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The Role of Mesons in the Electromagnetic Form Factors of the Nucleon
Nuclear Theory · Submitted 3 Mar 2010
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim While these Fourier transforms should not be interpreted as "charge distributions", nevertheless the roles played by the various mesons, especially which are dominant at large or small distance scales, can be explored via such experiment--theory comparisons.
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The roles played by mesons in the electromagnetic form factors of the nucleon are explored using as a basis a model containing vector mesons with coupling to the continuum together with the asymptotic $Q^2$ behavior of perturbative QCD. Specifically, the vector dominance model (GKex) developed by Lomon is employed, as it is known to be very successful in representing the existing high-quality data published to date. An analysis is made of the experimental uncertainties present when the differences between the GKex model and the data are expanded in orthonormal basis functions. A main motivation for the present study is to provide insight into how the various ingredients in this model yield the measured behavior, including discussions of when dipole form factors are to be expected or not, of which mesons are the major contributors, for instance, at low-$Q^2$ or large distances, and of what effects are predicted from coupling to the continuum. Such insights are first discussed in momentum space, followed by an analysis of how different and potentially useful information emerges when both the experimental and theoretical electric form factors are Fourier transformed to coordinate space. While these Fourier transforms should not be interpreted as "charge distributions", nevertheless the roles played by the various mesons, especially which are dominant at large or small distance scales, can be explored via such experiment--theory comparisons.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The roles played by mesons in the electromagnetic form factors of the nucleon are explored using as a basis a model containing vector mesons with coupling to the continuum together with the asymptotic $Q^2$ behavior of perturbative QCD. | contribution 0.52 | 0.73 | 0.07 | asserted 0.95 |
| s1 | Specifically, the vector dominance model (GKex) developed by Lomon is employed, as it is known to be very successful in representing the existing high-quality data published to date. | method 0.93 | 0.07 | 0.03 | asserted 0.99 |
| s2 | An analysis is made of the experimental uncertainties present when the differences between the GKex model and the data are expanded in orthonormal basis functions. | method 0.79 | 0.84 | 0.03 | asserted 0.80 |
| s3 | A main motivation for the present study is to provide insight into how the various ingredients in this model yield the measured behavior, including discussions of when dipole form factors are to be expected or not, of which mesons are the major contributors, for instance, at low-$Q^2$ or large distances, and of what effects are predicted from coupling to the continuum. | contribution 0.92 | 0.48 | 0.09 | asserted 0.78 |
| s4 | Such insights are first discussed in momentum space, followed by an analysis of how different and potentially useful information emerges when both the experimental and theoretical electric form factors are Fourier transformed to coordinate space. | method 0.86 | 0.77 | 0.05 | asserted 0.79 |
| s5 | While these Fourier transforms should not be interpreted as "charge distributions", nevertheless the roles played by the various mesons, especially which are dominant at large or small distance scales, can be explored via such experiment--theory comparisons. | limitation 0.58 | 0.41 | 0.13 | hedged possibility 0.72 |
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The paper
Original abstract
The roles played by mesons in the electromagnetic form factors of the nucleon are explored using as a basis a model containing vector mesons with coupling to the continuum together with the asymptotic $Q^2$ behavior of perturbative QCD. Specifically, the vector dominance model (GKex) developed by Lomon is employed, as it is known to be very successful in representing the existing high-quality data published to date. An analysis is made of the experimental uncertainties present when the differences between the GKex model and the data are expanded in orthonormal basis functions. A main motivation for the present study is to provide insight into how the various ingredients in this model yield the measured behavior, including discussions of when dipole form factors are to be expected or not, of which mesons are the major contributors, for instance, at low-$Q^2$ or large distances, and of what effects are predicted from coupling to the continuum. Such insights are first discussed in momentum space, followed by an analysis of how different and potentially useful information emerges when both the experimental and theoretical electric form factors are Fourier transformed to coordinate space. While these Fourier transforms should not be interpreted as "charge distributions", nevertheless the roles played by the various mesons, especially which are dominant at large or small distance scales, can be explored via such experiment--theory comparisons.
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References
How the literature uses it
8 arXiv papers cite this in 9 sentences
Papers citing it · 6 sentences without a confident label
Uses its method or tool 1 paper
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In addition, the program provides the option of choosing between two models for computing the nucleon form factors, namely, a simple model which gives a reasonable starting point for e-p studies and the vector meson dominance plus pQCD GKex model which yields good agreement with most of the World form factor data (see [ref] and references cited therein for details).
Polarized e-p Elastic Scattering in the Collider Frame · Typical Results for e-p Scattering in Collider Kinematics · 0.82
Uses its data or values 1 paper
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Nine sets of data have been considered, six of them lie in the space-like region [ref] and three in the time-like region [ref] .
Time-like and space-like electromagnetic form factors of nucleons, a unified description · Results · 1.00
Cites it as background 1 paper
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This has led to a significant amount of theoretical work aimed at describing these form factors, such as dispersion theory analysis [ref] , vector meson exchange/dominance [ref] and polynomial fits based on the Kelly parametrization [ref] .
Dirac and Pauli form factors from lattice QCD · Introduction · 0.92
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