象学 · 物理学 2014-11-17 Ranjita Deka , D. K. Choudhury

We investigate numerical solution of Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) Q^2 evolution equations for longitudinally polarized structure functions. Flavor nonsinglet and singlet equations with next-to-leading-order $\alpha_s$…

高能物理 - 唯象学 · 物理学 2014-11-17 M. Hirai , S. Kumano , M. Miyama

In this paper, we find the t and x-evolution of deuteron structure function from DGLAP evolution equation of singlet structure function in leading order at small-x assuming the Regge behaviour of the singlet structure function at this limit…

高能物理 - 唯象学 · 物理学 2014-11-17 U. Jamil , J. K. Sarma

We show that combining forward and backward evolution allows to extract the residues of the triple-pole pomeron and of the other singularities for 10 GeV$^2 \le Q^2 \le 1000$ GeV$^2$. In this approach, the essential singularity generated by…

高能物理 - 唯象学 · 物理学 2014-11-17 G. Soyez

We comment on the uniqueness of t-evolution$(t=log(Q^2/\Lambda^2))$ of non-singlet structure functions at low x obtained fromDGLAP equations.

高能物理 - 唯象学 · 物理学 2007-05-23 D K Choudhury , Atri Deshamukhya

In this paper, the evolutions of longitudinal proton structure function have been obtained at small-$x$ up to next-to-next-to-leading order using a hard Pomeron behavior. In our paper, evolutions of gluonic as well as heavy longitudinal…

高能物理 - 唯象学 · 物理学 2014-12-05 G. R. Boroun , B. Rezaei , J. K. Sarma

This is a draft describing the calculation of the evolution of the gluon density in $x$ from an initial value $x=x_{0}=0.01$ to smaller values, up to $x=10^{-8}$ in the hard pomeron formalism with a running coupling introduced on the basis…

高能物理 - 唯象学 · 物理学 2014-11-17 Mikhail Braun , Gian Paolo Vacca

In this work, we investigate the gluon distribution functions for the pion and kaon, in addition to the improved result of the valence-quark ones, in the gauge-invariant nonlocal chiral-quark model (NL$\chi$QM), in which the momentum…

高能物理 - 唯象学 · 物理学 2023-02-14 Parada T. P. Hutauruk , Seung-il Nam

We computed the longitudinal proton structure function $F_{L}$, using the nonlinear Dokshitzer-Gribov-Lipatov-Altarelli-parisi (NLDGLAP) evolution equation approach at small $x$. For the gluon distribution, the nonlinear effects are related…

高能物理 - 唯象学 · 物理学 2014-02-07 G. R. Boroun