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A unique feature of generalised parton distributions is their relation to the QCD energy-momentum tensor. In particular, they provide access to the mechanical properties of the proton i.e. the distributions of pressure and shear stress…

High Energy Physics - Phenomenology · Physics 2021-04-28 H. Dutrieux , C. Lorcé , H. Moutarde , P. Sznajder , A. Trawiński , J. Wagner

The unique experimental connection to the QCD energy-momentum tensor offered by generalised parton distributions has been strongly highlighted in the past few years with attempts to extract the pressure and shear forces distributions within…

High Energy Physics - Phenomenology · Physics 2024-10-18 Hervé Dutrieux , Thibaud Meisgny , Cédric Mezrag , Hervé Moutarde

The proton's internal structure is characterized not only by its charge and magnetic distribution but also by its mechanical and mass properties, which are encoded in the energy-momentum tensor (EMT) of quantum chromodynamics (QCD). These…

High Energy Physics - Phenomenology · Physics 2025-07-04 The MMGPDs Collaboration , Muhammad Goharipour , Hadi Hashamipour , H. Fatehi , Fatemeh Irani , K. Azizi , S. V. Goloskokov

In light of recent experimental progress in determining the pressure and shear distributions in the proton, these quantities are calculated in a model with confined quarks supplemented by the pion field required by chiral symmetry. The…

High Energy Physics - Phenomenology · Physics 2023-12-11 Shiryo Owa , A. W. Thomas , X. G. Wang

We study the parametrization of the energy-momentum tensor for the case of a proton in momentum space in terms of gravitational transverse momentum-dependent distributions (TMDs). These gravitational TMDs are investigated with the inclusion…

High Energy Physics - Phenomenology · Physics 2026-04-17 Navpreet Kaur , Shubham Sharma , Abi Jebarson A , Harleen Dahiya

Gravitational form factors (GFFs) of hadrons encode essential information about the internal distributions of mass, spin, pressure, and shear among their quark and gluon constituents. We compute the quark and gluon GFFs of the proton using…

High Energy Physics - Phenomenology · Physics 2025-06-10 Sreeraj Nair , Chandan Mondal , Siqi Xu , Xingbo Zhao , James P. Vary

The gravitational form factors which are obtained from the matrix elements of the energy-momentum tensor provide us information about internal distributions of mass, energy, pressure and shear. The Druck term is the least understood among…

High Energy Physics - Phenomenology · Physics 2022-06-27 Poonam Choudhary , Bheemsehan Gurjar , Dipankar Chakrabarti , Asmita Mukherjee

This work applies lattice QCD to compute quark momentum distributions in the nucleon. We explore a novel approach based on non-local operators in order to analyze transverse momentum dependent parton distribution functions, which encode…

High Energy Physics - Lattice · Physics 2009-07-15 Bernhard U. Musch

The structure of the proton remains a significant challenge within the field of Quantum Chromodynamics, with the origin of its spin and mass still lacking a satisfactory explanation. In this study, we utilize the gravitational form factor…

High Energy Physics - Phenomenology · Physics 2023-09-22 Wei Kou , Xurong Chen

We review the current understanding of heavy quark parton distributions in nucleons and their impact on deep inelastic scattering, collider physics, and other processes at high energies. The determination of the heavy-quark parton…

High Energy Physics - Phenomenology · Physics 2020-06-30 S. J. Brodsky , G. I. Lykasov , A. V. Lipatov , J. Smiesko

We obtain the gravitational form factors (GFFs) and investigate their applications for the description of the mechanical properties, i.e., the distributions of pressures, shear forces inside proton, and the mechanical radius, in a…

High Energy Physics - Phenomenology · Physics 2020-12-29 Dipankar Chakrabarti , Chandan Mondal , Asmita Mukherjee , Sreeraj Nair , Xingbo Zhao

We investigate the mechanical properties of the proton by extracting its flavor-decomposed gravitational form factors (GFFs) using Light-Cone QCD sum rules (LCSR). These form factors encode critical information about the internal dynamics…

High Energy Physics - Phenomenology · Physics 2025-08-12 Zeinab Dehghan , F. Almaksusi , K. Azizi

The proton spin crisis remains an unsolved problem in particle physics. The spin and angular momentum of the partons inside the proton are non-perturbative quantities in QCD which cannot be calculated by using the perturbative QCD (pQCD).…

General Physics · Physics 2019-06-11 Gouranga C Nayak

In the framework of quantum chromodynamics (QCD), parton distribution functions (PDFs) quantify how the momentum and spin of a hadron are divided among its quark and gluon constituents. Two main approaches exist to determine PDFs. The first…

In this work we continue our effort to explore a recent proposal, which allows light-cone distributions to be extracted from purely spatial correlations, being thus accessible to lattice methods. In order to test the feasibility of this…

Understanding the internal structure of the proton-including the distributions of quarks and gluons and their contributions to proton properties such as mass-remains a central challenge in quantum chromodynamics (QCD). While quark…

High Energy Physics - Phenomenology · Physics 2026-03-06 Jiali Deng , Defu Hou

Parton distribution functions (DFs) have long been recognised as key measures of hadron structure. Today, theoretical prediction of such DFs is becoming possible using diverse methods for continuum and lattice analyses of strong interaction…

High Energy Physics - Phenomenology · Physics 2024-11-12 Yang Yu , Craig D. Roberts

The strong force which binds hadrons is described by the theory of Quantum Chromodynamics (QCD). Determining the character and manifestations of QCD is one of the most important and challenging outstanding issues necessary for a…

In this article we present a review of the structure of the proton and the current status of our knowledge of the parton distribution functions (PDFs). The lepton-nucleon scattering experiments which provide the main constraints in PDF…

High Energy Physics - Experiment · Physics 2013-03-20 Emmanuelle Perez , Eram Rizvi

Generalized Parton Distributions (GPDs) have emerged as a powerful framework for exploring the internal structure of hadrons in terms of their partonic constituents. Over the past three decades, the field has witnessed significant…

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