Spin-flavor structure of chiral-odd generalized parton distributions in the large-Nc limit

Schweitzer, P.; Weiss, C.

doi:10.1103/PhysRevC.94.045202

Spin-flavor structure of chiral-odd generalized parton distributions in the large- $N_{c}$ limit

Journal Article · Wed Oct 05 00:00:00 EDT 2016 · Physical Review C

DOI:https://doi.org/10.1103/PhysRevC.94.045202· OSTI ID:1328438

Schweitzer, P. ^[1]; Weiss, C. ^[2]

Tubingen Univ., Tubingen (Germany); Univ. of Connecticut, Storrs, CT (United States)
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

We study the spin-flavor structure of the nucleon's chiral-odd generalized parton distributions (transversity GPDs) in the large-N_c 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/N_c expansion: E-bar_T = E_T+2H-tilde_T, H_T, and E-tilde_T. 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 N_c scaling of the quark-nucleon helicity amplitudes associated with the GPDs. In the GPD E-bar_T the flavor-singlet component u+d is leading in the 1/N_c expansion, while in H_T and E-tilde_T it is the flavor-nonsinglet components u–d. Furthermore, the large-N_c 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.

View Accepted Manuscript (DOE)

Research Organization:: Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)

Sponsoring Organization:: USDOE; USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)

Grant/Contract Number:: AC05-06OR23177

OSTI ID:: 1328438

Alternate ID(s):: OSTI ID: 1328525

Report Number(s):: DOE/OR/23177--3827; JLAB-THY--16-2278

Journal Information:: Physical Review C, Journal Name: Physical Review C Journal Issue: 4 Vol. 94; ISSN PRVCAN; ISSN 2469-9985

Publisher:: APSCopyright Statement

Country of Publication:: United States

Language:: English

References (63)

Chiral dynamics and peripheral transverse densities Granados, C.; Weiss, C. Journal of High Energy Physics, Vol. 2014, Issue 1 https://doi.org/10.1007/JHEP01(2014)092	journal	January 2014
First extraction of valence transversities in a collinear framework Bacchetta, Alessandro; Courtoy, A.; Radici, Marco Journal of High Energy Physics, Vol. 2013, Issue 3 https://doi.org/10.1007/JHEP03(2013)119	journal	March 2013
Light-front representation of chiral dynamics with Δ isobar and large-N c relations Granados, C.; Weiss, C. Journal of High Energy Physics, Vol. 2016, Issue 6 https://doi.org/10.1007/JHEP06(2016)075	journal	June 2016
Generalized parton distributions with helicity flip Diehl, M. The European Physical Journal C, Vol. 19, Issue 3 https://doi.org/10.1007/s100520100635	journal	March 2001
Baryon-pion couplings from large-Nc QCD Dashen, Roger; Manohar, Aneesh V. Physics Letters B, Vol. 315, Issue 3-4 https://doi.org/10.1016/0370-2693(93)91635-Z	journal	October 1993
Baryon hyperfine mass splittings large N QCD Jenkins, Elizabeth Physics Letters B, Vol. 315, Issue 3-4 https://doi.org/10.1016/0370-2693(93)91638-4	journal	October 1993
A planar diagram theory for strong interactions Hooft, G. 't Nuclear Physics B, Vol. 72, Issue 3 https://doi.org/10.1016/0550-3213(74)90154-0	journal	April 1974
Baryons in the expansion Witten, Edward Nuclear Physics B, Vol. 160, Issue 1 https://doi.org/10.1016/0550-3213(79)90232-3	journal	November 1979
Current algebra, baryons, and quark confinement Witten, Edward Nuclear Physics B, Vol. 223, Issue 2 https://doi.org/10.1016/0550-3213(83)90064-0	journal	August 1983
Hard exclusive reactions and the structure of hadrons Goeke, K.; Polyakov, M. V.; Vanderhaeghen, M. Progress in Particle and Nuclear Physics, Vol. 47, Issue 2 https://doi.org/10.1016/S0146-6410(01)00158-2	journal	January 2001
Transverse polarisation of quarks in hadrons Barone, Vincenzo; Drago, Alessandro; Ratcliffe, Philip G. Physics Reports, Vol. 359, Issue 1-2 https://doi.org/10.1016/S0370-1573(01)00051-5	journal	March 2002
Gluon and quark distributions in large Nc QCD: theory versus phenomenology Efremov, A. V.; Goeke, K.; Pobylitsa, P. V. Physics Letters B, Vol. 488, Issue 2 https://doi.org/10.1016/S0370-2693(00)00858-3	journal	August 2000
Probing chiral-odd GPDs in diffractive electroproduction of two vector mesons Ivanov, D. Yu.; Pire, B.; Szymanowski, L. Physics Letters B, Vol. 550, Issue 1-2 https://doi.org/10.1016/S0370-2693(02)02856-3	journal	December 2002
Transverse spin distribution function of the nucleon in chiral theory Pobylitsa, P. V.; Polyakov, M. V. Physics Letters B, Vol. 389, Issue 2 https://doi.org/10.1016/S0370-2693(96)01288-9	journal	December 1996
The overlap representation of skewed quark and gluon distributions Diehl, M.; Feldmann, Th.; Jakob, R. Nuclear Physics B, Vol. 596, Issue 1-2 https://doi.org/10.1016/S0550-3213(00)00684-2	journal	February 2001
Erratum to: “The overlap representation of skewed quark and gluon distributions” Diehl, M.; Feldmann, Th.; Jakob, R. Nuclear Physics B, Vol. 605, Issue 1-3 https://doi.org/10.1016/S0550-3213(01)00183-3	journal	July 2001
Theory of deeply virtual Compton scattering on the nucleon Belitsky, A. V.; Müller, D.; Kirchner, A. Nuclear Physics B, Vol. 629, Issue 1-3 https://doi.org/10.1016/S0550-3213(02)00144-X	journal	May 2002
Nucleon parton distributions at low normalization point in the large Nc limit Diakonov, D.; Petrov, V.; Pobylitsa, P. Nuclear Physics B, Vol. 480, Issue 1-2 https://doi.org/10.1016/S0550-3213(96)00486-5	journal	November 1996
Are all Boer–Mulders functions alike? Burkardt, Matthias; Hannafious, Brian Physics Letters B, Vol. 658, Issue 4 https://doi.org/10.1016/j.physletb.2007.09.064	journal	January 2008
Photoproduction of a πρT pair with a large invariant mass and transversity generalized parton distribution El Beiyad, M.; Pire, B.; Segond, M. Physics Letters B, Vol. 688, Issue 2-3 https://doi.org/10.1016/j.physletb.2010.02.086	journal	May 2010
Generalized parton distributions Diehl, M. Physics Reports, Vol. 388, Issue 2-4 https://doi.org/10.1016/j.physrep.2003.08.002	journal	December 2003
Unraveling hadron structure with generalized parton distributions Belitsky, A. V.; Radyushkin, A. V. Physics Reports, Vol. 418, Issue 1-6 https://doi.org/10.1016/j.physrep.2005.06.002	journal	October 2005
Easy as π ^o : on the interpretation of recent electroproduction results Goldstein, Gary R.; Hernandez, J. Osvaldo Gonzalez; Liuti, Simonetta Journal of Physics G: Nuclear and Particle Physics, Vol. 39, Issue 11 https://doi.org/10.1088/0954-3899/39/11/115001	journal	October 2012
Exclusive π 0 electroproduction at W > 2 GeV with CLAS Bedlinskiy, I.; Kubarovsky, V.; Niccolai, S. Physical Review C, Vol. 90, Issue 2 https://doi.org/10.1103/PhysRevC.90.025205	journal	August 2014
Publisher's Note: Exclusive π 0 electroproduction at W > 2 GeV with CLAS [Phys. Rev. C 90, 025205 (2014)] Bedlinskiy, I.; Kubarovsky, V.; Niccolai, S. Physical Review C, Vol. 90, Issue 3 https://doi.org/10.1103/PhysRevC.90.039901	journal	September 2014
Soliton states in the quantum-chromodynamic effective Lagrangian Balachandran, A. P.; Nair, V. P.; Rajeev, S. G. Physical Review D, Vol. 27, Issue 5 https://doi.org/10.1103/PhysRevD.27.1153	journal	March 1983
Erratum: Soliton states in the quantum-chromodynamic effective Lagrangian Balachandran, A. P.; Nair, V. P.; Rajeev, S. G. Physical Review D, Vol. 27, Issue 11 https://doi.org/10.1103/PhysRevD.27.2772	journal	June 1983
Large- N baryonic soliton and quarks Gervais, J. -L.; Sakita, B. Physical Review D, Vol. 30, Issue 8 https://doi.org/10.1103/PhysRevD.30.1795	journal	October 1984
1 N c expansion for baryons Dashen, Roger; Jenkins, Elizabeth; Manohar, Aneesh V. Physical Review D, Vol. 49, Issue 9 https://doi.org/10.1103/PhysRevD.49.4713	journal	May 1994
Erratum: 1 N c expansion for baryons Dashen, Roger; Jenkins, Elizabeth; Manohar, Aneesh V. Physical Review D, Vol. 51, Issue 5 https://doi.org/10.1103/PhysRevD.51.2489	journal	March 1995
Spin-flavor structure of large N c baryons Dashen, Roger F.; Jenkins, Elizabeth; Manohar, Aneesh V. Physical Review D, Vol. 51, Issue 7 https://doi.org/10.1103/PhysRevD.51.3697	journal	April 1995
Baryon mass splittings in the 1/ N c expansion Jenkins, Elizabeth; Lebed, Richard F. Physical Review D, Vol. 52, Issue 1 https://doi.org/10.1103/PhysRevD.52.282	journal	July 1995
Nucleon tensor charges in the SU(2) chiral quark-soliton model Kim, Hyun-Chul; Polyakov, Maxim V.; Goeke, Klaus Physical Review D, Vol. 53, Issue 9 https://doi.org/10.1103/PhysRevD.53.R4715	journal	May 1996
Deeply virtual Compton scattering Ji, Xiangdong Physical Review D, Vol. 55, Issue 11 https://doi.org/10.1103/PhysRevD.55.7114	journal	June 1997
Factorization for hard exclusive electroproduction of mesons in QCD Collins, John C.; Frankfurt, Leonid; Strikman, Mark Physical Review D, Vol. 56, Issue 5 https://doi.org/10.1103/PhysRevD.56.2982	journal	September 1997
Nonforward parton distributions Radyushkin, A. V. Physical Review D, Vol. 56, Issue 9 https://doi.org/10.1103/PhysRevD.56.5524	journal	November 1997
Transversity distribution does not contribute to hard exclusive electroproduction of mesons Collins, J. C.; Diehl, M. Physical Review D, Vol. 61, Issue 11 https://doi.org/10.1103/PhysRevD.61.114015	journal	May 2000
New positivity bounds on polarized parton distributions in multicolored QCD Pobylitsa, P. V.; Polyakov, M. V. Physical Review D, Vol. 62, Issue 9 https://doi.org/10.1103/PhysRevD.62.097502	journal	October 2000
Transversity distributions in the nucleon in the large- N c limit Schweitzer, P.; Urbano, D.; Polyakov, M. V. Physical Review D, Vol. 64, Issue 3 https://doi.org/10.1103/PhysRevD.64.034013	journal	July 2001
Inequalities for nucleon generalized parton distributions with helicity flip Kirch, M.; Pobylitsa, P. V.; Goeke, K. Physical Review D, Vol. 72, Issue 5 https://doi.org/10.1103/PhysRevD.72.054019	journal	September 2005
Chiral-odd generalized parton distributions in constituent quark models Pasquini, B.; Pincetti, M.; Boffi, S. Physical Review D, Vol. 72, Issue 9 https://doi.org/10.1103/PhysRevD.72.094029	journal	November 2005
Chiral-odd generalized parton distributions, transversity decomposition of angular momentum, and tensor charges of the nucleon Wakamatsu, M. Physical Review D, Vol. 79, Issue 1 https://doi.org/10.1103/PhysRevD.79.014033	journal	January 2009
Chiral-odd generalized parton distributions in transverse and longitudinal impact parameter spaces Chakrabarti, D.; Manohar, R.; Mukherjee, A. Physical Review D, Vol. 79, Issue 3 https://doi.org/10.1103/PhysRevD.79.034006	journal	February 2009
Nucleon tensor charge from exclusive π 0 electroproduction Ahmad, Saeed; Goldstein, Gary R.; Liuti, Simonetta Physical Review D, Vol. 79, Issue 5 https://doi.org/10.1103/PhysRevD.79.054014	journal	March 2009
Tensor charges and form factors of SU(3) baryons in the self-consistent SU(3) chiral quark-soliton model Ledwig, Tim; Silva, Antonio; Kim, Hyun-Chul Physical Review D, Vol. 82, Issue 3 https://doi.org/10.1103/PhysRevD.82.034022	journal	August 2010
Anomalous tensor magnetic moments and form factors of the proton in the self-consistent chiral quark-soliton model Ledwig, Tim; Silva, Antonio; Kim, Hyun-Chul Physical Review D, Vol. 82, Issue 5 https://doi.org/10.1103/PhysRevD.82.054014	journal	September 2010
Simultaneous extraction of transversity and Collins functions from new semi-inclusive deep inelastic scattering and e + e − data Anselmino, M.; Boglione, M.; D’Alesio, U. Physical Review D, Vol. 87, Issue 9 https://doi.org/10.1103/PhysRevD.87.094019	journal	May 2013
Nucleon tensor charge from Collins azimuthal asymmetry measurements Kang, Zhong-Bo; Prokudin, Alexei; Sun, Peng Physical Review D, Vol. 91, Issue 7 https://doi.org/10.1103/PhysRevD.91.071501	journal	April 2015
Flexible parametrization of generalized parton distributions: The chiral-odd sector Goldstein, Gary R.; Hernandez, J. Osvaldo Gonzalez; Liuti, Simonetta Physical Review D, Vol. 91, Issue 11 https://doi.org/10.1103/PhysRevD.91.114013	journal	June 2015
Chiral odd generalized parton distributions and spin densities in the impact parameter space Kumar, Narinder; Dahiya, Harleen Physical Review D, Vol. 91, Issue 11 https://doi.org/10.1103/PhysRevD.91.114031	journal	June 2015
Chiral-odd generalized parton distributions for proton in a light-front quark-diquark model Chakrabarti, Dipankar; Mondal, Chandan Physical Review D, Vol. 92, Issue 7 https://doi.org/10.1103/PhysRevD.92.074012	journal	October 2015
Cross Section and Parity-Violating Spin Asymmetries of W ± Boson Production in Polarized p + p Collisions at s = 500 GeV Adare, A.; Afanasiev, S.; Aidala, C. Physical Review Letters, Vol. 106, Issue 6 https://doi.org/10.1103/PhysRevLett.106.062001	journal	February 2011
Measurement of the Parity-Violating Longitudinal Single-Spin Asymmetry for W ± Boson Production in Polarized Proton-Proton Collisions at s = 500 GeV Aggarwal, M. M.; Ahammed, Z.; Alakhverdyants, A. V. Physical Review Letters, Vol. 106, Issue 6 https://doi.org/10.1103/PhysRevLett.106.062002	journal	February 2011
Measurement of Exclusive π 0 Electroproduction Structure Functions and their Relationship to Transverse Generalized Parton Distributions Bedlinskiy, I.; Kubarovsky, V.; Niccolai, S. Physical Review Letters, Vol. 109, Issue 11 https://doi.org/10.1103/PhysRevLett.109.112001	journal	September 2012
Chiral-Symmetry Breakdown in Large- N Chromodynamics Coleman, Sidney; Witten, Edward Physical Review Letters, Vol. 45, Issue 2 https://doi.org/10.1103/PhysRevLett.45.100	journal	July 1980
Large- N QCD Baryon Dynamics—Exact Results from Its Relation to the Static Strong-Coupling Theory Gervais, J. -L.; Sakita, B. Physical Review Letters, Vol. 52, Issue 2 https://doi.org/10.1103/PhysRevLett.52.87	journal	January 1984
Transverse Spin Structure of the Nucleon from Lattice-QCD Simulations Göckeler, M.; Hägler, Ph.; Horsley, R. Physical Review Letters, Vol. 98, Issue 22 https://doi.org/10.1103/PhysRevLett.98.222001	journal	May 2007
Transversity in hard exclusive electroproduction of pseudoscalar mesons Goloskokov, S. V.; Kroll, P. The European Physical Journal A, Vol. 47, Issue 9 https://doi.org/10.1140/epja/i2011-11112-6	journal	September 2011
Modelling the nucleon structure Burkardt, M.; Pasquini, B. The European Physical Journal A, Vol. 52, Issue 6 https://doi.org/10.1140/epja/i2016-16161-7	journal	June 2016
An attempt to understand exclusive π + electroproduction Goloskokov, S. V.; Kroll, P. The European Physical Journal C, Vol. 65, Issue 1-2 https://doi.org/10.1140/epjc/s10052-009-1178-9	journal	November 2009
Transversity GPD in photoproduction and electroproduction of two vector mesons Enberg, R.; Pire, B.; Szymanowski, L. The European Physical Journal C, Vol. 47, Issue 1 https://doi.org/10.1140/epjc/s2006-02545-3	journal	April 2006
Deeply Virtual Pseudoscalar Meson Production at Jefferson Lab and Transversity GPDs Kubarovsky, Valery International Journal of Modern Physics: Conference Series, Vol. 40 https://doi.org/10.1142/S201019451660051X	journal	January 2016
LARGE- N _c BARYONS Jenkins, Elizabeth Annual Review of Nuclear and Particle Science, Vol. 48, Issue 1 https://doi.org/10.1146/annurev.nucl.48.1.81	journal	December 1998

Similar Records

Chiral-odd generalized parton distributions in the large-𝑁_𝑐 limit of QCD: Spin-flavor structure, polynomiality, and sum rules

Journal Article · Tue Apr 08 20:00:00 EDT 2025 · Physical Review D · OSTI ID:2998099

Status of the experimental studies on DVMP and transversity GPDs

Conference · Sat Sep 01 00:00:00 EDT 2018 · Proceedings of 23rd International Spin Physics Symposium — PoS(SPIN2018) · OSTI ID:1969715

Related Subjects

1/Nc
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
non-perturbative methods
quark-gluon structure

Spin-flavor structure of chiral-odd generalized parton distributions in the large- Nc limit

Citation Formats

References (63)

Similar Records

Related Subjects

Spin-flavor structure of chiral-odd generalized parton distributions in the large- $N_{c}$ limit