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The three-dimensional spatial structure of hadrons is encoded in their form factors. Via appropriate Fourier transform, the latter describe how charge, energy, linear and angular momentum, but also pressure are distributed inside these…

High Energy Physics - Phenomenology · Physics 2024-07-16 Cédric Lorcé

The physics related to the form factors of the energy momentum tensor spans a wide spectrum of problems, and includes gravitational physics, hard exclusive reactions, hadronic decays of heavy quarkonia, and the physics of exotic hadrons…

High Energy Physics - Phenomenology · Physics 2018-09-17 Maxim V. Polyakov , Peter Schweitzer

Form factors are Lorentz invariant functions describing the internal structure of a system. In particular, they encode how physical properties like, e.g., charge, energy, momentum, and pressure are spatially distributed. While nucleon…

High Energy Physics - Phenomenology · Physics 2024-02-02 Cédric Lorcé

The interpretation of the energy-momentum tensor form factor $D(t)$ of hadrons in terms of pressure and shear force distributions is discussed, concerns raised in the literature are reviewed, and ways to reconcile the concerns with the…

High Energy Physics - Phenomenology · Physics 2025-04-24 Cédric Lorcé , Peter Schweitzer

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

We summarize recent works on the question of the nucleon mass decomposition and the 2D relativistic distribution of pressure forces on the light front. All these mechanical properties are encoded in the energy-momentum tensor of the system…

High Energy Physics - Phenomenology · Physics 2019-10-15 Cédric Lorcé

Stress distributions in the deuteron are related to form factors of the asymmetric energy-momentum tensor through three-dimensional Fourier transforms. There are eleven such form factors, which we calculate in an impulse approximation. We…

Nuclear Theory · Physics 2026-05-28 Wim Cosyn , Adam Freese , Alan Sosa

The form factors for the hadron matrix element of the QCD energy-momentum tensor not only describe the coupling of the hadron with a graviton as the ``gravitational form factors'', but also serve as unique quantities for describing the…

High Energy Physics - Phenomenology · Physics 2020-01-08 Kazuhiro Tanaka

We study the energy-momentum tensor of spin-$0$ and spin-$\frac{1}{2}$ hadrons in momentum space. We parametrize this object in terms of so-called gravitational transverse-momentum distributions, and we identify in the quark sector the…

High Energy Physics - Phenomenology · Physics 2023-06-22 Cédric Lorcé , Qin-Tao Song

The gravitational form factors of a hadron are defined through the matrix elements of the energy-momentum tensor current, which can be decomposed into the quark and gluonic parts, between the hadronic states. These form factors provide…

High Energy Physics - Phenomenology · Physics 2023-11-21 Z. Dehghan , K. Azizi , U. Özdem

The form factors of the energy-momentum tensor can be accessed via studies of generalized parton distributions in hard exclusive reactions. In this talk we present recent results on the energy-momentum tensor form factors and densities in…

High Energy Physics - Phenomenology · Physics 2019-07-30 M. J. Neubelt , A. Sampino , J. Hudson , K. Tezgin , P. Schweitzer

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

The internal structure of hadrons is characterized by form factors which correspond to matrix elements of currents. Among those, the stress-energy-momentum tensor is a universally conserved quantity providing the gravitational form factors,…

High Energy Physics - Phenomenology · Physics 2026-04-30 Enrique Ruiz Arriola , Wojciech Broniowski

The $\rho$ meson gravitational form factors are studied based on a light-front constituent quark model which has been successfully employed to calculate its generalized parton distributions and some low-energy observables. The distributions…

High Energy Physics - Phenomenology · Physics 2020-05-20 Bao-Dong Sun , Yu-Bing Dong

In this work, we find the light front densities for momentum and forces, including pressure and shear forces, within hadrons. This is achieved by deriving relativistically correct expressions relating these densities to the gravitational…

High Energy Physics - Phenomenology · Physics 2021-05-26 Adam Freese , Gerald A. Miller

The gravitational form factors (GFFs) of hadrons encode the matrix elements of the energy momentum tensor of QCD. These quantities describe how energy, spin, and various mechanical properties of hadrons are carried by their quark and gluon…

High Energy Physics - Lattice · Physics 2022-06-15 Dimitra A. Pefkou , Daniel C. Hackett , Phiala E. Shanahan

The gravitational form factors for a hadron, the form factors for the hadron matrix element of the QCD energy-momentum tensor, not only describe the coupling of the hadron with a graviton, but also serve as unique quantities for describing…

High Energy Physics - Phenomenology · Physics 2018-08-15 Kazuhiro Tanaka

The energy-momentum tensor form factors contain a wealth of information about the nucleon. It is insightful to visualize this information in terms of 3D or 2D densities related by Fourier transformations to the form factors. The densities…

High Energy Physics - Phenomenology · Physics 2019-07-19 Peter Schweitzer , Kemal Tezgin

We discuss in detail the distributions of energy, radial pressure and tangential pressure inside the nucleon. In particular, this discussion is carried on in both the instant form and the front form of dynamics. Moreover we show for the…

High Energy Physics - Phenomenology · Physics 2019-02-08 Cédric Lorcé , Hervé Moutarde , Arkadiusz P. Trawiński

The D-term is a fundamental particle property which is defined through the matrix elements of the energy-momentum tensor and as such in principle on equal footing with mass and spin. Yet the experimental information on the D-term of any…

High Energy Physics - Phenomenology · Physics 2018-01-19 Maxim V. Polyakov , Peter Schweitzer
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