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To leading order approximation, the physical content of generalized parton distributions (GPDs) that is accessible in deep virtual electroproduction of photons or mesons is contained in their value on the cross-over trajectory. This…

High Energy Physics - Phenomenology · Physics 2008-12-18 Kresimir Kumericki , Dieter Mueller , Kornelija Passek-Kumericki

For the generalized parton distribution (GPD) E, extracted from hard exclusive processes and the Pauli form factor of the nucleon, the second moments for quarks and gluons at $t=0$ are calculated and their scale dependence analyzed. The…

High Energy Physics - Phenomenology · Physics 2025-01-03 Peter Kroll

For the first time, we present a lattice QCD determination of Mellin moments of unpolarized generalized parton distributions (GPDs) of the proton from an analysis of the quasi-GPD matrix elements within the short-distance factorization…

We study the unpolarized and the helicity dependent generalized parton distributions (GPDs) for the valence quarks of the proton in both momentum space and position space within the basis light-front quantization (BLFQ) framework. The GPDs…

High Energy Physics - Phenomenology · Physics 2022-06-01 Yiping Liu , Siqi Xu , Chandan Mondal , Xingbo Zhao , James P. Vary

We elaborate on a recently proposed extension of the Gerasimov-Drell-Hearn (GDH) sum rule which is achieved by taking derivatives with respect to the anomalous magnetic moment. The new sum rule features a {\it linear} relation between the…

High Energy Physics - Phenomenology · Physics 2014-11-18 B. R. Holstein , V. Pascalutsa , M. Vanderhaeghen

The internal structure of hadrons is important for a variety of topics, including the hadron form factors, proton spin and spin asymmetry in polarized proton scattering. For a systematic study generalized parton distributions (GPDs) encode…

We examine convergence properties of reconstructing the generalized parton distributions (GPDs) through the universal moment parameterization (GUMP). We provide a heuristic explanation for the connection between the formal…

High Energy Physics - Phenomenology · Physics 2024-12-05 Hao-Cheng Zhang , Xiangdong Ji

We present the polynomiality sum rules for all leading-twist quark and gluon generalized parton distributions (GPDs) of spin-1 targets such as the deuteron nucleus. The sum rules connect the Mellin moments of these GPDs to polynomials in…

High Energy Physics - Phenomenology · Physics 2019-05-30 W. Cosyn , A. Freese , B. Pire

The forward limit of the chiral-odd generalized parton distributions (GPDs) and their lower moments are investigated within the framework of the chiral quark soliton model (CQSM), with particular emphasis upon the transversity decomposition…

High Energy Physics - Phenomenology · Physics 2009-02-18 M. Wakamatsu

The sum rule for the first moment of the polarised (virtual) photon structure function $g_1^\gamma(x,Q^2;K^2)$ is revisited in the light of proposals for future $e^+ e^-$ colliders. The sum rule exhibits an array of phenomena characteristic…

High Energy Physics - Phenomenology · Physics 2009-11-10 G. M. Shore

I use QCD sum rule ideas to construct models for generalized parton distributions. To this end, the perturbative parts of QCD sum rules for the pion and nucleon electromagnetic form factors are interpreted in terms of GPDs and two models…

High Energy Physics - Phenomenology · Physics 2009-09-24 Anatoly Radyushkin

Results from a recent analysis of the zero-skewness generalized parton distributions (GPDs) for valence quarks are reviewed. The analysis bases on a physically motivated parameterization of the GPDs with a few free parameters adjusted to…

High Energy Physics - Phenomenology · Physics 2025-01-22 P. Kroll

We discuss nonperturbative QCD evolution of nonsinglet nucleon structure functions, with particular application to the Gottfried sum. We show that the coupling of the quark partons to bound state mesons leads to nonperturbative…

High Energy Physics - Phenomenology · Physics 2014-11-17 Richard Ball , Stefano Forte

Generalized parton distributions (GPDs) characterize the 3-dimensional structure of hadrons, combining information about their internal quark and gluon longitudinal momentum distributions and transverse position within the hadron. The…

High Energy Physics - Phenomenology · Physics 2024-12-25 A. Freese , D. Adamiak , I. Cloët , W. Melnitchouk , J. -W. Qiu , N. Sato , M. Zaccheddu

We derive a new twist-3 partonic sum rule for the transverse spin of the proton, which involves the well-know quark spin structure function $g_T(x)=g_1(x)+g_2(x)$, the less-studied but known transverse gluon polarization density $\Delta…

High Energy Physics - Phenomenology · Physics 2021-06-30 Yuxun Guo , Xiangdong Ji , Kyle Shiells

It is often taken for granted that Generalized Parton Distributions (GPDs) are defined in the "symmetric" frame, where the transferred momentum is symmetrically distributed between the incoming/outgoing hadrons. However, such frames pose…

We use a matching procedure of sum rules relating the electromagnetic form factors to generalized parton distributions (GPDs) and AdS modes. In this way, in the framework of an AdS/QCD hard-wall model, the helicity-independent GPDs of…

High Energy Physics - Phenomenology · Physics 2015-06-04 Alfredo Vega , Ivan Schmidt , Thomas Gutsche , Valery E. Lyubovitskij

Quark orbital angular momentum in the proton is evaluated via a Lattice QCD calculation of the second Mellin moment of the twist-3 generalized parton distribution $\widetilde{E}_{2T} $ in the forward limit. The connection between this…

High Energy Physics - Lattice · Physics 2024-06-04 M. Engelhardt , N. Hasan , S. Krieg , S. Liuti , S. Meinel , J. Negele , A. Pochinsky , M. Rodekamp , S. Syritsyn

The gauge invariant operator formulation of the angular momentum sum rule ${1\over2} = J_q + J_g$ for the proton is presented and contrasted with the sum rule for the first moment of the polarised structure function $g_1^p$. The decoupling…

High Energy Physics - Phenomenology · Physics 2009-10-31 G. M. Shore

An approach is proposed to calculate Generalized Parton Distributions (GPDs) in a Constituent Quark Model (CQM) scenario, considering the constituent quarks as complex systems. The GPDs are obtained from the wave functions of the non…

High Energy Physics - Phenomenology · Physics 2011-02-01 Sergio Scopetta , Vicente Vento
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