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We study the nonperturbative properties of the nucleon's chiral-odd generalized parton distributions (transversity GPDs) in the large-$N_c$ limit of QCD. This includes the parametric ordering of the spin-flavor components, the polynomiality…

High Energy Physics - Phenomenology · Physics 2024-11-27 June-Young Kim , Christian Weiss

We investigate the nucleon's chiral-odd generalized parton distribution functions (GPDs) in the large-$N_c$ limit of QCD. Extending previous work on the leading-order contribution in the $1/N_c$ expansion, we focus on the…

High Energy Physics - Phenomenology · Physics 2025-06-27 June-Young Kim

Hadron properties are modified when the hadron is embedded in a nuclear medium. Here we discuss the Gerasimov-Drell-Hearn, GDH, sum rule for polarised photoproduction from a polarised nucleon within a polarised nuclear target. Strong…

Nuclear Theory · Physics 2023-10-25 Steven D. Bass , Paolo Pedroni , Andreas Thomas

The Generalized Parton Distributions (GPDs) of the nucleon are analyzed within the relativistic constituent quark model formulated on the light-front. It is shown that the matrix elements of the plus component of the one-body vector current…

High Energy Physics - Phenomenology · Physics 2017-08-23 Silvano Simula

We review the phenomenological framework for accessing Generalized Parton Distributions (GPDs) using measurements of Deeply Virtual Compton Scattering (DVCS) from a proton target. We describe various GPD models and fitting procedures,…

High Energy Physics - Phenomenology · Physics 2016-07-20 K. Kumericki , S. Liuti , H. Moutarde

The relevance of measuring Generalized Parton Distributions (GPDs) of nuclei is stressed and the unique possibilities offered by nuclear few body systems is emphasized. A realistic microscopic calculation of the unpolarized quark GPD Hq3 of…

Nuclear Theory · Physics 2009-11-10 Sergio Scopetta

The new parameterization of the generalized parton distributions t-dependence is proposed. It allows one to reproduce sufficiently well the electromagnetic form factors of the proton and neutron at small and large momentum transfer. The…

High Energy Physics - Phenomenology · Physics 2009-02-20 O. V. Selyugin , O. V. Teryaev

We generalize recent matrix-based factorization theorems for Lambert series generating functions generating the coefficients $(f \ast 1)(n)$ for some arithmetic function $f$. Our new factorization theorems provide analogs to these…

Number Theory · Mathematics 2019-09-23 Hamed Mousavi , Maxie D. Schmidt

We discuss a consistent treatment of the light-front gauge-boson and meson wave functions in the analyses of the generalized parton distributions(GPDs) and the scattering amplitudes in deeply virtual Compton scattering(DVCS) for the pion.…

High Energy Physics - Phenomenology · Physics 2009-11-07 Ho-Meoyng Choi , Chueng-Ryong Ji , L. S. Kisslinger

In this paper we study QCD and power corrections to sum rules which show up in deep inelastic lepton-hadron scattering. Furthermore we will make a distinction between fundamental sum rules which can be derived from quantum field theory and…

High Energy Physics - Phenomenology · Physics 2009-11-07 V. Ravindran , W. L. van Neerven

We discuss the generalized parton distributions (GPDs) for unpolarized hadrons, as a continuation of our recent work on hadronic structure on the light front. We analyze the unpolarized GPDs for the light nucleon and delta, as well as…

High Energy Physics - Phenomenology · Physics 2023-05-17 Edward Shuryak , Ismail Zahed

Generalized parton distributions (GPDs) are three-dimensional structure functions of hadrons, and they can reveal the orbital-angular-momentum contributions to the nucleon spin. Therefore, GPDs are important for solving the proton spin…

High Energy Physics - Phenomenology · Physics 2020-01-08 Qin-Tao Song

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…

The dual parametrization and the Mellin-Barnes integral approach represent two frameworks for handling the double partial wave expansion of generalized parton distributions (GPDs) in the conformal partial waves and in the $t$-channel ${\rm…

High Energy Physics - Phenomenology · Physics 2015-06-23 Dieter Müller , Maxim V. Polyakov , Kirill M. Semenov-Tian-Shansky

Exclusive photoproduction of heavy $J/\psi$ meson is performed within handbag factorization method. The General Parton Distributions (GPDs) for gluons which are an essential ingredient here, are constructed using double distribution (DD)…

High Energy Physics - Phenomenology · Physics 2024-08-13 S. V. Goloskokov , Ya-Ping Xie , Xurong Chen

The Generalized Parton Distributions (GPDs) constitute an appropriate framework for a universal description of the partonic structure of the nucleon. Double Deeply Virtual Compton Scattering (DDVCS) process provides the only experimental…

High Energy Physics - Phenomenology · Physics 2019-12-16 Shengying Zhao

We present a machine-learning method for the nonparametric extraction of generalized parton distributions (GPDs) from Compton form factors (CFFs) constrained by experimental data. The method addresses the longstanding inverse problem posed…

High Energy Physics - Phenomenology · Physics 2026-05-26 Dima Watkins , Ishara Fernando , Dustin Keller

We revisit the photo-absorption sum rule for real Compton scattering from the proton and from nuclear targets. In analogy with the Thomas-Reiche-Kuhn sum rule appropriate at low energies, we propose a new "constituent quark model" sum rule…

Nuclear Theory · Physics 2015-05-30 Mikhail Gorchtein , Timothy Hobbs , J. Timothy Londergan , Adam P. Szczepaniak

Finding a good way to model probability densities is key to probabilistic inference. An ideal model should be able to concisely approximate any probability while being also compatible with two main operations: multiplications of two models…

Machine Learning · Computer Science 2021-11-29 Alessandro Rudi , Carlo Ciliberto

The formulation of the Gerasimov-Drell-Hearn sum rule is revisited, showing its connection with other sum rules occurring in electron scattering and discussing the problem of its saturation, both from the theoretical and experimental point…

Nuclear Theory · Physics 2017-08-23 M. M. Giannini