Transverse deformation of parton distributions and transversity decomposition of angular momentum
Abstract
Impact parameter dependent parton distributions are transversely distorted when one considers transversely polarized nucleons and/or quarks. This provides a physical mechanism for the Todd Sivers effect in semiinclusive deepinelastic scattering. The transverse distortion can also be connected with Ji's quark angular momentum relation. The distortion of chirally odd impact parameter dependent parton distributions is related to chirally odd generalized parton distributions (GPDs). This result is used to provide a decomposition of the quark angular momentum with respect to (w.r.t.) quarks of definite transversity. Chirally odd GPDs can thus be used to determine the correlation between quark spin and quark angular momentum in unpolarized nucleons. Based on the transverse distortion, we also suggest a qualitative connection between chirally odd GPDs and the BoerMulders effect.
 Authors:
 Department of Physics, New Mexico State University, Las Cruces, New Mexico 880030001 (United States)
 Publication Date:
 OSTI Identifier:
 20713834
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physical Review. D, Particles Fields; Journal Volume: 72; Journal Issue: 9; Other Information: DOI: 10.1103/PhysRevD.72.094020; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CHIRAL SYMMETRY; CORRELATIONS; DEEP INELASTIC SCATTERING; DISTRIBUTION; IMPACT PARAMETER; NUCLEONS; POLARIZATION; SEMIINCLUSIVE INTERACTIONS; SPIN; T QUARKS
Citation Formats
Burkardt, Matthias. Transverse deformation of parton distributions and transversity decomposition of angular momentum. United States: N. p., 2005.
Web. doi:10.1103/PhysRevD.72.094020.
Burkardt, Matthias. Transverse deformation of parton distributions and transversity decomposition of angular momentum. United States. doi:10.1103/PhysRevD.72.094020.
Burkardt, Matthias. Tue .
"Transverse deformation of parton distributions and transversity decomposition of angular momentum". United States.
doi:10.1103/PhysRevD.72.094020.
@article{osti_20713834,
title = {Transverse deformation of parton distributions and transversity decomposition of angular momentum},
author = {Burkardt, Matthias},
abstractNote = {Impact parameter dependent parton distributions are transversely distorted when one considers transversely polarized nucleons and/or quarks. This provides a physical mechanism for the Todd Sivers effect in semiinclusive deepinelastic scattering. The transverse distortion can also be connected with Ji's quark angular momentum relation. The distortion of chirally odd impact parameter dependent parton distributions is related to chirally odd generalized parton distributions (GPDs). This result is used to provide a decomposition of the quark angular momentum with respect to (w.r.t.) quarks of definite transversity. Chirally odd GPDs can thus be used to determine the correlation between quark spin and quark angular momentum in unpolarized nucleons. Based on the transverse distortion, we also suggest a qualitative connection between chirally odd GPDs and the BoerMulders effect.},
doi = {10.1103/PhysRevD.72.094020},
journal = {Physical Review. D, Particles Fields},
number = 9,
volume = 72,
place = {United States},
year = {Tue Nov 01 00:00:00 EST 2005},
month = {Tue Nov 01 00:00:00 EST 2005}
}

The forward limit of the chiralodd generalized parton distributions (GPDs) and their lower moments are investigated within the framework of the chiral quark soliton model (CQSM), with particular emphasis on the transversity decomposition of nucleon angular momentum proposed by Burkardt. A strong correlation between quark spin and orbital angular momentum inside the nucleon is manifest in the derived second moment sum rule within the CQSM, thereby providing an additional support to the qualitative connection between chiralodd GPDs and BoerMulders effects. We further confirm isoscalar dominance of the corresponding first moment sum rule, which indicates that the BoerMulders functions for themore »

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