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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

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

We review some of the recent developments regarding mass, angular momentum and pressure forces inside hadrons. These properties are all encoded in the energy-momentum tensor of the system, which is described at the non-perturbative level in…

High Energy Physics - Phenomenology · Physics 2021-02-03 Cédric Lorcé

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

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 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 hadron physics community has been actively debating the interpretation of so-called mechanical properties of hadrons. Non-relativistic quantum-mechanical systems like the hydrogen atom have been appealed to in these debates as…

High Energy Physics - Phenomenology · Physics 2025-09-03 Adam Freese

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

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 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

We calculate the gravitational form factors (GFFs) and pressure, shear and energy distributions for a quark state dressed with a gluon at one loop in QCD. We use the light-front Hamiltonian approach. In the light-front gauge, we use a…

High Energy Physics - Phenomenology · Physics 2022-04-06 Jai More , Asmita Mukherjee , Sreeraj Nair , Sudeep Saha

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

The quark parts of the gravitational form factors of hyperons are calculated by means of the light-cone QCD sum rule. In the calculations, the distribution amplitudes (DAs) of $\Sigma$, $\Xi$ and $\Lambda$ together with the general forms of…

High Energy Physics - Phenomenology · Physics 2020-07-01 U. Özdem , K. Azizi

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

We investigate the gravitational form factors of charmonium. Our method is based on a Hamiltonian formalism on the light front known as basis light-front quantization. The charmonium mass spectrum and light-front wave functions were…

High Energy Physics - Phenomenology · Physics 2024-08-20 Siqi Xu , Xianghui Cao , Tianyang Hu , Yang Li , Xingbo Zhao , James P. Vary

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 electron-graviton interaction can be described in terms of the gravitational form factors of the QED energy momentum tensor. Here we focus on the form factor D(t), and we examine its properties and its interpretation in terms of…

High Energy Physics - Phenomenology · Physics 2021-07-14 Andreas Metz , Barbara Pasquini , Simone Rodini

We define the form factors of the quark and gluon symmetric energy-momentum tensor (EMT). The static EMT is related to the spatial distributions of energy, spin, pressure and shear forces. They are obtained in the form of a multipole…

High Energy Physics - Phenomenology · Physics 2019-08-21 Maxim V. Polyakov , Bao-Dong Sun

The gravitational form factors (GFFs) of a hadron encode fundamental aspects of its structure, including its shape and size as defined from e.g., its energy density. This work presents a determination of the flavor decomposition of the GFFs…

High Energy Physics - Lattice · Physics 2024-06-25 Daniel C. Hackett , Dimitra A. Pefkou , Phiala E. Shanahan

As a realistic model of a quantum system of matter, this paper investigates the gravitational-wave effects on a hydrogen-like atom. By formulating the tetrad formalism of linearized gravity, we naturally incorporate the gravitational-wave…

General Relativity and Quantum Cosmology · Physics 2024-10-24 Bo-Hung Chen , Dah-Wei Chiou
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