IMPACT PARAMETER SPACE INTERPRETATION FOR GENERALIZED PARTON DISTRIBUTIONS
By M. Burkardt. 2002
443 citations recorded by the source corpus.
The Fourier transform of generalized parton distribution functions at ξ = 0 describes the distribution of partons in the transverse plane. The physical significance of these impact parameter dependent parton distribution functions is discussed. In particular, it is shown that they satisfy positivity constraints which justify their physical interpretation as a probability density. The generalized parton distribution H is related to impact parameter distribution of unpolarized quarks for an unpolarized nucleon, $\tilde{H}$ is related to the distribution of longitudinally polarized quarks in a longitudinally polarized nucleon, and E is related to the distortion of the unpolarized quark distribution in the transverse plane when the nucleon has transverse polarization. The magnitude of the resulting transverse flavor dipole moment can be related to the anomalous magnetic moment for that flavor in a model independent way.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/bd56f9d0e5c4e8b23e0280045c11dc4457dea304
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In Nuclear and High Energy Physics
- Atlas Collaboration
- Iain W. Stewart
- M. Diehl
- M. Constantinou
- Cms Collaboration
- Andreas Schäfer
- D. Ostermeier
- I. Scimemi
Citations in the corpus
- Generalized parton correlation functions for a spin-0 hadron (2008, background): “In particular, when being transformed to the impact parameter space, GPDs contain information about the spatial distribution of partons in a plane perpendicular to the hadron momentum [6, 7, 8, 9].”
- Science Requirements and Detector Concepts for the Electron-Ion Collider (2021, background): “In addition to the fundamental role of GPDs concerning the spatial distribution of partons inside hadrons [20], the second moment of particular sets of GPDs will provide more in-depth insight into the total angular momentum of quarks and gluons in the proton [21].”
- Elements of a theory for multiparton interactions in QCD (2011, methodology): “Changing the basis of the proton spin states, one can see that Eq is related to unpolarized quarks in a transversely polarized proton [66].”