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Title: Chiral-odd generalized parton distributions in transverse and longitudinal impact parameter spaces

Abstract

We investigate the chiral-odd generalized parton distributions for nonzero 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 generalized parton distributions in terms of light-front wave functions (LFWFs) of the proton both in the Efremov-Radyushkin-Brodsky-Lepage and Dokshitzer-Gribov-Lipatov-Altarelli-Parisi 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.

Authors:
 [1]; ;  [2]
  1. Department of Physics, Swansea University, Singleton Park, Swansea SA2 8PP (United Kingdom)
  2. Department of Physics, Indian Institute of Technology, Powai, Mumbai 400076 (India)
Publication Date:
OSTI Identifier:
21259892
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 79; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevD.79.034006; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ASYMMETRY; CHIRALITY; CORRELATIONS; DISTRIBUTION; ELECTRONS; FLUCTUATIONS; FOURIER TRANSFORMATION; IMPACT PARAMETER; LONGITUDINAL MOMENTUM; ORBITS; PARTICLES; PROTONS; QUANTUM ELECTRODYNAMICS; RELATIVISTIC RANGE; SPIN; STATISTICS; WAVE FUNCTIONS

Citation Formats

Chakrabarti, D, Manohar, R, and Mukherjee, A. Chiral-odd generalized parton distributions in transverse and longitudinal impact parameter spaces. United States: N. p., 2009. Web. doi:10.1103/PHYSREVD.79.034006.
Chakrabarti, D, Manohar, R, & Mukherjee, A. Chiral-odd generalized parton distributions in transverse and longitudinal impact parameter spaces. United States. https://doi.org/10.1103/PHYSREVD.79.034006
Chakrabarti, D, Manohar, R, and Mukherjee, A. Sun . "Chiral-odd generalized parton distributions in transverse and longitudinal impact parameter spaces". United States. https://doi.org/10.1103/PHYSREVD.79.034006.
@article{osti_21259892,
title = {Chiral-odd generalized parton distributions in transverse and longitudinal impact parameter spaces},
author = {Chakrabarti, D and Manohar, R and Mukherjee, A},
abstractNote = {We investigate the chiral-odd generalized parton distributions for nonzero 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 generalized parton distributions in terms of light-front wave functions (LFWFs) of the proton both in the Efremov-Radyushkin-Brodsky-Lepage and Dokshitzer-Gribov-Lipatov-Altarelli-Parisi 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.},
doi = {10.1103/PHYSREVD.79.034006},
url = {https://www.osti.gov/biblio/21259892}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 3,
volume = 79,
place = {United States},
year = {2009},
month = {2}
}