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Related papers: Sum Rules for Nucleon GPDs and Border Function For…

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The HERMES collaboration has recently published a set of (correlated) beam charge, beam spin and target spin relative asymmetries for the Deeply Virtual Compton Scattering process. This reaction allows in principle to access the Generalized…

High Energy Physics - Phenomenology · Physics 2009-12-04 M. Guidal , H. Moutarde

An impulse approximation analysis is described of the generalized parton distributions (GPDs) H and E of the 3He nucleus, quantities which are accessible in hard exclusive processes, such as coherent deeply virtual Compton scattering…

Nuclear Theory · Physics 2015-06-11 M. Rinaldi , S. Scopetta

We discuss the relations between Generalized Parton Distributions (GPDs) and nucleon resonances. We first briefly introduce the concept of "transition" GPDs. Then we discuss a straightforward application to the modelization of the…

High Energy Physics - Phenomenology · Physics 2015-06-25 M. Guidal , S. Bouchigny , J. -P. Didelez , C. Hadjidakis , E. Hourany , M. Vanderhaeghen

We outline in detail the properties of generalized parton distributions (GPDs), which contain new information on the structure of the nucleon and which enter the description of hard exclusive reactions. We highlight the physics content of…

High Energy Physics - Phenomenology · Physics 2016-09-06 K. Goeke , M. V. Polyakov , M. Vanderhaeghen

The link between the nucleon generalized parton distributions and the non-diagonal one-body density matrix in momentum space is studied. Attention is focussed on the region where quark generalized parton distributions (GPD's) describe…

High Energy Physics - Phenomenology · Physics 2009-11-07 S. Boffi , B. Pasquini , M. Traini

In recent years, there has been a breakthrough in lattice calculations of $x$-dependent partonic distributions. This encompasses also distributions describing the 3D structure of the nucleon, such as generalized parton distributions (GPDs).…

Generalized parton distribution functions (GPDs) of spin-3/2 particles are defined for the first time in this paper. Eight unpolarized and eight polarized GPDs are found. In the forward limit of GPDs, the structure functions and parton…

High Energy Physics - Phenomenology · Physics 2023-01-04 Dongyan Fu , Bao-Dong Sun , Yubing Dong

It is reviewed how Compton scattering sum rules relate low-energy nucleon structure quantities to the nucleon excitation spectrum. In particular, the GDH sum rule and recently proposed extensions of it will be discussed. These extensions…

High Energy Physics - Phenomenology · Physics 2014-11-18 Marc Vanderhaeghen

Spacelike and timelike generalized parton distributions (GPDs) have been investigated in charged-lepton scattering and electron-positron collisions via deeply virtual Compton scattering and two-photon processes, respectively. Furthermore,…

High Energy Physics - Phenomenology · Physics 2022-03-03 S. Kumano , R. Petti

Generalized Parton Distributions (GPDs) offer a new way to access the quark and gluon nucleon structure. We review recent progress in this domain, emphasizing the need to supplement the experimental study of deeply virtual Compton…

High Energy Physics - Phenomenology · Physics 2011-09-05 B. Pire , K. Semenov-Tian-Shansky , L. Szymanowski , J. Wagner

Considering the magnetic moment and polarizabilities of the nucleon we emphasize the need for relativistic chiral EFT calculations. Our relativistic calculations are done via the forward-Compton-scattering sum rules, thus ensuring the…

Nuclear Theory · Physics 2014-11-18 Vladimir Pascalutsa

The new parameterization of the Generalized Parton Distributions (GPDs) t-dependence is investigated. It is shown that the new form of the GPDS allows one to reproduce sufficiently well the electromagnetic form factors of the proton and…

High Energy Physics - Phenomenology · Physics 2013-03-25 O. V. Selyugin

In a scenario where the constituent quarks are composite systems, Generalized Parton Distributions (GPDs) are built from wave functions to be evaluated in a Constituent Quark Model (CQM), convoluted with the GPDs of the constituent quarks…

High Energy Physics - Phenomenology · Physics 2007-05-23 Sergio Scopetta , Vicente Vento

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 present a neural-network-based framework for modeling generalized parton distributions, referred to as NNGPD, in which GPDs are represented as flexible functions constrained through physically motivated integral relations. In this…

We derive QCD sum rules from the nucleon two-point function in nuclear medium, calculating its specral function in chiral perturbation theory to one loop. Our calculation shows the inadequacy of the commonly used ansatz to represent the…

Nuclear Theory · Physics 2007-05-23 S. Mallik , Hiranmaya Mishra

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

Upper bounds for GCD sums of the form [\sum_{k,{\ell}=1}^N\frac{(\gcd(n_k,n_{\ell}))^{2\alpha}}{(n_k n_{\ell})^\alpha}] are proved, where $(n_k)_{1 \leq k \leq N}$ is any sequence of distinct positive integers and $0<\alpha \le 1$; the…

Number Theory · Mathematics 2013-11-12 Christoph Aistleitner , Istvan Berkes , Kristian Seip

The Generalized Parton Distributions (GPDs) are the appropriate framework for a universal description of the partonic structure of the nucleon. They characterize the dynamics of quarks and gluons inside the nucleon and consequently contain…

Nuclear Experiment · Physics 2009-08-24 E. Voutier

Taking into account the recent parameterizations of parton distribution functions (PDFs), % obtained in the recent time, the momentum transfer dependence of generalized parton distributions (GPDs) of nucleons is obtained in the limit $\xi…

High Energy Physics - Phenomenology · Physics 2024-11-18 O. V. Selyugin , O. V. Teryaev