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

Journal Article · Fri Nov 10 04:00:00 EST 2006 · Physical Review D, vol. 75, N/A, January 1, 2007, pp. 14003

OSTI ID:900187

Brodsky, S J; Chakrabarti, D; Harindranath, A; Mukherjee, A; Vary, J P

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 wavefunctions of a lepton in {sigma} space. A consistent model for hadronic amplitudes can then be obtained by differentiating the light-front wavefunctions 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 ''photograph'' of the target hadron in a frame-independent three-dimensional light-front 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 {sigma} measures the physical size of the scattering center in a one-dimensional system.

• Research Organization: Lawrence Livermore National Laboratory (LLNL), Livermore, CA
• Sponsoring Organization: USDOE
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 900187
• Report Number(s): UCRL-JRNL-226236
• Journal Information: Physical Review D, vol. 75, N/A, January 1, 2007, pp. 14003, Journal Name: Physical Review D, vol. 75, N/A, January 1, 2007, pp. 14003
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
ASYMMETRY
BOUND STATE
COMPTON EFFECT
DIFFRACTION
FERMIONS
FLUCTUATIONS
HADRONS
HELICITY
IMPACT PARAMETER
LEPTONS
OPTICS
SCATTERING
STATISTICS
TARGETS