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

DSpace at IIT Bombay

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Title Hadron optics in three-dimensional invariant coordinate space from deeply virtual Compton scattering
 
Creator BRODSKY, SJ
CHAKRABARTI, D
HARINDRANATH, A
MUKHERJEE, A
VARY, JP
 
Subject relativistic front description
paraxial-wave optics
inelastic scattering
parton distributions
qcd
spin
representation
momentum
protons
models
 
Description The Fourier transform of the deeply virtual Compton scattering amplitude (DVCS) with respect to the skewness parameter zeta=Q(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(perpendicular to), 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.
 
Publisher AMERICAN PHYSICAL SOC
 
Date 2011-07-17T14:47:28Z
2011-12-26T12:50:21Z
2011-12-27T05:41:08Z
2011-07-17T14:47:28Z
2011-12-26T12:50:21Z
2011-12-27T05:41:08Z
2007
 
Type Article
 
Identifier PHYSICAL REVIEW D, 75(1), -
1550-7998
http://dx.doi.org/10.1103/PhysRevD.75.014003
http://dspace.library.iitb.ac.in/xmlui/handle/10054/4759
http://hdl.handle.net/10054/4759
 
Language en