Impact parameter dependent parton distributions and off-forward parton distributions for ζ→0

Burkardt, Matthias

doi:10.1103/physrevd.62.071503

Cited by 570 publications

(197 citation statements)

References 8 publications

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“…In this sense, the Sachs form factors are not directly related to charge distributions and the definitions (4.42) only reflect a generic measure for the size of a hadron. On the other hand, an unambiguous interpretation can be found in the infinite momentum frame: there, the Dirac form factor F 1 (Q 2 ) is the two-dimensional Fourier transform of the transverse charge distribution, and the resulting transverse charge densities are positive for the proton and negative for the neutron at the center [564][565][566].…”

Section: Nucleon Electromagnetic Form Factorsmentioning

confidence: 99%

Baryons as relativistic three-quark bound states

Eichmann

Sanchis-Alepuz

Williams

et al. 2016

Progress in Particle and Nuclear Physics

421

530

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We review the spectrum and electromagnetic properties of baryons described as relativistic three-quark bound states within QCD. The composite nature of baryons results in a rich excitation spectrum, whilst leading to highly non-trivial structural properties explored by the coupling to external (electromagnetic and other) currents. Both present many unsolved problems despite decades of experimental and theoretical research. We discuss the progress in these fields from a theoretical perspective, focusing on nonperturbative QCD as encoded in the functional approach via Dyson-Schwinger and Bethe-Salpeter equations. We give a systematic overview as to how results are obtained in this framework and explain technical connections to lattice QCD. We also discuss the mutual relations to the quark model, which still serves as a reference to distinguish 'expected' from 'unexpected' physics. We confront recent results on the spectrum of non-strange and strange baryons, their form factors and the issues of two-photon processes and Compton scattering determined in the DysonSchwinger framework with those of lattice QCD and the available experimental data. The general aim is to identify the underlying physical mechanisms behind the plethora of observable phenomena in terms of the underlying quark and gluon degrees of freedom.

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Section: Nucleon Electromagnetic Form Factorsmentioning

confidence: 99%

Baryons as relativistic three-quark bound states

Eichmann

Sanchis-Alepuz

Williams

et al. 2016

Progress in Particle and Nuclear Physics

421

530

View full text Add to dashboard Cite

show abstract

“…The range of integration in Eq. (2.1) must be restricted to |p| p + to maintain the interpretation of a nucleon moving with well-defined longitudinal momentum [7]. Thus we use the infinite momentum frame.…”

Section: Pos(lc2008)025mentioning

confidence: 99%

“…(2.1) sets the transverse center of momentum of a state of total very large momentum p + to zero, so that transverse distance b relative to R. can be defined. Thus one defines a useful combination of quark-field operators [7]:…”

Section: Pos(lc2008)025mentioning

confidence: 99%

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Model independent results for nucleon structure

Miller¹

2009

Proceedings of LIGHT CONE 2008 Relativistic Nuclear and Particle Physics — PoS(LC2008)

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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 independent results regarding the neutron and proton charge density, and the proton magnetization density are presented. Finally, I show how the spin-dependent densities that reveal the shape of the proton can be measured via their relation with transverse momentum distributions. The present work is made possible by the recent tremendous experimental progress made at Bates, Mainz and Jefferson Laboratory.

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“…These distributions relate to the total angular momentum of partons in the nucleon [4] and information on the parton's transverse location in the nucleon correlated with the fraction of the nucleon's longitudinal momentum carried by that parton [5]. The GPDs that have thus far attracted the most interest parametrize the nonperturbative part of hard exclusive reactions where the target system stays intact such as ep → eγp.…”

Section: Introductionmentioning

confidence: 99%

Beam-helicity asymmetry in associated electroproduction of real photons ep → eγπN in the Δ-resonance region

Airapetian¹,

Акопов²,

Aschenauer³

et al. 2014

J. High Energ. Phys.

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Abstract:The beam-helicity asymmetry in associated electroproduction of real photons, ep → eγπN , in the ∆(1232)-resonance region is measured using the longitudinally polarized Hera positron beam and an unpolarized hydrogen target. Azimuthal Fourier amplitudes of this asymmetry are extracted separately for two channels, ep → eγπ 0 p and ep → eγπ + n, from a data set collected with a recoil detector. All asymmetry amplitudes are found to be consistent with zero.

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Impact parameter dependent parton distributions and off-forward parton distributions for ζ→0

Abstract: It is shown that the off-forward parton distribution for ϭ0, i.e., where the initial and final states differ only in their transverse momenta, can be interpreted as a simultaneous measurement of the longitudinal momentum and transverse position of partons in the infinite momentum frame.

Cited by 570 publications

References 8 publications

Baryons as relativistic three-quark bound states

Baryons as relativistic three-quark bound states

Model independent results for nucleon structure

Beam-helicity asymmetry in associated electroproduction of real photons ep → eγπN in the Δ-resonance region

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