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arXiv · 0811.0521

Chiral odd GPDs in transverse and longitudinal impact parameter spaces

D. Chakrabarti·R. Manohar·A. Mukherjee
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Abstract

We investigate the chiral odd generalized parton distributions (GPDs) for non-zero skewness $ζ$ 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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D. Chakrabarti, R. Manohar, A. Mukherjee. 2009-02-04. Chiral odd GPDs in transverse and longitudinal impact parameter spaces. https://doi.org/10.1103/physrevd.79.034006

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