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Related papers: Singlet structure function g_1 at small x and smal…

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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…

High Energy Physics - Phenomenology · Physics 2019-05-13 B. Rezaei , G. R. Boroun

We present exploratory studies of the proton structure via two distinct kinds of gluon densities: the transverse-momentum dependent functions, whose evolution is determined by the CSS equation, and the unintegrated gluon distribution, whose…

High Energy Physics - Phenomenology · Physics 2022-10-18 Francesco Giovanni Celiberto

We compute quark structure functions and the intrinsic Fock space distribution of sea quarks in a hadron wavefunction at small x. The computation is performed in an effective theory at small x where the gluon field is treated classically.…

High Energy Physics - Phenomenology · Physics 2009-10-31 Larry McLerran , Raju Venugopalan

In this paper, we solved the coupled Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) evolution equations for singlet and gluon structure functions in leading order (LO) at low-x assuming the Regge behaviour of quark and gluon structure…

High Energy Physics - Phenomenology · Physics 2008-10-22 U. Jamil , J. K. Sarma

We suggest that the topological susceptibility in gluodynamics can be found in terms of the gluon condensate using renormalizability and heavy fermion representation of the anomaly. Analogous relations can be also obtained for other zero…

High Energy Physics - Phenomenology · Physics 2009-10-30 Igor Halperin , Ariel Zhitnitsky

The spin dependent structure functions, g$_{1p}$ of the proton and g$_{1n}$ of the neutron, calculated in the nucleon rest frame using a relativistic quark model wave function, are compared with recent experiments.

High Energy Physics - Phenomenology · Physics 2016-09-01 Jerrold Franklin

By introducing Q^2-dependence in resonance-reggeon "soft" dual models with nonlinear trajectories, they are extended to "hard" processes, sharing the property of parton-hadron duality. The resulting object is a two-component complex…

Nuclear Theory · Physics 2007-05-23 L. Jenkovszky , V. K. Magas , E. Predazzi

We calculate the gluon structure function of a color dipole in near-light-cone SU(2) lattice QCD as a function of $x_B$. The quark and antiquark are external non-dynamical degrees of freedom which act as sources of the gluon string…

High Energy Physics - Theory · Physics 2013-05-29 D. Grünewald , E. -M. Ilgenfritz , H. J. Pirner

The spin-dependent structure functions $g_1(x)$, $g_2(x)$, ${g}_2^{WW}(x)$ and ${\bar g}_2(x)$ and their moments are studied in the CM bag model. The results show that (i) $\int_0^1g_2(x)dx=0$, i.e. the Burkhardt-Cottingham sum rule holds,…

High Energy Physics - Phenomenology · Physics 2014-11-17 X. Song

Theoretical predictions for polarized nucleon structure function $g_1(x,Q^2)$ at low $Q^2$ are obtained in the framework of the Generalized Vector Meson Dominance model. Contributions from both light and heavy vector mesons are evaluated.…

High Energy Physics - Phenomenology · Physics 2011-09-13 Barbara Badełek , Jan Kwieciński , Beata Ziaja

Coupled DGLAP equations involving singlet quark and gluon distributions are explored by a Taylor expansion as two first order partial differential equations in two variables. The system of equations are then solved by the Lagrange's method…

High Energy Physics - Phenomenology · Physics 2017-01-11 Dilip Kumar Choudhury , Neelakshi Niti Kachari Borah

Polarized structure functions at low $Q^2$ have the physical interpretation of (generalized) spin polarizabilities. At high $Q^2$, the polarized parton distribution $g_2(x)$ provides access to quark-gluon correlations in the nucleon. We…

High Energy Physics - Phenomenology · Physics 2009-05-27 Matthias Burkardt

The $x$- and $Q^2$-dependences of the Gottfried sum rule $S_G(x,Q^2)$ based on the experimental data on proton and deuteron structure functions are studied. The dependence of $S_G(x,Q^2)$ on $Q^2$ for low $x$ points to flavour asymmetry of…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. V. Sidorov , M. V. Tokarev

Recent data on the proton F_2 structure function in the resonance region suggest that local quark-hadron duality works remarkably well for each of the low-lying resonances, including the elastic, to rather low values of Q^2. We derive…

High Energy Physics - Phenomenology · Physics 2014-11-17 W. Melnitchouk

We compute the $q\bar{q}g$ contribution to the diffractive structure functions in high-energy deep inelastic scattering. The obtained result corresponds to a finite part of the next-to-leading-order contribution to the diffractive cross…

High Energy Physics - Phenomenology · Physics 2026-05-05 Abhiram Kaushik , Heikki Mäntysaari , Jani Penttala

We generalize the Bartels-Ermolaev-Ryskin approach for the $g_1$ structure function at small-$x$ to determine the small-$x$ asymptotic behavior of the orbital angular momentum distributions in QCD. We present an exact analytical solution of…

High Energy Physics - Phenomenology · Physics 2019-09-04 Renaud Boussarie , Yoshitaka Hatta , Feng Yuan

We review the theory of polarized structure functions measured in deep-inelastic lepton-nucleon scattering, focusing on the most recent developments. We concentrate on the structure function $g_1$, emphasizing the phenomenological problems…

High Energy Physics - Phenomenology · Physics 2009-09-25 Stefano Forte

We analyze the singlet axial form factor of the proton for small momentum transferred in the framework of QCD sum rules using the interpolating nucleon current which explicitly accounts for the gluonic degrees of freedom. As a result we…

High Energy Physics - Phenomenology · Physics 2008-02-03 A. V. Belitsky , O. V. Teryaev

New experimental results on the spin dependent structure functions g_1 and g_2 which are determined from deep-inelastic scattering experiments at CERN, SLAC and DESY are reported. These results are used to evaluate the Bjorken sum rule and…

High Energy Physics - Phenomenology · Physics 2008-02-03 J. Nassalski

We show that the nonlinear corrections to the longitudinal structure function can be tamed the singularity behavior at low x values, with respect to GLR-MQ equations. This approach can determined the shadowing longitudinal structure…

High Energy Physics - Phenomenology · Physics 2016-11-15 B. Rezaei , G. R. Boroun