Hadron Optics in Three-Dimensional Invariant Coordinate Space from Deeply VirtualCompton Scattering

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The Fourier transform of the deeply virtual Compton scattering amplitude (DVCS) with respect to the skewness parameter {zeta} = Q{sup 2}/2p {center_dot} q can be used to provide an image of the target hadron in the boost-invariant variable {sigma}, the coordinate conjugate to light-front time {tau} = t + z/c. As an illustration, we construct a consistent covariant model of the DVCS amplitude and its associated generalized parton distributions using the quantum fluctuations of a fermion state at one loop in QED, thus providing a representation of the light-front wave functions of a lepton in {sigma} space. A consistent model ... continued below

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46 pages

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Brodsky, S.J.; Chakrabarti, D.; Harindranath, A.; Mukherjee, A. & Vary, J.P. November 30, 2006.

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The Fourier transform of the deeply virtual Compton scattering amplitude (DVCS) with respect to the skewness parameter {zeta} = Q{sup 2}/2p {center_dot} q can be used to provide an image of the target hadron in the boost-invariant variable {sigma}, the coordinate conjugate to light-front time {tau} = t + z/c. As an illustration, we construct a consistent covariant model of the DVCS amplitude and its associated generalized parton distributions using the quantum fluctuations of a fermion state at one loop in QED, thus providing a representation of the light-front wave functions of a lepton in {sigma} space. A consistent model for hadronic amplitudes can then be obtained by differentiating the light-front wave functions with respect to the bound-state mass. The resulting DVCS helicity amplitudes are evaluated as a function of {sigma} and the impact parameter {rvec b}{sub {perpendicular}}, thus providing a light-front image of the target hadron in a frame-independent three-dimensional light-front coordinate space. Models for the LFWFs of hadrons in (3 + 1) dimensions displaying confinement at large distances and conformal symmetry at short distances have been obtained using the AdS/CFT method. We also compute the LFWFs in this model in invariant three dimensional coordinate space. We find that in the models studied, the Fourier transform of the DVCS amplitudes exhibit diffraction patterns. The results are analogous to the diffractive scattering of a wave in optics where the distribution in ? measures the physical size of the scattering center in a one-dimensional system.

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46 pages

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  • Journal Name: Submitted to Physical Review D

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  • Report No.: SLAC-PUB-12096
  • Grant Number: AC02-76SF00515
  • Office of Scientific & Technical Information Report Number: 895815
  • Archival Resource Key: ark:/67531/metadc878234

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Office of Scientific & Technical Information Technical Reports

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

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  • November 30, 2006

Added to The UNT Digital Library

  • Sept. 22, 2016, 2:13 a.m.

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  • Nov. 28, 2016, 7:31 p.m.

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Brodsky, S.J.; Chakrabarti, D.; Harindranath, A.; Mukherjee, A. & Vary, J.P. Hadron Optics in Three-Dimensional Invariant Coordinate Space from Deeply VirtualCompton Scattering, article, November 30, 2006; [Menlo Park, California]. (digital.library.unt.edu/ark:/67531/metadc878234/: accessed December 13, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.