skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Polynomiality sum rules for generalized parton distributions of spin-1 targets

Abstract

We present the polynomiality sum rules for all leading-twist quark and gluon generalized parton distributions (GPDs) of spin-1 targets such as the deuteron nucleus. The sum rules connect the Mellin moments of these GPDs to polynomials in skewness parameter ξ, which contain generalized form factors as their coefficients. The decompositions of local currents in terms of generalized form factors for spin-1 targets are obtained as a by-product of this derivation.

Authors:
; ;
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
OSTI Identifier:
1518500
Alternate Identifier(s):
OSTI ID: 1545770
Grant/Contract Number:  
[2017-058-N0; AC02-06CH11357]
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
[Journal Name: Physical Review D Journal Volume: 99 Journal Issue: 9]; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Cosyn, W., Freese, A., and Pire, B. Polynomiality sum rules for generalized parton distributions of spin-1 targets. United States: N. p., 2019. Web. doi:10.1103/PhysRevD.99.094035.
Cosyn, W., Freese, A., & Pire, B. Polynomiality sum rules for generalized parton distributions of spin-1 targets. United States. doi:10.1103/PhysRevD.99.094035.
Cosyn, W., Freese, A., and Pire, B. Tue . "Polynomiality sum rules for generalized parton distributions of spin-1 targets". United States. doi:10.1103/PhysRevD.99.094035.
@article{osti_1518500,
title = {Polynomiality sum rules for generalized parton distributions of spin-1 targets},
author = {Cosyn, W. and Freese, A. and Pire, B.},
abstractNote = {We present the polynomiality sum rules for all leading-twist quark and gluon generalized parton distributions (GPDs) of spin-1 targets such as the deuteron nucleus. The sum rules connect the Mellin moments of these GPDs to polynomials in skewness parameter ξ, which contain generalized form factors as their coefficients. The decompositions of local currents in terms of generalized form factors for spin-1 targets are obtained as a by-product of this derivation.},
doi = {10.1103/PhysRevD.99.094035},
journal = {Physical Review D},
number = [9],
volume = [99],
place = {United States},
year = {2019},
month = {5}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevD.99.094035

Citation Metrics:
Cited by: 3 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Forces inside hadrons: Pressure, surface tension, mechanical radius, and all that
journal, September 2018

  • Polyakov, Maxim V.; Schweitzer, Peter
  • International Journal of Modern Physics A, Vol. 33, Issue 26
  • DOI: 10.1142/S0217751X18300259

${\rm{\rho }}$ meson impact parameter distributions
journal, May 2018


Cross-channel analysis of quark and gluon generalized parton distributions with helicity flip
journal, May 2014

  • Pire, B.; Semenov-Tian-Shansky, K.; Szymanowski, L.
  • The European Physical Journal A, Vol. 50, Issue 5
  • DOI: 10.1140/epja/i2014-14090-1

Deeply virtual Compton scattering
journal, June 1997


Deeply virtual Compton scattering on the deuteron
journal, December 2002


Angular momentum sum rule for spin-one hadronic systems
journal, August 2012


γ γ * production of two ρ 0 mesons
journal, January 2004


Generalized parton distributions in impact parameter space
journal, September 2002


Form factors and generalized parton distributions of heavy quarkonia in basis light front quantization
journal, March 2019


Impact parameter dependent parton distributions and off-forward parton distributions for ζ→0
journal, September 2000


Moments of nucleon generalized parton distributions in lattice QCD
journal, August 2003


Off-forward parton distributions
journal, July 1998


Polarized generalized parton distributions and structure functions of the ρ meson
journal, January 2019


Transversity generalized parton distributions for the deuteron
journal, October 2018


Diphoton generalized distribution amplitudes
journal, August 2008


Generalized vector form factors of the pion in a chiral quark model
journal, May 2009


Deep electroproduction of photons and mesons on the deuteron
journal, March 2004


Generalized quark transversity distribution of the pion in chiral quark models
journal, October 2011

  • Dorokhov, Alexander E.; Broniowski, Wojciech; Arriola, Enrique Ruiz
  • Physical Review D, Vol. 84, Issue 7
  • DOI: 10.1103/PhysRevD.84.074015

Generalized Parton Distributions from Lattice QCD
journal, January 2004


Spin Structure of the Pion
journal, September 2008


Study of deuteron generalized parton distribution functions and its tensor structure function
journal, January 2014

  • Dong, Yubing; Liang, Cuiying
  • International Journal of Modern Physics: Conference Series, Vol. 29
  • DOI: 10.1142/S2010194514602294

Skewed and double distributions in the pion and the nucleon
journal, November 1999


Deeply virtual Compton scattering on a photon and generalized parton distributions in the photon
journal, February 2007


Femtophotography of protons to nuclei with deeply virtual Compton scattering
journal, December 2002


Counting and tensorial properties of twist-two helicity-flip nucleon form factors
journal, January 2005


ρ meson unpolarized generalized parton distributions with a light-front constituent quark model
journal, August 2017


Off-forward gluonic structure of vector mesons
journal, June 2017


Sum rule for the spin-dependent structure function b 1 ( x ) for spin-one hadrons
journal, October 1990


The pressure distribution inside the proton
journal, May 2018


Revisiting the mechanical properties of the nucleon
journal, January 2019


Generalized Parton Distributions in the Deuteron
journal, September 2001


Transverse Spin Structure of the Nucleon from Lattice-QCD Simulations
journal, May 2007


Form factor decomposition of generalized parton distributions at leading twist
journal, July 2004


The Uses of conformal symmetry in QCD
journal, January 2003


Generalized parton distributions and strong forces inside nucleons and nuclei
journal, February 2003


Counting form factors of twist-two operators
journal, March 2001


Analyticity and sum rules for photon GPDs
journal, October 2012


Generalized parton distributions
journal, December 2003


Exclusive production of pion pairs in γ*γ collisions at large Q2
journal, September 2000


Deeply virtual Compton scattering off nuclei
journal, January 2003


Twist decomposition of nonlocal light-cone operators II: general tensors of 2nd rank
journal, August 2000


Generalized parton distributions in impact parameter space
journal, November 2003


Generalized parton distributions of the photon with helicity flip
journal, April 2013


Probing Partonic Structure in γ * γ π π near Threshold
journal, August 1998


Spin densities in the transverse plane and generalized transversity distributions
journal, September 2005


Impact Parameter Space Interpretation for Generalized Parton Distributions
journal, January 2003


Electron-Ion Collider: The next QCD frontier: Understanding the glue that binds us all
journal, September 2016


First lattice QCD study of the gluonic structure of light nuclei
journal, November 2017


Deeply Virtual Compton Scattering off the Neutron
journal, December 2007


Group Theory and its Applications to Physical Problems
journal, October 1962

  • Hamermesh, Morton; Mullin, Albert A.
  • American Journal of Physics, Vol. 30, Issue 10
  • DOI: 10.1119/1.1941790

Search for isotensor exotic meson and twist 4 contribution to <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msup><mml:mi>γ</mml:mi><mml:mo>∗</mml:mo></mml:msup><mml:mi>γ</mml:mi><mml:mo>→</mml:mo><mml:mi>ρ</mml:mi><mml:mi>ρ</mml:mi></mml:math>
journal, October 2005


Unraveling hadron structure with generalized parton distributions
journal, October 2005


Decomposition of non-local light-cone operators into harmonic operators of definite twist
journal, October 1999


Erratum: Off-forward gluonic structure of vector mesons [Phys. Rev. D 95 , 114515 (2017)]
journal, January 2019


Gauge invariance of DVCS off an arbitrary spin hadron: the deuteron target case
journal, July 2012