Spinflavor structure of chiralodd generalized parton distributions in the large ${N}_{c}$ limit
Abstract
We study the spinflavor structure of the nucleon's chiralodd generalized parton distributions (transversity GPDs) in the largeN_{c} limit of QCD. In contrast to the chiraleven case, only three combinations of the four chiralodd GPDs are nonzero in the leading order of the 1/N_{c} expansion: Ebar_{T} = E_{T}+2Htilde_{T}, H_{T}, and Etilde_{T}. The degeneracy is explained by the absence of spinorbit interactions correlating the transverse momentum transfer with the transverse quark spin. It can also be deduced from the natural N_{c} scaling of the quarknucleon helicity amplitudes associated with the GPDs. In the GPD Ebar_{T} the flavorsinglet component u+d is leading in the 1/N_{c} expansion, while in H_{T} and Etilde_{T} it is the flavornonsinglet components u–d. Furthermore, the largeN_{c} relations are consistent with the spinflavor structure extracted from hard exclusive π^{0} and η electroproduction data, if it is assumed that the processes are mediated by twist3 amplitudes involving the chiralodd GPDs and the chiralodd 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) (SC26)
 OSTI Identifier:
 1328438
 Alternate Identifier(s):
 OSTI ID: 1328525
 Report Number(s):
 JLABTHY162278; DOE/OR/231773827
Journal ID: ISSN 24699985; PRVCAN; TRN: US1700160
 Grant/Contract Number:
 AC0506OR23177; 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 24699985
 Publisher:
 APS
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; quarkgluon structure; nonperturbative methods; 1/N_{c}
Citation Formats
Schweitzer, P., and Weiss, C. Spinflavor structure of chiralodd generalized parton distributions in the largeNc limit. United States: N. p., 2016.
Web. doi:10.1103/PhysRevC.94.045202.
Schweitzer, P., & Weiss, C. Spinflavor structure of chiralodd generalized parton distributions in the largeNc limit. United States. doi:10.1103/PhysRevC.94.045202.
Schweitzer, P., and Weiss, C. Wed .
"Spinflavor structure of chiralodd generalized parton distributions in the largeNc limit". United States. doi:10.1103/PhysRevC.94.045202. https://www.osti.gov/servlets/purl/1328438.
@article{osti_1328438,
title = {Spinflavor structure of chiralodd generalized parton distributions in the largeNc limit},
author = {Schweitzer, P. and Weiss, C.},
abstractNote = {We study the spinflavor structure of the nucleon's chiralodd generalized parton distributions (transversity GPDs) in the largeNc limit of QCD. In contrast to the chiraleven case, only three combinations of the four chiralodd GPDs are nonzero in the leading order of the 1/Nc expansion: EbarT = ET+2HtildeT, HT, and EtildeT. The degeneracy is explained by the absence of spinorbit interactions correlating the transverse momentum transfer with the transverse quark spin. It can also be deduced from the natural Nc scaling of the quarknucleon helicity amplitudes associated with the GPDs. In the GPD EbarT the flavorsinglet component u+d is leading in the 1/Nc expansion, while in HT and EtildeT it is the flavornonsinglet components u–d. Furthermore, the largeNc relations are consistent with the spinflavor structure extracted from hard exclusive π0 and η electroproduction data, if it is assumed that the processes are mediated by twist3 amplitudes involving the chiralodd GPDs and the chiralodd pseudoscalar meson distribution amplitudes.},
doi = {10.1103/PhysRevC.94.045202},
journal = {Physical Review C},
number = 4,
volume = 94,
place = {United States},
year = {2016},
month = {10}
}
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