Spin-flavor structure of chiral-odd generalized parton distributions in the large- limit
Abstract
We study the spin-flavor structure of the nucleon's chiral-odd generalized parton distributions (transversity GPDs) in the large-Nc limit of QCD. In contrast to the chiral-even case, only three combinations of the four chiral-odd GPDs are nonzero in the leading order of the 1/Nc expansion: E-barT = ET+2H-tildeT, HT, and E-tildeT. The degeneracy is explained by the absence of spin-orbit interactions correlating the transverse momentum transfer with the transverse quark spin. It can also be deduced from the natural Nc scaling of the quark-nucleon helicity amplitudes associated with the GPDs. In the GPD E-barT the flavor-singlet component u+d is leading in the 1/Nc expansion, while in HT and E-tildeT it is the flavor-nonsinglet components u–d. Furthermore, the large-Nc relations are consistent with the spin-flavor structure extracted from hard exclusive π0 and η electroproduction data, if it is assumed that the processes are mediated by twist-3 amplitudes involving the chiral-odd GPDs and the chiral-odd pseudoscalar meson distribution amplitudes.
- Authors:
-
- Tubingen Univ., Tubingen (Germany); Univ. of Connecticut, Storrs, CT (United States)
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Publication Date:
- Research Org.:
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP)
- OSTI Identifier:
- 1328438
- Alternate Identifier(s):
- OSTI ID: 1328525
- Report Number(s):
- JLAB-THY-16-2278; DOE/OR/23177-3827
Journal ID: ISSN 2469-9985; PRVCAN; TRN: US1700160
- Grant/Contract Number:
- AC05-06OR23177; 1406298; VO 1049/1
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review C
- Additional Journal Information:
- Journal Volume: 94; Journal Issue: 4; Journal ID: ISSN 2469-9985
- Publisher:
- APS
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; quark-gluon structure; non-perturbative methods; 1/Nc
Citation Formats
Schweitzer, P., and Weiss, C. Spin-flavor structure of chiral-odd generalized parton distributions in the large-Nc limit. United States: N. p., 2016.
Web. doi:10.1103/PhysRevC.94.045202.
Schweitzer, P., & Weiss, C. Spin-flavor structure of chiral-odd generalized parton distributions in the large-Nc limit. United States. https://doi.org/10.1103/PhysRevC.94.045202
Schweitzer, P., and Weiss, C. Wed .
"Spin-flavor structure of chiral-odd generalized parton distributions in the large-Nc limit". United States. https://doi.org/10.1103/PhysRevC.94.045202. https://www.osti.gov/servlets/purl/1328438.
@article{osti_1328438,
title = {Spin-flavor structure of chiral-odd generalized parton distributions in the large-Nc limit},
author = {Schweitzer, P. and Weiss, C.},
abstractNote = {We study the spin-flavor structure of the nucleon's chiral-odd generalized parton distributions (transversity GPDs) in the large-Nc limit of QCD. In contrast to the chiral-even case, only three combinations of the four chiral-odd GPDs are nonzero in the leading order of the 1/Nc expansion: E-barT = ET+2H-tildeT, HT, and E-tildeT. The degeneracy is explained by the absence of spin-orbit interactions correlating the transverse momentum transfer with the transverse quark spin. It can also be deduced from the natural Nc scaling of the quark-nucleon helicity amplitudes associated with the GPDs. In the GPD E-barT the flavor-singlet component u+d is leading in the 1/Nc expansion, while in HT and E-tildeT it is the flavor-nonsinglet components u–d. Furthermore, the large-Nc relations are consistent with the spin-flavor structure extracted from hard exclusive π0 and η electroproduction data, if it is assumed that the processes are mediated by twist-3 amplitudes involving the chiral-odd GPDs and the chiral-odd pseudoscalar meson distribution amplitudes.},
doi = {10.1103/PhysRevC.94.045202},
journal = {Physical Review C},
number = 4,
volume = 94,
place = {United States},
year = {Wed Oct 05 00:00:00 EDT 2016},
month = {Wed Oct 05 00:00:00 EDT 2016}
}
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