Mechanical structure of the nucleon and the baryon octet: twist-2 case

Won, Ho-Yeon; Kim, Hyun-Chul; Kim, June-Young

doi:10.1007/jhep05(2024)173

Title: Mechanical structure of the nucleon and the baryon octet: twist-2 case

Journal Article · 14 May 2024 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/jhep05(2024)173 · OSTI ID:2352416

^[1];

^[2];

^[3]

Inha University, Incheon (Korea, Republic of); Polytechnic Institute of Paris, Palaiseau (France)
Inha University, Incheon (Korea, Republic of); Korea Institute for Advanced Study (KIAS), Seoul (Korea, Republic of)
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

We investigate the gravitational form factors (GFFs) of the nucleon and the baryon octet, decomposed into their flavor components, utilizing a pion mean-field approach grounded in the large N_c limit of Quantum Chromodynamics (QCD). Our focus is on the contributions from the twist-2 operators to the flavor-triplet and octet GFFs, and we decompose the mass, angular momentum, and D-term form factors of the nucleon into their respective flavors. The strange quark contributions are found to be relatively mild for the mass and angular momentum form factors, while providing significant corrections to the D-term form factor. In the course of examining the flavor decomposition of the GFFs, we uncover that the effects of twist-4 operators play a crucial role. While the gluonic contributions are suppressed by the packing fraction of the instanton vacuum in the twist-2 case, contributions from twist-4 operators are of order unity, necessitating its explicit consideration.

View Accepted Manuscript (DOE)

Cite

Export

Save

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

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP); National Research Foundation of Korea; Ministère de l’Europe et des Affaires Étrangères

Grant/Contract Number:: AC05-06OR23177

OSTI ID:: 2352416

Report Number(s):: JLAB-THY--23-3938; arXiv:2310.04670; DOE/OR/23177--7228; {"","Journal ID: ISSN 1029-8479"}

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 5 Vol. 2024; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

References (87)

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
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
Gottfried sum in the SU(3) NJL model Blotz, Andree; Praszałowicz, Michał; Goeke, Klaus Physical Review D, Vol. 53, Issue 1 https://doi.org/10.1103/PhysRevD.53.551	journal	January 1996
Spatial distribution of angular momentum inside the nucleon Lorcé, Cédric; Mantovani, Luca; Pasquini, Barbara Physics Letters B, Vol. 776 https://doi.org/10.1016/j.physletb.2017.11.018	journal	January 2018
High-Energy Behavior of Nucleon Electromagnetic Form Factors Sachs, R. G. Physical Review, Vol. 126, Issue 6 https://doi.org/10.1103/PhysRev.126.2256	journal	June 1962
Ambiguities in the definition of local spatial densities in light hadrons Jaffe, R. L. Physical Review D, Vol. 103, Issue 1 https://doi.org/10.1103/PhysRevD.103.016017	journal	January 2021
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
Hadronic matrix elements of gluon operators in the instanton vacuum Diakonov, D. I.; Polyakov, M. V.; Weiss, C. Nuclear Physics B, Vol. 461, Issue 3 https://doi.org/10.1016/0550-3213(95)00675-3	journal	February 1996
Energy momentum tensor and the D term in the bag model Neubelt, Matt J.; Sampino, Andrew; Hudson, Jonathan Physical Review D, Vol. 101, Issue 3 https://doi.org/10.1103/PhysRevD.101.034013	journal	February 2020
Strong force fields and stabilities of the nucleon and singly heavy baryon Σc Kim, June-Young; Kim, Hyun-Chul; Polyakov, Maxim V. Physical Review D, Vol. 103, Issue 1 https://doi.org/10.1103/PhysRevD.103.014015	journal	January 2021
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
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
Nucleon matrix elements of higher-twist operators from the instanton vacuum Balla, J.; Polyakov, M. V.; Weiss, C. Nuclear Physics B, Vol. 510, Issue 1-2 https://doi.org/10.1016/S0550-3213(98)81017-1	journal	January 1998
Pion and nucleon relativistic electromagnetic four-current distributions Chen, Yi; Lorcé, Cédric Physical Review D, Vol. 106, Issue 11 https://doi.org/10.1103/PhysRevD.106.116024	journal	December 2022
Nucleon gravitational form factors from instantons: forces between quark and gluon subsystems Polyakov, Maxim V.; Son, Hyeon-Dong Journal of High Energy Physics, Vol. 2018, Issue 9 https://doi.org/10.1007/JHEP09(2018)156	journal	September 2018
Nucleon form factors of the energy-momentum tensor in the chiral quark-soliton model Goeke, K.; Grabis, J.; Ossmann, J. Physical Review D, Vol. 75, Issue 9 https://doi.org/10.1103/PhysRevD.75.094021	journal	May 2007
Isovector unpolarized quark distribution in the nucleon in the large- N c limit Pobylitsa, P. V.; Polyakov, M. V.; Goeke, K. Physical Review D, Vol. 59, Issue 3 https://doi.org/10.1103/PhysRevD.59.034024	journal	January 1999
On the D-term of the nucleon generalized parton distributions Wakamatsu, M. Physics Letters B, Vol. 648, Issue 2-3 https://doi.org/10.1016/j.physletb.2007.03.013	journal	May 2007
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
Pion mass dependence of the nucleon form factors of the energy-momentum tensor in the chiral quark-soliton model Goeke, K.; Grabis, J.; Ossmann, J. Physical Review C, Vol. 75, Issue 5 https://doi.org/10.1103/PhysRevC.75.055207	journal	May 2007
Gravitational form factors of the baryon octet with flavor SU(3) symmetry breaking Won, Ho-Yeon; Kim, June-Young; Kim, Hyun-Chul Physical Review D, Vol. 106, Issue 11 https://doi.org/10.1103/PhysRevD.106.114009	journal	December 2022
Flavor structure of the energy-momentum tensor form factors of the proton Won, Ho-Yeon; Kim, Hyun-Chul; Kim, June-Young Physics Letters B, Vol. 850 https://doi.org/10.1016/j.physletb.2024.138489	journal	March 2024
Gravitational form factors of the neutrino Ng, K. L. Physical Review D, Vol. 47, Issue 11 https://doi.org/10.1103/PhysRevD.47.5187	journal	June 1993
Impact parameter dependent parton distributions and off-forward parton distributions for ζ→0 Burkardt, Matthias Physical Review D, Vol. 62, Issue 7 https://doi.org/10.1103/PhysRevD.62.071503	journal	September 2000
Pion mass dependence of the nucleon mass in the chiral quark soliton model Goeke, K.; Ossmann, J.; Schweitzer, P. The European Physical Journal A, Vol. 27, Issue 1 https://doi.org/10.1140/epja/i2005-10229-5	journal	January 2006
Nucleon generalized parton distributions from full lattice QCD Hägler, Ph.; Schroers, W.; Bratt, J. Physical Review D, Vol. 77, Issue 9 https://doi.org/10.1103/PhysRevD.77.094502	journal	May 2008
Energy-Momentum Structure Form Factors of Particles Pagels, Heinz Physical Review, Vol. 144, Issue 4 https://doi.org/10.1103/PhysRev.144.1250	journal	April 1966
A chiral quark model of the nucleon Wakamatsu, M.; Yoshiki, H. Nuclear Physics A, Vol. 524, Issue 4 https://doi.org/10.1016/0375-9474(91)90263-6	journal	March 1991
Charge Distributions of Moving Nucleons Lorcé, Cédric Physical Review Letters, Vol. 125, Issue 23 https://doi.org/10.1103/PhysRevLett.125.232002	journal	December 2020
Generalized parton distribution functions and the nucleon spin sum rules in the chiral quark soliton model Wakamatsu, M.; Tsujimoto, H. Physical Review D, Vol. 71, Issue 7 https://doi.org/10.1103/PhysRevD.71.074001	journal	April 2005
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
Definition of Local Spatial Densities in Hadrons Epelbaum, E.; Gegelia, J.; Lange, N. Physical Review Letters, Vol. 129, Issue 1 https://doi.org/10.1103/PhysRevLett.129.012001	journal	June 2022
Role of strange quarks in the D -term and cosmological constant term of the proton Won, Ho-Yeon; Kim, Hyun-Chul; Kim, June-Young Physical Review D, Vol. 108, Issue 9 https://doi.org/10.1103/PhysRevD.108.094018	journal	November 2023
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
Definition of electromagnetic local spatial densities for composite spin- 1/2 systems Panteleeva, J. Yu.; Epelbaum, E.; Gegelia, J. Physical Review D, Vol. 106, Issue 5 https://doi.org/10.1103/PhysRevD.106.056019	journal	September 2022
LHCb pentaquarks as a baryon- ψ ( 2 S ) bound state: Prediction of isospin- 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
Nucleon relativistic polarization and magnetization distributions Chen, Yi; Lorcé, Cédric Physical Review D, Vol. 107, Issue 9 https://doi.org/10.1103/PhysRevD.107.096003	journal	May 2023
Nucleon structure from mixed action calculations using 2 + 1 flavors of asqtad sea and domain wall valence fermions Bratt, J. D.; Edwards, R. G.; Engelhardt, M. Physical Review D, Vol. 82, Issue 9 https://doi.org/10.1103/PhysRevD.82.094502	journal	November 2010
Instanton effects in twist-3 generalized parton distributions Kim, June-Young; Weiss, Christian Physics Letters B, Vol. 848 https://doi.org/10.1016/j.physletb.2023.138387	journal	January 2024
Electromagnetic Structure of Nucleons Yennie, D. R.; Lévy, M. M.; Ravenhall, D. G. Reviews of Modern Physics, Vol. 29, Issue 1 https://doi.org/10.1103/RevModPhys.29.144	journal	January 1957
A theory of light quarks in the instanton vacuum Dyakonov, D. I.; Petrov, V. Yu. Nuclear Physics B, Vol. 272, Issue 2 https://doi.org/10.1016/0550-3213(86)90011-8	journal	July 1986
Monopole and quadrupole contributions to the angular momentum density Schweitzer, Peter; Tezgin, Kemal Physics Letters B, Vol. 796 https://doi.org/10.1016/j.physletb.2019.07.033	journal	September 2019
Transverse Charge Densities Miller, Gerald A. Annual Review of Nuclear and Particle Science, Vol. 60, Issue 1 https://doi.org/10.1146/annurev.nucl.012809.104508	journal	November 2010
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
QCD angular momentum in N → Δ transitions Kim, June-Young; Won, Ho-Yeon; Goity, Jose L. Physics Letters B, Vol. 844 https://doi.org/10.1016/j.physletb.2023.138083	journal	September 2023
Parametrization of transition energy-momentum tensor form factors Kim, June-Young Physics Letters B, Vol. 834 https://doi.org/10.1016/j.physletb.2022.137442	journal	November 2022
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
Generalized Parton Distributions from Lattice QCD Göckeler, M.; Horsley, R.; Pleiter, D. Physical Review Letters, Vol. 92, Issue 4 https://doi.org/10.1103/PhysRevLett.92.042002	journal	January 2004
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
An investigation of the spin structure of the proton in deep inelastic scattering of polarized muons on polarized protons. Collaboration, European Muon HEPData https://doi.org/10.17182/hepdata.49587	collection	January 1990
Strange nucleon form-factors Maas, F. E.; Paschke, K. D. Progress in Particle and Nuclear Physics, Vol. 95 https://doi.org/10.1016/j.ppnp.2016.11.001	journal	July 2017
Deeply virtual Compton scattering Ji, Xiangdong Physical Review D, Vol. 55, Issue 11 https://doi.org/10.1103/PhysRevD.55.7114	journal	June 1997
Phenomenological analysis of the nucleon spin contents and their scale dependence Wakamatsu, M.; Nakakoji, Y. Physical Review D, Vol. 77, Issue 7 https://doi.org/10.1103/PhysRevD.77.074011	journal	April 2008
Mechanical properties of particles Polyakov, Maxim; Schweitzer, Peter Proceedings of 23rd International Spin Physics Symposium — PoS(SPIN2018) https://doi.org/10.22323/1.346.0066	conference	August 2019
Strange matrix elements in the proton from neutral-current experiments Kaplan, David B.; Manohar, Aneesh Nuclear Physics B, Vol. 310, Issue 3-4 https://doi.org/10.1016/0550-3213(88)90090-9	journal	December 1988
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
Instantons at work Diakonov, D. Progress in Particle and Nuclear Physics, Vol. 51, Issue 1 https://doi.org/10.1016/S0146-6410(03)90014-7	journal	January 2003
Local spatial densities for composite spin-3/2 systems Alharazin, H.; Sun, B. -D.; Epelbaum, E. Journal of High Energy Physics, Vol. 2023, Issue 2 https://doi.org/10.1007/JHEP02(2023)163	journal	February 2023
Unpolarized and polarized quark distributions in the large- N c limit Diakonov, D. I.; Petrov, V. Yu.; Pobylitsa, P. V. Physical Review D, Vol. 56, Issue 7 https://doi.org/10.1103/PhysRevD.56.4069	journal	October 1997
Calculation of baryon masses in quantum chromodynamics Ioffe, B. L. Nuclear Physics B, Vol. 188, Issue 2 https://doi.org/10.1016/0550-3213(81)90259-5	journal	September 1981
Chiral symmetry and the nucleon spin structure functions Wakamatsu, M.; Kubota, T. Physical Review D, Vol. 60, Issue 3 https://doi.org/10.1103/PhysRevD.60.034020	journal	July 1999
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
Generalized parton distributions and strong forces inside nucleons and nuclei Polyakov, M. V. Physics Letters B, Vol. 555, Issue 1-2 https://doi.org/10.1016/S0370-2693(03)00036-4	journal	February 2003
2D energy-momentum tensor distributions of nucleon in a large- Nc quark model from ultrarelativistic to nonrelativistic limit Lorcé, Cédric; Schweitzer, Peter; Tezgin, Kemal Physical Review D, Vol. 106, Issue 1 https://doi.org/10.1103/PhysRevD.106.014012	journal	July 2022
Quark spin content of SU(3) light and singly heavy baryons Suh, Jung-Min; Kim, June-Young; Yang, Ghil-Seok Physical Review D, Vol. 106, Issue 5 https://doi.org/10.1103/PhysRevD.106.054032	journal	September 2022
Covariant multipole expansion of local currents for massive states of any spin Cotogno, Sabrina; Lorcé, Cédric; Lowdon, Peter Physical Review D, Vol. 101, Issue 5 https://doi.org/10.1103/PhysRevD.101.056016	journal	March 2020
Baryons as non-topological chiral solitons Christov, Chr. V.; Blotz, A.; Kim, H. -C. Progress in Particle and Nuclear Physics, Vol. 37 https://doi.org/10.1016/0146-6410(96)00057-9	journal	January 1996
The spin of the proton in the solitonic SU (3) NJL model Blotz, A.; Polyakov, M. V.; Goeke, K. Physics Letters B, Vol. 302, Issue 2-3 https://doi.org/10.1016/0370-2693(93)90375-R	journal	March 1993
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
Scaling limit of deeply virtual compton scattering Radyushkin, A. V. Physics Letters B, Vol. 380, Issue 3-4 https://doi.org/10.1016/0370-2693(96)00528-X	journal	July 1996
Breakup of hadron masses and the energy-momentum tensor of QCD Ji, Xiangdong Physical Review D, Vol. 52, Issue 1 https://doi.org/10.1103/PhysRevD.52.271	journal	July 1995
Erratum: Strange form factors in the context of the SAMPLE, HAPPEX, and A4 experiments [Phys. Rev. D65, 014016 (2002)] Silva, António; Kim, Hyun-Chul; Goeke, Klaus Physical Review D, Vol. 66, Issue 3 https://doi.org/10.1103/PhysRevD.66.039902	journal	August 2002
Generalized form factors, generalized parton distributions, and the spin contents of the nucleon Wakamatsu, M.; Nakakoji, Y. Physical Review D, Vol. 74, Issue 5 https://doi.org/10.1103/PhysRevD.74.054006	journal	September 2006
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
Deuteron relativistic charge distributions Lorcé, Cédric; Wang, Pierre Physical Review D, Vol. 105, Issue 9 https://doi.org/10.1103/PhysRevD.105.096032	journal	May 2022
The sample experiment and weak nucleon structure Beise, E. J.; Pitt, M. L.; Spayde, D. T. Progress in Particle and Nuclear Physics, Vol. 54, Issue 1 https://doi.org/10.1016/j.ppnp.2004.07.002	journal	March 2005
Chiral-odd distribution functions in the chiral quark soliton model Wakamatsu, M. Physics Letters B, Vol. 509, Issue 1-2 https://doi.org/10.1016/S0370-2693(01)00200-3	journal	June 2001
Asymmetric gluon distributions and hard diffractive electroproduction Radyushkin, A. V. Physics Letters B, Vol. 385, Issue 1-4 https://doi.org/10.1016/0370-2693(96)00844-1	journal	September 1996
Consequences of the transversality of the graviton emission amplitude Kobsarev, I. Yu; Zakharov, V. I. Annals of Physics, Vol. 60, Issue 2 https://doi.org/10.1016/0003-4916(70)90498-7	journal	October 1970
Strangeness in the scalar form factor of the nucleon Kim, H. -C; Blotz, A.; Schneider, C. Nuclear Physics A, Vol. 596, Issue 3-4 https://doi.org/10.1016/0375-9474(95)00404-1	journal	January 1996
Chiral Expansion of Baryon Masses andσ-Terms Borasoy, B.; Meißner, Ulf-G. Annals of Physics, Vol. 254, Issue 1 https://doi.org/10.1006/aphy.1996.5630	journal	February 1997
Quark distribution functions and spin-flavor structures in N→Δ transitions Kim, June-Young Physical Review D, Vol. 108, Issue 3 https://doi.org/10.1103/PhysRevD.108.034024	journal	August 2023
Axial-vector properties of the nucleon with 1/Nccorrections in the solitonic SU(3)-NJL model Blotz, Andree; Praszałowicz, Michał; Goeke, Klaus Physical Review D, Vol. 53, Issue 1 https://doi.org/10.1103/PhysRevD.53.485	journal	January 1996
Tensor charges of the nucleon in the SU(3) chiral quark soliton model Kim, Hyun-Chul; Polyakov, Maxim V.; Goeke, Klaus Physics Letters B, Vol. 387, Issue 3 https://doi.org/10.1016/0370-2693(96)01066-0	journal	October 1996
The pressure distribution inside the proton Burkert, V. D.; Elouadrhiri, L.; Girod, F. X. Nature, Vol. 557, Issue 7705 https://doi.org/10.1038/s41586-018-0060-z	journal	May 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

Octet baryon masses and sigma terms from an SU(3) chiral extrapolation

Journal Article · 2010 · Physical Review. D, Particles Fields · OSTI ID:21408984

Young, R D; Thomas, A W

Octet baryon masses and sigma terms from an SU(3) chiral extrapolation.

Journal Article · 2010 · Phys. Rev. Lett. · OSTI ID:972620

Young, R D; Thomas, A W

Low-lying baryon spectrum with two dynamical twisted mass fermions

Journal Article · 2009 · Physical Review. D, Particles Fields · OSTI ID:21313489

Alexandrou, C; Baron, R; Guichon, P; +5 more

Related Subjects

72
properties of hadrons
effective field theories of QCD
parton distributions

Title: Mechanical structure of the nucleon and the baryon octet: twist-2 case

Citation Formats

References (87)

Similar Records

Related Subjects