Hadron Optics: Diffraction Patterns in Deeply Virtual Compton Scattering

Journal Article · Tue May 16 00:00:00 EDT 2006 · Physical Review D

DOI:https://doi.org/10.1016/j.physletb.2006.08.061· OSTI ID:882421

Brodsky, S

We show that the Fourier transform of the Deeply Virtual Compton Scattering (DVCS) amplitude with respect to the skewness variable {zeta} provides a unique way to visualize the light-front wavefunctions (LFWFs) of the target state in the boost-invariant longitudinal coordinate space variable ({sigma} = P{sup +}y{sup -}/2). The results are analogous to the diffractive scattering of a wave in optics in which the dependence of the amplitude on {sigma} measures the physical size of the scattering center of a one-dimensional system. If one combines this longitudinal transform with the Fourier transform of the DVCS amplitude with respect to the transverse momentum transfer {Delta}{sup {perpendicular}}, one can obtain a complete three-dimensional description of hadron optics at fixed light-front time {tau} = t + z/c. As a specific example, we utilize the quantum fluctuations of a fermion state at one loop in QED to obtain the behavior of the DVCS amplitude for electron-photon scattering. We then simulate the wavefunctions for a hadron by differentiating the above LFWFs with respect to M{sup 2} and study the corresponding DVCS amplitudes in {sigma} space.

• Research Organization: Stanford Linear Accelerator Center (SLAC)
• Sponsoring Organization: USDOE
• DOE Contract Number: AC02-76SF00515
• OSTI ID: 882421
• Report Number(s): SLAC-PUB-11615
• Journal Information: Physical Review D, Journal Name: Physical Review D
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
ASYMMETRY
COMPTON EFFECT
DIFFRACTION
DISTRIBUTION
FERMIONS
FLUCTUATIONS
HADRONS
HEPPH
HEPTH
OPTICS
SCATTERING
STATISTICS
TARGETS
TRANSVERSE MOMENTUM