Chiral odd GPDs in transverse and longitudinal impact parameter spaces

Details Chiral odd GPDs in transverse and longitudinal impact parameter spaces Chiral odd GPDs in transverse and longitudinal impact parameter spaces

2008-11-04

arxiv.org/abs/0811.0521v2

Phys.Rev.D79:034006,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

1 figure and references added, typos corrected. version to appear in Phys.Rev.D

Scientific paper

10.1103/PhysRevD.79.034006

We investigate the chiral odd generalized parton distributions (GPDs) for non-zero skewness $\zeta$ in transverse and longitudinal position spaces by taking Fourier transform with respect to the transverse and longitudinal momentum transfer respectively. We present overlap formulas for the chiral-odd GPDs in terms of light-front wave functions (LFWFs) of the proton both in the ERBL and DGLAP regions. We calculate them in a field theory inspired model of a relativistic spin 1/2 composite state with the correct correlation between the different LFWFs in Fock space, namely that of the quantum fluctuations of an electron in a generalized form of QED. We show the spin-orbit correlation effect of the two-particle LFWF as well as the correlation between the constituent spin and the transverse spin of the target.

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