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Title: Spin-flavor structure of chiral-odd generalized parton distributions in the large- N c 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:
 [1];  [2]
  1. Tubingen Univ., Tubingen (Germany); Univ. of Connecticut, Storrs, CT (United States)
  2. 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) (SC-26)
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. doi: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. doi: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 = {2016},
month = {10}
}

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