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)
- 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. https://doi.org/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. https://doi.org/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 = {Tue May 28 00:00:00 EDT 2019},
month = {Tue May 28 00:00:00 EDT 2019}
}
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https://doi.org/10.1103/PhysRevD.99.094035
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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
${\rm{\rho }}$ meson impact parameter distributions
journal, May 2018
- Sun, Bao-Dong; Dong, Yu-Bing
- Chinese Physics C, Vol. 42, Issue 6
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
Deeply virtual Compton scattering
journal, June 1997
- Ji, Xiangdong
- Physical Review D, Vol. 55, Issue 11
Deeply virtual Compton scattering on the deuteron
journal, December 2002
- Cano, F.; Pire, B.
- Nuclear Physics A, Vol. 711, Issue 1-4
Angular momentum sum rule for spin-one hadronic systems
journal, August 2012
- Taneja, Swadhin K.; Kathuria, Kunal; Liuti, Simonetta
- Physical Review D, Vol. 86, Issue 3
production of two mesons
journal, January 2004
- Anikin, I. V.; Pire, B.; Teryaev, O. V.
- Physical Review D, Vol. 69, Issue 1
Generalized parton distributions in impact parameter space
journal, September 2002
- Diehl, M.
- The European Physical Journal C, Vol. 25, Issue 2
Form factors and generalized parton distributions of heavy quarkonia in basis light front quantization
journal, March 2019
- Adhikari, Lekha; Li, Yang; Li, Meijian
- Physical Review C, Vol. 99, Issue 3
Impact parameter dependent parton distributions and off-forward parton distributions for ζ→0
journal, September 2000
- Burkardt, Matthias
- Physical Review D, Vol. 62, Issue 7
Moments of nucleon generalized parton distributions in lattice QCD
journal, August 2003
- Hägler, Ph.; Negele, J. W.; Renner, D. B.
- Physical Review D, Vol. 68, Issue 3
Off-forward parton distributions
journal, July 1998
- Ji, Xiangdong
- Journal of Physics G: Nuclear and Particle Physics, Vol. 24, Issue 7
Polarized generalized parton distributions and structure functions of the meson
journal, January 2019
- Sun, Bao-Dong; Dong, Yu-Bing
- Physical Review D, Vol. 99, Issue 1
Transversity generalized parton distributions for the deuteron
journal, October 2018
- Cosyn, W.; Pire, B.
- Physical Review D, Vol. 98, Issue 7
Diphoton generalized distribution amplitudes
journal, August 2008
- El Beiyad, M.; Pire, B.; Szymanowski, L.
- Physical Review D, Vol. 78, Issue 3
Generalized vector form factors of the pion in a chiral quark model
journal, May 2009
- Broniówski, Wojciech
- Indian Journal of Physics, Vol. 83, Issue 5
Deep electroproduction of photons and mesons on the deuteron
journal, March 2004
- Cano, F.; Pire, B.
- The European Physical Journal A, Vol. 19, Issue 3
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
Generalized Parton Distributions from Lattice QCD
journal, January 2004
- Göckeler, M.; Horsley, R.; Pleiter, D.
- Physical Review Letters, Vol. 92, Issue 4
Spin Structure of the Pion
journal, September 2008
- Brömmel, D.; Diehl, M.; Göckeler, M.
- Physical Review Letters, Vol. 101, Issue 12
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
Skewed and double distributions in the pion and the nucleon
journal, November 1999
- Polyakov, M. V.; Weiss, C.
- Physical Review D, Vol. 60, Issue 11
Erratum: Impact parameter dependent parton distributions and off-forward parton distributions for [Phys. Rev. D 62 , 071503(R) (2000)]
journal, December 2002
- Burkardt, Matthias
- Physical Review D, Vol. 66, Issue 11
Deeply virtual Compton scattering on a photon and generalized parton distributions in the photon
journal, February 2007
- Friot, S.; Pire, B.; Szymanowski, L.
- Physics Letters B, Vol. 645, Issue 2-3
Femtophotography of protons to nuclei with deeply virtual Compton scattering
journal, December 2002
- Ralston, John P.; Pire, Bernard
- Physical Review D, Vol. 66, Issue 11
Counting and tensorial properties of twist-two helicity-flip nucleon form factors
journal, January 2005
- Chen, Zhang; Ji, Xiangdong
- Physical Review D, Vol. 71, Issue 1
meson unpolarized generalized parton distributions with a light-front constituent quark model
journal, August 2017
- Sun, Bao-Dong; Dong, Yu-Bing
- Physical Review D, Vol. 96, Issue 3
Off-forward gluonic structure of vector mesons
journal, June 2017
- Detmold, W.; Pefkou, D.; Shanahan, P. E.
- Physical Review D, Vol. 95, Issue 11
Sum rule for the spin-dependent structure function for spin-one hadrons
journal, October 1990
- Close, F. E.; Kumano, S.
- Physical Review D, Vol. 42, Issue 7
The pressure distribution inside the proton
journal, May 2018
- Burkert, V. D.; Elouadrhiri, L.; Girod, F. X.
- Nature, Vol. 557, Issue 7705
Revisiting the mechanical properties of the nucleon
journal, January 2019
- Lorcé, Cédric; Moutarde, Hervé; Trawiński, Arkadiusz P.
- The European Physical Journal C, Vol. 79, Issue 1
Generalized Parton Distributions in the Deuteron
journal, September 2001
- Berger, E. R.; Cano, F.; Diehl, M.
- Physical Review Letters, Vol. 87, Issue 14
Transverse Spin Structure of the Nucleon from Lattice-QCD Simulations
journal, May 2007
- Göckeler, M.; Hägler, Ph.; Horsley, R.
- Physical Review Letters, Vol. 98, Issue 22
Form factor decomposition of generalized parton distributions at leading twist
journal, July 2004
- Hägler, Ph.
- Physics Letters B, Vol. 594, Issue 1-2
The Uses of conformal symmetry in QCD
journal, January 2003
- Braun, V. M.; Korchemsky, G. P.; Müller, D.
- Progress in Particle and Nuclear Physics, Vol. 51, Issue 2
Generalized parton distributions and strong forces inside nucleons and nuclei
journal, February 2003
- Polyakov, M. V.
- Physics Letters B, Vol. 555, Issue 1-2
Counting form factors of twist-two operators
journal, March 2001
- Ji, Xiangdong; Lebed, Richard F.
- Physical Review D, Vol. 63, Issue 7
Analyticity and sum rules for photon GPDs
journal, October 2012
- Gabdrakhmanov, I. R.; Teryaev, O. V.
- Physics Letters B, Vol. 716, Issue 3-5
Generalized parton distributions
journal, December 2003
- Diehl, M.
- Physics Reports, Vol. 388, Issue 2-4
Exclusive production of pion pairs in γ*γ collisions at large Q2
journal, September 2000
- Diehl, M.; Gousset, T.; Pire, B.
- Physical Review D, Vol. 62, Issue 7
Deeply virtual Compton scattering off nuclei
journal, January 2003
- Kirchner, A.; Müller, D.
- The European Physical Journal C, Vol. 32, Issue 3
Measurement of azimuthal asymmetries associated with deeply virtual Compton scattering on a longitudinally polarized deuterium target
journal, January 2011
- Airapetian, A.; Akopov, N.; Akopov, Z.
- Nuclear Physics B, Vol. 842, Issue 3
Twist decomposition of nonlocal light-cone operators II: general tensors of 2nd rank
journal, August 2000
- Geyer, Bodo; Lazar, Markus
- Nuclear Physics B, Vol. 581, Issue 1-2
Generalized parton distributions in impact parameter space
journal, November 2003
- Diehl, M.
- The European Physical Journal C, Vol. 31, Issue 2
Generalized parton distributions of the photon with helicity flip
journal, April 2013
- Mukherjee, Asmita; Nair, Sreeraj; Kumar Ojha, Vikash
- Physics Letters B, Vol. 721, Issue 4-5
Probing Partonic Structure in near Threshold
journal, August 1998
- Diehl, M.; Gousset, T.; Pire, B.
- Physical Review Letters, Vol. 81, Issue 9
Spin densities in the transverse plane and generalized transversity distributions
journal, September 2005
- Diehl, M.; Hägler, Ph.
- The European Physical Journal C, Vol. 44, Issue 1
Impact Parameter Space Interpretation for Generalized Parton Distributions
journal, January 2003
- Burkardt, Matthias
- International Journal of Modern Physics A, Vol. 18, Issue 02
Electron-Ion Collider: The next QCD frontier: Understanding the glue that binds us all
journal, September 2016
- Accardi, A.; Albacete, J. L.; Anselmino, M.
- The European Physical Journal A, Vol. 52, Issue 9
First lattice QCD study of the gluonic structure of light nuclei
journal, November 2017
- Winter, Frank; Detmold, William; Gambhir, Arjun S.
- Physical Review D, Vol. 96, Issue 9
Deeply Virtual Compton Scattering off the Neutron
journal, December 2007
- Mazouz, M.; Camsonne, A.; Camacho, C. Muñoz
- Physical Review Letters, Vol. 99, Issue 24
Group Theory and its Applications to Physical Problems
journal, October 1962
- Hamermesh, Morton; Mullin, Albert A.
- American Journal of Physics, Vol. 30, Issue 10
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
- Anikin, I. V.; Pire, B.; Teryaev, O. V.
- Physics Letters B, Vol. 626, Issue 1-4
Unraveling hadron structure with generalized parton distributions
journal, October 2005
- Belitsky, A. V.; Radyushkin, A. V.
- Physics Reports, Vol. 418, Issue 1-6
Decomposition of non-local light-cone operators into harmonic operators of definite twist
journal, October 1999
- Geyer, Bodo; Lazar, Markus; Robaschik, Dieter
- Nuclear Physics B, Vol. 559, Issue 1-2
Erratum: Off-forward gluonic structure of vector mesons [Phys. Rev. D 95 , 114515 (2017)]
journal, January 2019
- Detmold, W.; Pefkou, D.; Shanahan, P. E.
- Physical Review D, Vol. 99, Issue 1
Gauge invariance of DVCS off an arbitrary spin hadron: the deuteron target case
journal, July 2012
- Anikin, I. V.; Pasechnik, R. S.; Pire, B.
- The European Physical Journal C, Vol. 72, Issue 7