Quark spin and orbital angular momentum from proton generalized parton distributions

Freese, Adam; Cloët, Ian C.

doi:10.1103/physrevc.103.045204

Title: Quark spin and orbital angular momentum from proton generalized parton distributions

Journal Article · Wed Apr 14 00:00:00 EDT 2021 · Physical Review C

DOI:https://doi.org/10.1103/physrevc.103.045204· OSTI ID:1798315

^[1]; Cloët, Ian C. ^[2]

Argonne National Lab. (ANL), Argonne, IL (United States); Univ. of Washington, Seattle, WA (United States)
Argonne National Lab. (ANL), Argonne, IL (United States)

Here, we calculate the leading-twist helicity-dependent generalized parton distributions (GPDs) of the proton at finite skewness in the Nambu–Jona-Lasinio (NJL) model of quantum chromodynamics (QCD). From these (and previously calculated helicity-independent GPDs) we obtain the spin decomposition of the proton, including predictions for quark intrinsic spin and orbital angular momentum. The inclusion of multiple species of diquarks is found to have a significant effect on the flavor decomposition, and resolving the internal structure of these dynamical diquark correlations proves essential for the mechanical stability of the proton. At a scale of Q² = 4 GeV² we find that the up and down quarks carry an intrinsic spin and orbital angular momentum of S_u = 0.534, S_d = -0.214, L_u = -0.189, and L_d = 0.210 , whereas the gluons have a total angular momentum of J_g = 0.151 . The down quark is therefore found to carry almost no total angular momentum due to cancellations between spin and orbital contributions. Comparisons are made between these spin decomposition results and lattice QCD calculations.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: Argonne National Lab. (ANL), Argonne, IL (United States)

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

Grant/Contract Number:: AC02-06CH11357

OSTI ID:: 1798315

Journal Information:: Physical Review C, Vol. 103, Issue 4; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (44)

The Altarelli-Parisi kernel as asymptotic limit of an extended Brodsky-Lepage kernel Dittes, F. -M.; Müller, D.; Robaschik, D. Physics Letters B, Vol. 209, Issue 2-3 https://doi.org/10.1016/0370-2693(88)90955-0	journal	August 1988
Pion form factor from a contact interaction Gutiérrez-Guerrero, L. X.; Bashir, A.; Cloët, I. C. Physical Review C, Vol. 81, Issue 6 https://doi.org/10.1103/PhysRevC.81.065202	journal	June 2010
Baryon Structure and QCD Cahill, Rt; Roberts, Cd; Praschifka, J. Australian Journal of Physics, Vol. 42, Issue 2 https://doi.org/10.1071/PH890129	journal	January 1989
Transverse-momentum-dependent fragmentation and quark distribution functions from the Nambu–Jona-Lasinio–jet model Matevosyan, Hrayr H.; Bentz, Wolfgang; Cloët, Ian C. Physical Review D, Vol. 85, Issue 1 https://doi.org/10.1103/PhysRevD.85.014021	journal	January 2012
Medium modifications of nucleon electromagnetic form factors Horikawa, T.; Bentz, W. Nuclear Physics A, Vol. 762, Issue 1-2 https://doi.org/10.1016/j.nuclphysa.2005.08.002	journal	November 2005
LHCb pentaquarks as a baryon- $ψ (2 S)$ bound state: Prediction of isospin- $\frac{3}{2}$ pentaquarks with hidden charm Perevalova, Irina A.; Polyakov, Maxim V.; Schweitzer, Peter Physical Review D, Vol. 94, Issue 5 https://doi.org/10.1103/PhysRevD.94.054024	journal	September 2016
Nonforward parton distributions Radyushkin, A. V. Physical Review D, Vol. 56, Issue 9 https://doi.org/10.1103/PhysRevD.56.5524	journal	November 1997
Revisiting the mechanical properties of the nucleon Lorcé, Cédric; Moutarde, Hervé; Trawiński, Arkadiusz P. The European Physical Journal C, Vol. 79, Issue 1 https://doi.org/10.1140/epjc/s10052-019-6572-3	journal	January 2019
Generalized Parton Distributions in the Deuteron Berger, E. R.; Cano, F.; Diehl, M. Physical Review Letters, Vol. 87, Issue 14 https://doi.org/10.1103/PhysRevLett.87.142302	journal	September 2001
Nucleon Mass from a Covariant Three-Quark Faddeev Equation Eichmann, G.; Alkofer, R.; Krassnigg, A. Physical Review Letters, Vol. 104, Issue 20 https://doi.org/10.1103/PhysRevLett.104.201601	journal	May 2010
Deeply virtual Compton scattering Ji, Xiangdong Physical Review D, Vol. 55, Issue 11 https://doi.org/10.1103/PhysRevD.55.7114	journal	June 1997
Extended NJL model for light and heavy mesons without thresholds Ebert, Dietmar; Feldmann, Thorsten; Reinhardt, Hugo Physics Letters B, Vol. 388, Issue 1 https://doi.org/10.1016/0370-2693(96)01158-6	journal	November 1996
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
Interplay of Spin and Orbital Angular Momentum in the Proton Thomas, Anthony W. Physical Review Letters, Vol. 101, Issue 10 https://doi.org/10.1103/PhysRevLett.101.102003	journal	September 2008
Nucleon and Roper electromagnetic elastic and transition form factors Wilson, D. J.; Cloët, I. C.; Chang, L. Physical Review C, Vol. 85, Issue 2 https://doi.org/10.1103/PhysRevC.85.025205	journal	February 2012
Spin-Dependent Structure Functions in Nuclear Matter and the Polarized EMC Effect Cloët, I. C.; Bentz, W.; Thomas, A. W. Physical Review Letters, Vol. 95, Issue 5 https://doi.org/10.1103/PhysRevLett.95.052302	journal	July 2005
Nucleon Spin and Momentum Decomposition Using Lattice QCD Simulations Alexandrou, C.; Constantinou, M.; Hadjiyiannakou, K. Physical Review Letters, Vol. 119, Issue 14 https://doi.org/10.1103/PhysRevLett.119.142002	journal	October 2017
Quark and gluon contributions to the QCD trace anomaly Hatta, Yoshitaka; Rajan, Abha; Tanaka, Kazuhiro Journal of High Energy Physics, Vol. 2018, Issue 12 https://doi.org/10.1007/JHEP12(2018)008	journal	December 2018
Nucleon quark distributions in a covariant quark–diquark model Cloët, I. C.; Bentz, W.; Thomas, A. W. Physics Letters B, Vol. 621, Issue 3-4 https://doi.org/10.1016/j.physletb.2005.06.065	journal	August 2005
Gauge-Invariant Decomposition of Nucleon Spin Ji, Xiangdong Physical Review Letters, Vol. 78, Issue 4 https://doi.org/10.1103/PhysRevLett.78.610	journal	January 1997
The angular momentum controversy: What’s it all about and does it matter? Leader, Elliot; Lorcé, Cédric Physics Reports, Vol. 541, Issue 3 https://doi.org/10.1016/j.physrep.2014.02.010	journal	August 2014
Review of Particle Physics Tanabashi, M.; Hagiwara, K.; Hikasa, K. Physical Review D, Vol. 98, Issue 3 https://doi.org/10.1103/PhysRevD.98.030001	journal	August 2018
Baryon octet electromagnetic form factors in a confining NJL model Carrillo-Serrano, Manuel E.; Bentz, Wolfgang; Cloët, Ian C. Physics Letters B, Vol. 759 https://doi.org/10.1016/j.physletb.2016.05.065	journal	August 2016
Measurement of azimuthal asymmetries with respect to both beam charge and transverse target polarization in exclusive electroproduction of real photons collaboration, Hermes; Airapetian, A.; Akopov, N. Journal of High Energy Physics, Vol. 2008, Issue 06 https://doi.org/10.1088/1126-6708/2008/06/066	journal	June 2008
The Nambu and Jona-Lasinio model: Its implications for Hadrons and Nuclei Vogl, U.; Weise, W. Progress in Particle and Nuclear Physics, Vol. 27 https://doi.org/10.1016/0146-6410(91)90005-9	journal	January 1991
Off-forward parton distributions Ji, Xiangdong Journal of Physics G: Nuclear and Particle Physics, Vol. 24, Issue 7 https://doi.org/10.1088/0954-3899/24/7/002	journal	July 1998
Delta-baryon mass in a covariant Faddeev approach Nicmorus, D.; Eichmann, G.; Krassnigg, A. Physical Review D, Vol. 80, Issue 5 https://doi.org/10.1103/PhysRevD.80.054028	journal	September 2009
Impact Parameter Space Interpretation for Generalized Parton Distributions Burkardt, Matthias International Journal of Modern Physics A, Vol. 18, Issue 02 https://doi.org/10.1142/S0217751X03012370	journal	January 2003
Nucleon electromagnetic form factors from the covariant Faddeev equation Eichmann, G. Physical Review D, Vol. 84, Issue 1 https://doi.org/10.1103/PhysRevD.84.014014	journal	July 2011
QCD phenomenology based on a chiral effective Lagrangian Hatsuda, Tetsuo; Kunihiro, Teiji Physics Reports, Vol. 247, Issue 5-6 https://doi.org/10.1016/0370-1573(94)90022-1	journal	October 1994
Transversity quark distributions in a covariant quark–diquark model Cloët, I. C.; Bentz, W.; Thomas, A. W. Physics Letters B, Vol. 659, Issue 1-2 https://doi.org/10.1016/j.physletb.2007.09.071	journal	January 2008
Masses of Ground- and Excited-State Hadrons Roberts, Hannes L. L.; Chang, Lei; Cloët, Ian C. Few-Body Systems, Vol. 51, Issue 1 https://doi.org/10.1007/s00601-011-0225-x	journal	March 2011
Quark distributions in the nucleon based on a relativistic three-body approach to the Nambu–Jona-Lasinio model Mineo, H.; Bentz, W.; Yazaki, K. Physical Review C, Vol. 60, Issue 6 https://doi.org/10.1103/PhysRevC.60.065201	journal	October 1999
Light-cone representation of the spin and orbital angular momentum of relativistic composite systems Brodsky, Stanley J.; Hwang, Dae Sung; Ma, Bo-Qiang Nuclear Physics B, Vol. 593, Issue 1-2 https://doi.org/10.1016/S0550-3213(00)00626-X	journal	January 2001
Diquark confinement in an extended NJL model Hellstern, G.; Alkofer, R.; Reinhardt, H. Nuclear Physics A, Vol. 625, Issue 4 https://doi.org/10.1016/S0375-9474(97)00412-0	journal	November 1997
Generalized parton distributions of the pion in a Bethe-Salpeter approach Noguera, S.; Theußl, L.; Vento, V. The European Physical Journal A, Vol. 20, Issue 3 https://doi.org/10.1140/epja/i2003-10174-3	journal	June 2004
The Nambu—Jona-Lasinio model of quantum chromodynamics Klevansky, S. P. Reviews of Modern Physics, Vol. 64, Issue 3 https://doi.org/10.1103/RevModPhys.64.649	journal	July 1992
Elastic and Transition Form Factors of the Δ(1232) Segovia, Jorge; Chen, Chen; Cloët, Ian C. Few-Body Systems, Vol. 55, Issue 1 https://doi.org/10.1007/s00601-013-0734-x	journal	December 2013
Deeply Virtual Compton Scattering off the Neutron Mazouz, M.; Camsonne, A.; Camacho, C. Muñoz Physical Review Letters, Vol. 99, Issue 24 https://doi.org/10.1103/PhysRevLett.99.242501	journal	December 2007
A measurement of the spin asymmetry and determination of the structure function g1 in deep inelastic muon-proton scattering Ashman, J.; Badelek, B.; Baum, G. Physics Letters B, Vol. 206, Issue 2 https://doi.org/10.1016/0370-2693(88)91523-7	journal	May 1988
Skewed and double distributions in the pion and the nucleon Polyakov, M. V.; Weiss, C. Physical Review D, Vol. 60, Issue 11 https://doi.org/10.1103/PhysRevD.60.114017	journal	November 1999
A covariant view on the nucleons’ quark core Eichmann, G.; Krassnigg, A.; Schwinzerl, M. Annals of Physics, Vol. 323, Issue 10 https://doi.org/10.1016/j.aop.2008.02.007	journal	October 2008
Off-forward quark distributions of the nucleon in the large- $N_{c}$ limit Petrov, V. Yu.; Pobylitsa, P. V.; Polyakov, M. V. Physical Review D, Vol. 57, Issue 7 https://doi.org/10.1103/PhysRevD.57.4325	journal	April 1998
Role of diquark correlations and the pion cloud in nucleon elastic form factors Cloët, Ian C.; Bentz, Wolfgang; Thomas, Anthony W. Physical Review C, Vol. 90, Issue 4 https://doi.org/10.1103/PhysRevC.90.045202	journal	October 2014

Similar Records

Impact of dynamical chiral symmetry breaking and dynamical diquark correlations on proton generalized parton distributions

Journal Article · Fri Mar 13 00:00:00 EDT 2020 · Physical Review C · OSTI ID:1798315

Freese, Adam; Cloët, Ian C.

Hadron Structure using DWF Quarks on an Asqtad Sea

Conference · Mon Oct 02 00:00:00 EDT 2006 · OSTI ID:1798315

Richards, David

Lattice QCD Calculation of Nucleon Structure

Technical Report · Tue Aug 30 00:00:00 EDT 2016 · OSTI ID:1798315

Liu, Keh-Fei; Draper, Terrence

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
quantum chromodynamics
strong interaction
protons
form factors
spin
models based on symmetries

Title: Quark spin and orbital angular momentum from proton generalized parton distributions

Citation Formats

References (44)

Similar Records

Related Subjects