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Related papers: Operator Relations for Gravitational Form Factors

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Interaction with external gravitational field is introduced into a nonlocal quark model using the equivalence principle. This allows to define the energy-momentum tensor in flat space and evaluate its hadronic matrix element with external…

High Energy Physics - Phenomenology · Physics 2025-07-09 Vladimir Voronin

We analyze the hard scattering amplitude of the gravitational form factors (GFFs) of hadrons at one-loop, in relation to their conformal field theory (CFT) description, within the framework of QCD factorization for hard exclusive processes…

High Energy Physics - Phenomenology · Physics 2025-03-18 Claudio Corianò , Stefano Lionetti , Dario Melle , Riccardo Tommasi

Inspired by the recent near-threshold $J/\psi$ photoproduction measurements, we discuss gluon gravitational form factors (GFFs) and internal properties of the proton. This work presents a complete analysis of the proton gluon GFFs…

High Energy Physics - Phenomenology · Physics 2023-06-02 Xiao-Yun Wang , Fancong Zeng , Quanjin Wang

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

The gravitational form factors (GFFs) of pions are calculated from a top-down holographic quantum chromodynamics (QCD) approach with momentum transfer dependence for the first time. It is important because the GFFs of hadrons have…

High Energy Physics - Phenomenology · Physics 2024-11-13 Daisuke Fujii , Akihiro Iwanaka , Mitsuru Tanaka

We extend our relativistic theory of electroweak properties of composite systems to describe simultaneously the gravitational form factors of hadrons. The approach is based on a version of the instant-form relativistic quantum mechanics and…

High Energy Physics - Phenomenology · Physics 2021-02-04 A. F. Krutov , V. E. Troitsky

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

We formulate a partonic description of hadronic gravitational form factors within QCD, focusing on the three-point function of the energy-momentum tensor and two gluon currents. Despite the lack of exact conformal symmetry in QCD, the…

High Energy Physics - Phenomenology · Physics 2026-03-31 Claudio Corianò , Stefano Lionetti , Dario Melle , Leonardo Torcellini

We compute the gluonic contribution to the gravitational form factors of the proton using the improved holographic QCD model, in which the proton is described in terms of bulk Dirac fermions. Model parameters are constrained using lattice…

High Energy Physics - Theory · Physics 2026-02-26 Antti Hippeläinen , Niko Jokela , Matti Järvinen

We calculate the stress tensor, or energy-momentum tensor, form factors of the pion and of axial vector mesons in the chiral limit of a hard wall AdS/CFT model of QCD. One (of the two) pion gravitational form factors is directly related to…

High Energy Physics - Phenomenology · Physics 2008-11-26 Zainul Abidin , Carl E. Carlson

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 employ the quark part of the symmetric energy-momentum tensor current to calculate the transition gravitational form factors of the $N(1535) \rightarrow N$ by means of the light cone QCD sum rule formalism. In numerical analysis, we use…

High Energy Physics - Phenomenology · Physics 2020-04-01 U. Özdem , K. Azizi

The gravitational form factors are related to the matrix elements of the energy-momentum tensor $T^{\mu\nu}$. Using the light front wave functions of the scalar quark-diquark model for nucleon predicted by the soft-wall AdS/QCD, we…

High Energy Physics - Phenomenology · Physics 2015-06-24 Dipankar Chakrabarti , Chandan Mondal , Asmita Mukherjee

A unified set of predictions for pion, kaon and nucleon gravitational form factors is obtained using a symmetry-preserving truncation of each relevant quantum field equation. A crucial aspect of the study is the self-consistent…

High Energy Physics - Phenomenology · Physics 2025-04-01 Zhao-Qian Yao , Yin-Zhen Xu , Daniele Binosi , Minghui Ding , Zhu-Fang Cui , Khépani Raya , Craig D. Roberts , José Rodríguez-Quintero

We calculate gravitational form factors of vector mesons using a holographic model of QCD. These provide restrictions on the generalized parton distributions of vector mesons, via the sum rules connecting stress tensor form factors to GPDs.…

High Energy Physics - Phenomenology · Physics 2008-11-26 Zainul Abidin , Carl E. Carlson

It is known that the trace anomaly in the QCD energy-momentum tensor $T^{\mu \nu}$ can be attributed to the anomalies for each of the gauge-invariant quark part and gluon part of $T^{\mu \nu}$, and their explicit three-loop formulas have…

High Energy Physics - Phenomenology · Physics 2023-03-22 Kazuhiro Tanaka

We investigate the hard scatterings of hadronic matrix elements corresponding to hadronic gravitational form factors (GFFs) of the pion and proton using QCD factorization, applying conformal field theory (CFT) tools. These GFFs are key to…

High Energy Physics - Phenomenology · Physics 2025-05-01 Claudio Corianò , Stefano Lionetti , Dario Melle , Riccardo Tommasi , Leonardo Torcellini

Proton matrix elements of the QCD energy-momentum tensor (EMT) are expressed by the gravitational form factors. The forward values of the gravitational form factors allow for a decomposition of the proton mass into contributions from quarks…

High Energy Physics - Phenomenology · Physics 2026-03-18 Kazuhiro Tanaka

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

Given the unique role played by the gravitational form factors (GFFs) in unraveling the internal mechanics of hadrons, we examine the GFFs of ground state pseudoscalar mesons $\pi$, $\eta_c$, $\eta_b$ and the hypothetical {\em strangeonium}…

High Energy Physics - Phenomenology · Physics 2024-08-30 M. Atif Sultan , Zanbin Xing , Khépani Raya , Adnan Bashir , Lei Chang