Chiral odd GPDs in transverse and longitudinal impact parameter spaces
Abstract
We investigate the chiral odd generalized parton distributions (GPDs) for non-zero skewness 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.
Cite
@article{arxiv.0811.0521,
title = {Chiral odd GPDs in transverse and longitudinal impact parameter spaces},
author = {D. Chakrabarti and R. Manohar and A. Mukherjee},
journal= {arXiv preprint arXiv:0811.0521},
year = {2009}
}
Comments
1 figure and references added, typos corrected. version to appear in Phys.Rev.D