Hadron optics in three-dimensional invariant coordinate space from deeply virtual Compton scattering

Journal Article · Mon Jan 01 04:00:00 EST 2007 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.75.014003· OSTI ID:20933218

Brodsky, S J ^[1]; Chakrabarti, D ^[2]; Harindranath, A ^[3]; Mukherjee, A ^[4]; Vary, J P ^[1]

---

1. Stanford Linear Accelerator Center, Stanford University, Stanford, California 94309 (United States)
2. Department of Physics, University of Florida, Gainesville, Florida-32611-8440 (United States)
3. Saha Institute of Nuclear Physics, 1/AF Bidhannagar, Kolkata 700064 (India)
4. Department of Physics, Indian Institute of Technology, Powai, Mumbai 400076 (India)

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 (LFWFs) 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 b-vector{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 {sigma} measures the physical size of the scattering center in a one-dimensional system.

• OSTI ID: 20933218
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 1 Vol. 75; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ASYMMETRY
BEAM OPTICS
BOUND STATE
COMPTON EFFECT
CONFORMAL INVARIANCE
DIFFRACTION
FOURIER TRANSFORMATION
HADRONS
HELICITY
IMPACT PARAMETER
LEPTONS
MATHEMATICAL SPACE
QUANTUM ELECTRODYNAMICS
THREE-DIMENSIONAL CALCULATIONS
WAVE FUNCTIONS