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相关论文: Small-x behavior of the structure function F_2 and…

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We argue that the deep inelastic structure function $F_2^{\gamma p}(x, Q^2)$, regarded as a cross section for virtual $\gamma^*p$ scattering, is hadronic in nature. This implies that its growth is limited by the Froissart bound at high…

高能物理 - 唯象学 · 物理学 2014-02-10 Martin M. Block , Loyal Durand , Phuoc Ha , Douglas W. McKay

An alternative equation, resumming of the $\ln^2 1/x$ terms for the polarized nonsinglet structure function $g_1^{NS}$ at small $x$ is presented. Construction of the GLAP-like formula for the auxiliary function, corresponding to the…

高能物理 - 唯象学 · 物理学 2011-03-17 Dorota Kotlorz , Andrzej Kotlorz

We review recent HERA data on the structure function F_2 at small x and large Q^2. We show that the salient features of the data are revealed by comparing them to the double asymptotic scaling behaviour which F_2 is predicted to satisfy in…

高能物理 - 唯象学 · 物理学 2009-10-28 Stefano Forte , Richard D. Ball

We show that for small x and in the double logarithmic approximation (DLA) g_2 can be expressed through derivative of g_1 with respect to logarithm of the QCD coupling. Therefore the small-x behavior of the both structure functions is…

高能物理 - 唯象学 · 物理学 2009-10-30 B. I. Ermolaev , S. I. Troyan

Explicit expressions for the non-singlet and singlet structure functions g_1 in the small-x region are obtained. They include the total resummation of the double- and single- logarithms of x and account for the running QCD coupling effects.…

高能物理 - 唯象学 · 物理学 2016-12-07 B. I. Ermolaev , M. Greco , S. I. Troyan

We perform the fit to the structure function $F_2$ data from HERA including terms due to the resummation at small $x$. The equation for the unintegrated gluon density is solved, previously established within the renormalization group…

高能物理 - 唯象学 · 物理学 2022-07-13 Wanchen Li , Anna M. Stasto

Recent HERA low $Q^2$ data show that the logarithmic slope of the protonstructure function ($\frac{\partial F_2}{\partial \ln Q^2}$) is significantly different from perturbative QCD expectations for smallvalues of $Q^2$ at exeedingly small…

高能物理 - 唯象学 · 物理学 2019-08-17 E. Gotsman , E. levin , U. Maor

The drastic rise of the proton structure function F_2(x,Q^2) when the Bj\"orken variable x decreases, seen at HERA for a large span of Q^2, negative values for the 4-momentum transfer, may be damped when Q^2 increases beyond several…

高能物理 - 唯象学 · 物理学 2014-11-17 P. Desgrolard , A. Lengyel , E. Martynov

We investigate the influence of higher twist corrections to deep inelastic structure functions in the low-$Q^2$ and small-$x$ HERA region. We review the general features of the lowest-order QCD diagrams which contribute to twist-4 at…

高能物理 - 唯象学 · 物理学 2008-11-26 J. Bartels , K. Golec-Biernat , K. Peters

An approximated solution for gluon distribution from DGLAP evolution equations with NLO splitting function in the small-$x$ limit is presented. We first obtain the simplified forms of LO and NLO splitting functions in the small-$x$ limit.…

高能物理 - 唯象学 · 物理学 2024-01-29 Jingxuan Chen , Xiaopeng Wang , Yanbing Cai , Xurong Chen , Qian Wang

In this paper, the proton structure function $F_2 ^p (x,Q^2)$ at small-$x$ is investigated using an analytical solution of the Balitsky-Kovchegov (BK) equation. In the context of the color dipole description of deep inelastic scattering…

高能物理 - 唯象学 · 物理学 2024-03-21 Ranjan Saikia , Pragyan Phukan , Jayanta Kumar Sarma

We investigate the evolution of parton densities at small values of the momentum fraction, x, by including resummed anomalous dimensions in the renormalization group equations. The resummation takes into account the leading-logarithmic…

高能物理 - 唯象学 · 物理学 2016-09-01 R. K. Ellis , F. Hautmann , B. R. Webber

An analytical solution of the QCD evolution equations for the singlet and gluon distribution is presented. We decouple DGLAP evolution equations into the initial conditions by using a Laplace transform method at $N^{n}LO$ analysis. The…

高能物理 - 唯象学 · 物理学 2019-05-13 B. Rezaei , G. R. Boroun

The behavior of the structure function at high energies (high densities) is directly associated to the gluon distribution. In this paper we analyze the asymptotic behavior of the structure function at very high densities considering a…

高能物理 - 唯象学 · 物理学 2009-11-07 M. B. Gay Ducati , V. P. Goncalves

We investigate structure functions in deep inelastic scattering processes (DIS) at Bj\"{o}rken limit and found that they are factorized into the longitudinal and transversal parts. We see that the longitudinal part can be linked to exact…

高能物理 - 唯象学 · 物理学 2025-03-18 H. Babujian , M. Karowski , A. Sedrakyan

Phenomenological studies on the proton structure function F^2 have been carried out to investigate the behavior of F^2, i.e. its x and Q^2 dependence, in the transition from the deep-inelastic scattering region (Q^2 >> 1 GeV^2) to the…

高能物理 - 唯象学 · 物理学 2007-05-23 Bernd Surrow

The deuteron deep inelastic unpolarized structure function F_2^D is calculated using the Wilson operator product expansion method. The long distance behaviour, related to the deuteron bound state properties, is evaluated using the…

核理论 · 物理学 2010-12-17 J. Paulo Pinto , A. Amorim , F. D. Santos

Numerous experimental and theoretical investigations have highlighted the power law behavior of the proton structure function $ F_2(x, Q^2) $, particularly the dependence of its power constant on various kinematic variables. In this study,…

高能物理 - 唯象学 · 物理学 2025-03-26 Wei Kou , Gang Xie , Xiaopeng Wang , Chengdong Han , Xurong Chen

We calculate twist--4 coefficient functions for the deep inelastic structure function $F_2(x,Q^2)$ associated to 4--gluon operator matrix elements for general values of the Bjorken variable $x$ and study the numerical effect on the slope…

高能物理 - 唯象学 · 物理学 2009-11-07 J. Blümlein , V. Ravindran , J. Ruan , W. Zhu

We parametrize the small x, singlet component of the proton structure function F_2 by powers and logarithms of 1/x for discrete values of Q^2 between 0.2 and 2000 GeV^2, and compare these parametrizations by applying the criterion of…

高能物理 - 唯象学 · 物理学 2009-10-31 P. Desgrolard , L. Jenkovszky , A. Lengyel , F. Paccanoni