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The energy-momentum tensor (EMT) of the proton encodes fundamental information about its mass, pressure, and shear distributions. Using recent lattice QCD data for the gravitational form factors, we show that the Breit-frame Wigner EMT may…

High Energy Physics - Phenomenology · Physics 2025-11-07 Adrian Dumitru , Jorge Noronha

We emphasise the relation between the spin structure of the proton and the axial U(1) problem. New experiments motivated by the proton spin problem which could shed light on the nature of U(1) symmetry breaking in QCD are discussed.

High Energy Physics - Phenomenology · Physics 2009-11-07 Steven D. Bass

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

I review recent results regarding the nucleon charge and magnetization densities as well as the shape of the nucleon. First, some phenomenolgical considerations that show that the shape of the proton is not round are discussed. Then model…

Nuclear Theory · Physics 2009-02-19 Gerald A Miller

The physics of the gravitational form factors of the proton, and their understanding within quantum chromodynamics, has advanced significantly in the past two decades through both theory and experiment. This Colloquium provides an overview…

High Energy Physics - Phenomenology · Physics 2024-01-17 V. D. Burkert , L. Elouadrhiri , F. X. Girod , C. Lorce , P. Schweitzer , P. E. Shanahan

A puzzling discrepancy exists between the values of the proton charge radius obtained using different experimental techniques: elastic electron-proton scattering and spectroscopy of electronic and muonic hydrogen. The proton radius is…

Nuclear Experiment · Physics 2022-03-07 Alexander V. Gramolin , Rebecca L. Russell

Background: The "proton radius puzzle" refers to an eight-year old problem that highlights major inconsistencies in the extraction of the charge radius of the proton from muonic Lamb-shift experiments as compared against experiments using…

Nuclear Theory · Physics 2019-05-22 Shuang Zhou , P. Giuliani , J. Piekarewicz , Anirban Bhattacharya , Debdeep Pati

This article reviews our present understanding of QCD spin physics: the proton spin puzzle and new developments aimed at understanding the transverse structure of the nucleon. We discuss present experimental investigations of the nucleon's…

High Energy Physics - Phenomenology · Physics 2015-06-11 Christine A. Aidala , Steven D. Bass , Delia Hasch , Gerhard K. Mallot

The dynamical entropy of dense gluonic states in proton-proton collisions at high energies is studied by using phenomenological models for the unintegrated gluon distribution. The corresponding transverse momentum probability distributions…

High Energy Physics - Phenomenology · Physics 2022-05-25 G. S. Ramos , M. V. T. Machado

We present lattice-QCD results for the electromagnetic form factors of the proton and neutron including both quark-connected and -disconnected contributions. The parametrization of the $Q^2$-dependence of the form factors is combined with…

High Energy Physics - Lattice · Physics 2024-05-24 Dalibor Djukanovic , Georg von Hippel , Harvey B. Meyer , Konstantin Ottnad , Miguel Salg , Hartmut Wittig

A model proton wave function, constructed using Poincare invariance, and constrained by recent electromagnetic form factor data, is used to study the shape of the proton. Spin-dependent quark densities are defined as matrix elements of…

Nuclear Theory · Physics 2009-11-10 Gerald A. Miller

This is a review of recent developments in hadron structure within the framework of Lattice QCD. The main focus is on recent achievements in the evaluation of nucleon quantities, such as the axial charge, electromagnetic form factors, the…

High Energy Physics - Lattice · Physics 2014-11-04 Martha Constantinou

Since the announcement of the proton spin crisis by the European Muon Collaboration there has been considerable progress in unravelling the distribution of spin and orbital angular momentum within the proton. We review the current status of…

High Energy Physics - Phenomenology · Physics 2009-08-03 A. W. Thomas

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

The proton is a fundamental constituent of matter. It is an extended object with finite size that can be inferred with some degree of accuracy from several measurements. Using constraints from the analytic behavior of the form factors we…

High Energy Physics - Phenomenology · Physics 2015-11-03 Joydeep Roy , Zachary Epstein , Gil Paz

This paper contains three parts relating to the nucleon spin structure in a simple picture of the nucleon: (i) The polarized gluon distribution in the proton is dynamically predicted starting from a low scale by using a nonlinear QCD…

High Energy Physics - Phenomenology · Physics 2015-10-14 Wei Zhu , Jianhong Ruan

This colloquium addresses the issue of the shape of hadrons and in particular that of the proton. The concept of shape in the microcosm is critically examined. Special attention is devoted to properly define the meaning of shape for…

High Energy Physics - Phenomenology · Physics 2012-01-24 C. Alexandrou , C. N. Papanicolas , M. Vanderhaeghen

The charm quark structure function $F^c_2$ and the longitudinal structure function $F_l^p$ are directly sensitive to the gluon content of proton and therefore are crucial in understanding of proton structure function, in particular at low…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Modarres , M. M. Yazdanpanah

The accurate description of the internal structure of hadrons is a very challenging task. In order to compare the predictions with the highly-accurate experimental data, it is necessary to control any possible source of theoretical…

High Energy Physics - Phenomenology · Physics 2021-10-13 David F. Rentería-Estrada , Roger J. Hernández-Pinto , German F. R. Sborlini

Visible matter is characterised by a single mass scale; namely, the proton mass. The proton's existence and structure are supposed to be described by quantum chromodynamics (QCD); yet, absent Higgs boson couplings, chromodynamics is scale…

High Energy Physics - Phenomenology · Physics 2023-01-16 Minghui Ding , Craig D. Roberts , Sebastian M. Schmidt
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