Twist-3 generalized parton distribution for the proton from basis light-front quantization

Zhang, Ziqi; Hu, Zhi; Xu, Siqi; Mondal, Chandan; Zhao, Xingbo; Vary, James P.

doi:10.1103/PhysRevD.109.034031

Title: Twist-3 generalized parton distribution for the proton from basis light-front quantization

Journal Article · 27 February 2024 · Physical Review. D.

DOI: https://doi.org/10.1103/PhysRevD.109.034031 · OSTI ID:2315718

;

; Xu, Siqi;

;

We investigate the twist-3 generalized parton distributions (GPDs) for the valence quarks of the proton within the basis light-front quantization (BLFQ) framework. We first solve for the mass spectra and light-front waved functions (LFWFs) in the leading Fock sector using an effective Hamiltonian. Using the LFWFs we then calculate the twist-3 GPDs via the overlap representation. By taking the forward limit, we also get the twist-3 parton distribution functions (PDFs), and discuss their properties. Our prediction for the twist-3 scalar PDF agrees well with the CLAS experimental extractions. Published by the American Physical Society 2024

View Journal Article

Cite

Export

Save

Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0023692; SC0023707

OSTI ID:: 2315718

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 3 Vol. 109; ISSN PRVDAQ; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

References (76)

Deeply virtual Compton scattering at small and the access to the GPD H Kumerički, Krešimir; Müller, Dieter Nuclear Physics B, Vol. 841, Issue 1-2 https://doi.org/10.1016/j.nuclphysb.2010.07.015	journal	December 2010
Hamiltonian light-front field theory in a basis function approach Vary, J. P.; Honkanen, H.; Li, Jun Physical Review C, Vol. 81, Issue 3 https://doi.org/10.1103/PhysRevC.81.035205	journal	March 2010
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
Wave Functions, Evolution Equations and Evolution Kernels from Light-Ray Operators of QCD Müller, D.; Robaschik, D.; Geyer, B. Fortschritte der Physik/Progress of Physics, Vol. 42, Issue 2 https://doi.org/10.1002/prop.2190420202	journal	January 1994
Pion to photon transition form factors with basis light-front quantization Mondal, Chandan; Nair, Sreeraj; Jia, Shaoyang Physical Review D, Vol. 104, Issue 9 https://doi.org/10.1103/PhysRevD.104.094034	journal	November 2021
Nucleon structure from basis light-front quantization Xu, Siqi; Mondal, Chandan; Lan, Jiangshan Physical Review D, Vol. 104, Issue 9 https://doi.org/10.1103/PhysRevD.104.094036	journal	November 2021
Scattering in time-dependent basis light-front quantization Zhao, Xingbo; Ilderton, Anton; Maris, Pieter Physical Review D, Vol. 88, Issue 6 https://doi.org/10.1103/PhysRevD.88.065014	journal	September 2013
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
The g1 problem: Deep inelastic electron scattering and the spin of the proton Jaffe, R. L.; Manohar, Aneesh Nuclear Physics B, Vol. 337, Issue 3 https://doi.org/10.1016/0550-3213(90)90506-9	journal	June 1990
Basis light-front quantization approach to positronium Wiecki, Paul; Li, Yang; Zhao, Xingbo Physical Review D, Vol. 91, Issue 10 https://doi.org/10.1103/PhysRevD.91.105009	journal	May 2015
Forces inside hadrons: Pressure, surface tension, mechanical radius, and all that Polyakov, Maxim V.; Schweitzer, Peter International Journal of Modern Physics A, Vol. 33, Issue 26 https://doi.org/10.1142/S0217751X18300259	journal	September 2018
Twist-three observables in deeply virtual Compton scattering on the nucleon Belitsky, A. V.; Kirchner, A.; Müller, D. Physics Letters B, Vol. 510, Issue 1-4 https://doi.org/10.1016/S0370-2693(01)00608-6	journal	June 2001
Unpolarized transverse momentum dependent parton distribution functions beyond leading twist in quark models Lorcé, C.; Pasquini, B.; Schweitzer, P. Journal of High Energy Physics, Vol. 2015, Issue 1 https://doi.org/10.1007/JHEP01(2015)103	journal	January 2015
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
Electron-ion collider in China Anderle, Daniele P.; Bertone, Valerio; Cao, Xu Frontiers of Physics, Vol. 16, Issue 6 https://doi.org/10.1007/s11467-021-1062-0	journal	June 2021
Measurement of deeply virtual Compton scattering at HERA Adloff, C.; Andreev, V.; Andrieu, B. Physics Letters B, Vol. 517, Issue 1-2 https://doi.org/10.1016/S0370-2693(01)00939-X	journal	September 2001
Measurement of deeply virtual Compton scattering and its t-dependence at HERA Aaron, F. D.; Aktas, A.; Alexa, C. Physics Letters B, Vol. 659, Issue 4 https://doi.org/10.1016/j.physletb.2007.11.093	journal	January 2008
Twist analysis of the nucleon spin in QCD Hatta, Yoshitaka; Yoshida, Shinsuke Journal of High Energy Physics, Vol. 2012, Issue 10 https://doi.org/10.1007/JHEP10(2012)080	journal	October 2012
Sum rules for forward virtual compton scattering Burkhardt, Hugh; Cottingham, W. N. Annals of Physics, Vol. 56, Issue 2 https://doi.org/10.1016/0003-4916(70)90025-4	journal	February 1970
Spatial imaging of proton via leading-twist nonskewed GPDs with basis light-front quantization Kaur, Satvir; Xu, Siqi; Mondal, Chandan Physical Review D, Vol. 109, Issue 1 https://doi.org/10.1103/PhysRevD.109.014015	journal	January 2024
Impact parameter dependent parton distributions and transverse single spin asymmetries Burkardt, Matthias Physical Review D, Vol. 66, Issue 11 https://doi.org/10.1103/PhysRevD.66.114005	journal	December 2002
Heavy quarkonium in a holographic basis Li, Yang; Maris, Pieter; Zhao, Xingbo Physics Letters B, Vol. 758 https://doi.org/10.1016/j.physletb.2016.04.065	journal	July 2016
Parton distribution functions of heavy mesons on the light front Lan, Jiangshan; Mondal, Chandan; Li, Meijian Physical Review D, Vol. 102, Issue 1 https://doi.org/10.1103/PhysRevD.102.014020	journal	July 2020
Single and double spin asymmetries for deeply virtual Compton scattering measured with CLAS and a longitudinally polarized proton target Pisano, S.; Biselli, A.; Niccolai, S. Physical Review D, Vol. 91, Issue 5 https://doi.org/10.1103/PhysRevD.91.052014	journal	March 2015
Extraction of the higher-twist parton distribution e(x) from CLAS data Courtoy, Aurore; Miramontes, Angel S.; Avakian, Harut Physical Review D, Vol. 106, Issue 1 https://doi.org/10.1103/PhysRevD.106.014027	journal	July 2022
Cross Sections for the Exclusive Photon Electroproduction on the Proton and Generalized Parton Distributions Jo, H. S.; Girod, F. X.; Avakian, H. Physical Review Letters, Vol. 115, Issue 21 https://doi.org/10.1103/PhysRevLett.115.212003	journal	November 2015
Quark and gluon spin and orbital angular momentum in the proton Xu, Siqi; Mondal, Chandan; Zhao, Xingbo Physical Review D, Vol. 108, Issue 9 https://doi.org/10.1103/PhysRevD.108.094002	journal	November 2023
Measurement of Deeply Virtual Compton Scattering Beam-Spin Asymmetries Girod, F. X.; Niyazov, R. A.; Avakian, H. Physical Review Letters, Vol. 100, Issue 16 https://doi.org/10.1103/PhysRevLett.100.162002	journal	April 2008
Generalized parton distributions and the structure of the nucleon Boffi, S.; Pasquini, B. La Rivista del Nuovo Cimento, Vol. 9 https://doi.org/10.1393/ncr/i2007-10025-7	journal	September 2007
Bound States in QED from a light-front approach Zhao, Xingbo; Fu, Kaiyu; Vary, James P. Suplemento de la Revista Mexicana de Física, Vol. 3, Issue 3 https://doi.org/10.31349/SuplRevMexFis.3.0308105	journal	June 2022
All-charm tetraquark in front form dynamics Kuang, Zhongkui; Serafin, Kamil; Zhao, Xingbo Physical Review D, Vol. 105, Issue 9 https://doi.org/10.1103/PhysRevD.105.094028	journal	May 2022
Angular momentum and generalized parton distributions for the proton with basis light-front quantization Liu, Yiping; Xu, Siqi; Mondal, Chandan Physical Review D, Vol. 105, Issue 9 https://doi.org/10.1103/PhysRevD.105.094018	journal	May 2022
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
Twist-3 generalized parton distributions in deeply-virtual Compton scattering Aslan, Fatma; Burkardt, Matthias; Lorcé, Cédric Physical Review D, Vol. 98, Issue 1 https://doi.org/10.1103/PhysRevD.98.014038	journal	July 2018
Electron g-2 in Light-front Quantization Zhao, Xingbo; Honkanen, Heli; Maris, Pieter Physics Letters B, Vol. 737 https://doi.org/10.1016/j.physletb.2014.08.020	journal	October 2014
Light mesons with one dynamical gluon on the light front Lan, Jiangshan; Fu, Kaiyu; Mondal, Chandan Physics Letters B, Vol. 825 https://doi.org/10.1016/j.physletb.2022.136890	journal	February 2022
Genuine twist-3 contributions to the generalized parton distributionsfrom instantons Kiptily, D. V.; Polyakov, M. V. The European Physical Journal C, Vol. 37, Issue 1 https://doi.org/10.1140/epjc/s2004-01957-3	journal	September 2004
Science Requirements and Detector Concepts for the Electron-Ion Collider Abdul Khalek, R.; Accardi, A.; Adam, J. Nuclear Physics A, Vol. 1026 https://doi.org/10.1016/j.nuclphysa.2022.122447	journal	October 2022
Novel twist-three transverse-spin sum rule for the proton and related generalized parton distributions Guo, Yuxun; Ji, Xiangdong; Shiells, Kyle Nuclear Physics B, Vol. 969 https://doi.org/10.1016/j.nuclphysb.2021.115440	journal	August 2021
Exploring the Structure of the Bound Proton with Deeply Virtual Compton Scattering Hattawy, M.; Baltzell, N. A.; Dupré, R. Physical Review Letters, Vol. 123, Issue 3 https://doi.org/10.1103/PhysRevLett.123.032502	journal	July 2019
Beam-helicity and beam-charge asymmetries associated with deeply virtual Compton scattering on the unpolarised proton Airapetian, A.; Akopov, N.; Akopov, Z. Journal of High Energy Physics, Vol. 2012, Issue 7 https://doi.org/10.1007/JHEP07(2012)032	journal	July 2012
Basis light-front quantization approach to photon Nair, Sreeraj; Mondal, Chandan; Zhao, Xingbo Physics Letters B, Vol. 827 https://doi.org/10.1016/j.physletb.2022.137005	journal	April 2022
Parton Distribution Functions from a Light Front Hamiltonian and QCD Evolution for Light Mesons Lan, Jiangshan; Mondal, Chandan; Jia, Shaoyang Physical Review Letters, Vol. 122, Issue 17 https://doi.org/10.1103/PhysRevLett.122.172001	journal	May 2019
Scaling Tests of the Cross Section for Deeply Virtual Compton Scattering Camacho, C. Muñoz; Camsonne, A.; Mazouz, M. Physical Review Letters, Vol. 97, Issue 26 https://doi.org/10.1103/PhysRevLett.97.262002	journal	December 2006
Transverse force on quarks in deep-inelastic scattering Burkardt, Matthias Physical Review D, Vol. 88, Issue 11 https://doi.org/10.1103/PhysRevD.88.114502	journal	December 2013
Electron in a Transverse Harmonic Cavity Honkanen, H.; Maris, P.; Vary, J. P. Physical Review Letters, Vol. 106, Issue 6 https://doi.org/10.1103/PhysRevLett.106.061603	journal	February 2011
Proton structure from a light-front Hamiltonian Mondal, Chandan; Xu, Siqi; Lan, Jiangshan Physical Review D, Vol. 102, Issue 1 https://doi.org/10.1103/PhysRevD.102.016008	journal	July 2020
Deeply virtual Compton scattering and its beam charge asymmetry in e±p collisions at HERA Aaron, F. D.; Martin, M. Aldaya; Alexa, C. Physics Letters B, Vol. 681, Issue 5 https://doi.org/10.1016/j.physletb.2009.10.035	journal	November 2009
Probing parton orbital angular momentum in longitudinally polarized nucleon Ji, Xiangdong; Xiong, Xiaonu; Yuan, Feng Physical Review D, Vol. 88, Issue 1 https://doi.org/10.1103/PhysRevD.88.014041	journal	July 2013
The twist-three distribution e(x,k⊥) in a light-front model Pasquini, Barbara; Rodini, Simone Physics Letters B, Vol. 788 https://doi.org/10.1016/j.physletb.2018.11.033	journal	January 2019
The Spin Structure of the Nucleon Filippone, B. W.; Ji, Xiangdong Advances in the Physics of Particles and Nuclei https://doi.org/10.1007/0-306-47915-X_1	book	January 2001
The spin structure of the nucleon Aidala, Christine A.; Bass, Steven D.; Hasch, Delia Reviews of Modern Physics, Vol. 85, Issue 2 https://doi.org/10.1103/RevModPhys.85.655	journal	April 2013
Twist-three cross-sections in deeply virtual Compton scattering Guo, Yuxun; Ji, Xiangdong; Kriesten, Brandon Journal of High Energy Physics, Vol. 2022, Issue 6 https://doi.org/10.1007/JHEP06(2022)096	journal	June 2022
Transverse structure of electron in momentum space in basis light-front quantization Hu, Zhi; Xu, Siqi; Mondal, Chandan Physical Review D, Vol. 103, Issue 3 https://doi.org/10.1103/PhysRevD.103.036005	journal	February 2021
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
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
A Higher Order Perturbative Parton Evolution Toolkit (HOPPET) Salam, G. P.; Rojo, J. Computer Physics Communications, Vol. 180, Issue 1 https://doi.org/10.1016/j.cpc.2008.08.010	journal	January 2009
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
Accessing the Pion 3D Structure at US and China Electron-Ion Colliders Chávez, José Manuel Morgado; Bertone, Valerio; De Soto Borrero, Feliciano Physical Review Letters, Vol. 128, Issue 20 https://doi.org/10.1103/PhysRevLett.128.202501	journal	May 2022
Scattering in strong electromagnetic fields: Transverse size effects in time-dependent basis light-front quantization Hu, Bolun; Ilderton, Anton; Zhao, Xingbo Physical Review D, Vol. 102, Issue 1 https://doi.org/10.1103/PhysRevD.102.016017	journal	July 2020
Beam-helicity asymmetry arising from deeply virtual Compton scattering measured with kinematically complete event reconstruction Airapetian, A.; Akopov, N.; Akopov, Z. Journal of High Energy Physics, Vol. 2012, Issue 10 https://doi.org/10.1007/JHEP10(2012)042	journal	October 2012
Transverse force tomography Aslan, Fatma P.; Burkardt, Matthias; Schlegel, Marc Physical Review D, Vol. 100, Issue 9 https://doi.org/10.1103/PhysRevD.100.096021	journal	November 2019
Quarkonium as a relativistic bound state on the light front Li, Yang; Maris, Pieter; Vary, James P. Physical Review D, Vol. 96, Issue 1 https://doi.org/10.1103/PhysRevD.96.016022	journal	July 2017
The spin structure of the nucleon Deur, Alexandre; Brodsky, Stanley J.; de Téramond, Guy F. Reports on Progress in Physics, Vol. 82, Issue 7 https://doi.org/10.1088/1361-6633/ab0b8f	journal	June 2019
Generalized parton correlation functions for a spin-1/2 hadron Meißner, Stephan; Metz, Andreas; Schlegel, Marc Journal of High Energy Physics, Vol. 2009, Issue 08 https://doi.org/10.1088/1126-6708/2009/08/056	journal	August 2009
Twist-three effects in two-photon processes Belitsky, A. V.; Müller, D. Nuclear Physics B, Vol. 589, Issue 3 https://doi.org/10.1016/S0550-3213(00)00542-3	journal	November 2000
Transverse momentum structure of proton within the basis light-front quantization framework Hu, Zhi; Xu, Siqi; Mondal, Chandan Physics Letters B, Vol. 833 https://doi.org/10.1016/j.physletb.2022.137360	journal	October 2022
Pion and kaon parton distribution functions from basis light front quantization and QCD evolution Lan, Jiangshan; Mondal, Chandan; Jia, Shaoyang Physical Review D, Vol. 101, Issue 3 https://doi.org/10.1103/PhysRevD.101.034024	journal	February 2020
Chiral-odd parton distributions and Drell-Yan processes Jaffe, R. L.; Ji, Xiangdong Nuclear Physics B, Vol. 375, Issue 3 https://doi.org/10.1016/0550-3213(92)90110-W	journal	May 1992
A measurement of the Q ² , W and t dependences of deeply virtual Compton scattering at HERA collaboration, Zeus Journal of High Energy Physics, Vol. 2009, Issue 05 https://doi.org/10.1088/1126-6708/2009/05/108	journal	May 2009
Spin structure of the nucleon—status and recent results Kuhn, S. E.; Chen, J. -P.; Leader, E. Progress in Particle and Nuclear Physics, Vol. 63, Issue 1 https://doi.org/10.1016/j.ppnp.2009.02.001	journal	July 2009
Empirical Transverse Charge Densities in the Nucleon and the Nucleon-to- Δ Transition Carlson, Carl E.; Vanderhaeghen, Marc Physical Review Letters, Vol. 100, Issue 3 https://doi.org/10.1103/PhysRevLett.100.032004	journal	January 2008
Nucleon properties from basis light front quantization Mondal, Chandan; Xu, Siqi; Lan, Jiangshan Proceedings of XXVII International Workshop on Deep-Inelastic Scattering and Related Subjects — PoS(DIS2019) https://doi.org/10.22323/1.352.0190	conference	July 2019
Basis light-front quantization approach to Λ and Λc and their isospin triplet baryons Peng, Tiancai; Zhu, Zhimin; Xu, Siqi Physical Review D, Vol. 106, Issue 11 https://doi.org/10.1103/PhysRevD.106.114040	journal	December 2022
New explicit expressions for Dirac bilinears Lorcé, Cédric Physical Review D, Vol. 97, Issue 1 https://doi.org/10.1103/PhysRevD.97.016005	journal	January 2018
Charge Densities of the Neutron and Proton Miller, Gerald A. Physical Review Letters, Vol. 99, Issue 11 https://doi.org/10.1103/PhysRevLett.99.112001	journal	September 2007

Similar Records

Gravitational form factors and mechanical properties of quarks in protons: A basis light-front quantization approach

Journal Article · 2024 · Physical Review. D. · OSTI ID:2440919

Nair, Sreeraj; Mondal, Chandan; Xu, Siqi; +3 more

Parton distributions from boosted fields in the Coulomb gauge

Journal Article · 2024 · Physical Review. D. · OSTI ID:2349153

Gao, Xiang; Liu, Wei-Yang; Zhao, Yong

Spatial imaging of proton via leading-twist nonskewed GPDs with basis light-front quantization

Journal Article · 2024 · Physical Review. D. · OSTI ID:2281418

Kaur, Satvir; Xu, Siqi; Mondal, Chandan; +2 more

Title: Twist-3 generalized parton distribution for the proton from basis light-front quantization

Citation Formats

References (76)

Similar Records

Related Subjects