Realizing vector meson dominance with transverse charge densities

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The transverse charge density in a fast-moving nucleon is represented as a dispersion integral of the imaginary part of the Dirac form factor in the timelike region (spectral function). At a given transverse distance b the integration effectively extends over energies in a range {radical}t {approx}< 1/b, with exponential suppression of larger values. The transverse charge density at peripheral distances thus acts as a low-pass filter for the spectral function and allows one to select energy regions dominated by specific t-channel states, corresponding to definite exchange mechanisms in the spacelike form factor. We show that distances b {approx} 0.5 - ... continued below

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045205 (14 pages)

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Gerald Miller, Mark Strikman, Christian Weiss October 1, 2011.

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The transverse charge density in a fast-moving nucleon is represented as a dispersion integral of the imaginary part of the Dirac form factor in the timelike region (spectral function). At a given transverse distance b the integration effectively extends over energies in a range {radical}t {approx}< 1/b, with exponential suppression of larger values. The transverse charge density at peripheral distances thus acts as a low-pass filter for the spectral function and allows one to select energy regions dominated by specific t-channel states, corresponding to definite exchange mechanisms in the spacelike form factor. We show that distances b {approx} 0.5 - 1.5 fm in the isovector density are maximally sensitive to the {rho} meson region, with only a {approx}10% contribution from higher-mass states. Soft-pion exchange governed by chiral dynamics becomes relevant only at larger distances. In the isoscalar density higher-mass states beyond the {omega} are comparatively more important. The dispersion approach suggests that the positive transverse charge density in the neutron at b {approx} 1 fm, found previously in a Fourier analysis of spacelike form factor data, could serve as a sensitive test of the isoscalar strength in the {approx}1 GeV mass region. In terms of partonic structure, the transverse densities in the vector meson region b {approx} 1 fm support an approximate mean-field picture of the motion of valence quarks in the nucleon.

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045205 (14 pages)

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  • Journal Name: Physical Review, C (Nuclear Physics); Journal Volume: 84; Journal Issue: 4

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  • Report No.: JLAB-THY-11-1377
  • Report No.: DOE/OR/23177-1694
  • Report No.: arXiv:1105.6364
  • Grant Number: AC05-06OR23177
  • DOI: 10.1103/PhysRevC.84.045205 | External Link
  • Office of Scientific & Technical Information Report Number: 1035548
  • Archival Resource Key: ark:/67531/metadc845027

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Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

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  • October 1, 2011

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  • May 19, 2016, 3:16 p.m.

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  • Aug. 3, 2016, 7:05 p.m.

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Gerald Miller, Mark Strikman, Christian Weiss. Realizing vector meson dominance with transverse charge densities, article, October 1, 2011; Newport News, Virginia. (digital.library.unt.edu/ark:/67531/metadc845027/: accessed December 11, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.