Electromagnetic and two-photon transition form factors of the pseudoscalar mesons: An algebraic model computation

Higuera-Angulo, I. M.; Hernández-Pinto, R. J.; Raya, K.; Bashir, A.

doi:10.1103/PhysRevD.110.034013

Title: Electromagnetic and two-photon transition form factors of the pseudoscalar mesons: An algebraic model computation

Journal Article · 12 August 2024 · Physical Review. D.

DOI: https://doi.org/10.1103/PhysRevD.110.034013 · OSTI ID:2429094

;

We compute electromagnetic and two-photon transition form factors of ground-state pseudoscalar mesons: $π, K, η_{c}, η_{b}$ . To this end, we employ an algebraic model based upon the coupled formalism of Schwinger-Dyson and Bethe-Salpeter equations. Within this approach, the dressed quark propagator and the relevant Bethe-Salpeter amplitude encode the internal structure of the corresponding meson. Electromagnetic properties of the meson are probed via the quark-photon interaction. The algebraic model employed by us unifies the treatment of all ground-state pseudoscalar mesons. Its parameters are carefully fitted performing a global analysis of existing experimental data including the knowledge of the charge radii of the mesons studied. We then compute and predict electromagnetic and two-photon transition form factors for a wide range of probing photon momentum-squared which is of direct relevance to the experimental observations carried out thus far or planned at different hadron physics facilities such as the Thomas Jefferson National Accelerator Facility (JLab) and the forthcoming Electron-Ion Collider. We also present comparisons with other theoretical models and approaches and lattice quantum chromodynamics. Published by the American Physical Society 2024

View Journal Article

Cite

Export

Save

Sponsoring Organization:: USDOE

OSTI ID:: 2429094

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 3 Vol. 110; ISSN PRVDAQ; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

References (83)

A measurement of the ?0, ? and ?? electromagnetic form factors Behrend, H. -J.; Criegee, L.; Field, J. H. Zeitschrift f�r Physik C Particles and Fields, Vol. 49, Issue 3 https://doi.org/10.1007/BF01549692	journal	September 1991
A PCAC puzzle: π0→γγ in the σ-model Bell, J. S.; Jackiw, R. Il Nuovo Cimento A, Vol. 60, Issue 1 https://doi.org/10.1007/BF02823296	journal	March 1969
A Combined Study of the Pion’s Static Properties and form Factors El-Bennich, B.; de Melo, J. P. B. C.; Frederico, T. Few-Body Systems, Vol. 54, Issue 11 https://doi.org/10.1007/s00601-013-0682-5	journal	March 2013
From Bethe–Salpeter Wave functions to Generalised Parton Distributions Mezrag, C.; Moutarde, H.; Rodríguez-Quintero, J. Few-Body Systems, Vol. 57, Issue 9 https://doi.org/10.1007/s00601-016-1119-8	journal	June 2016
Heavy Quarkonia in a Contact Interaction and an Algebraic Model: Mass Spectrum, Decay Constants, Charge Radii and Elastic and Transition Form Factors Raya, K.; Bedolla, Marco A.; Cobos-Martínez, J. J. Few-Body Systems, Vol. 59, Issue 6 https://doi.org/10.1007/s00601-018-1455-y	journal	August 2018
Selected Science Opportunities for the EicC Chen, Xurong; Guo, Feng-Kun; Roberts, Craig D. Few-Body Systems, Vol. 61, Issue 4 https://doi.org/10.1007/s00601-020-01574-0	journal	October 2020
Dyson-Schwinger equations and their application to hadronic physics Roberts, Craig D.; Williams, Anthony G. Progress in Particle and Nuclear Physics, Vol. 33 https://doi.org/10.1016/0146-6410(94)90049-3	journal	January 1994
Exclusive processes in quantum chromodynamics: Evolution equations for hadronic wavefunctions and the form factors of mesons Peter Lepage, G.; Brodsky, Stanley J. Physics Letters B, Vol. 87, Issue 4 https://doi.org/10.1016/0370-2693(79)90554-9	journal	November 1979
Factorization and asymptotic behaviour of pion form factor in QCD Efremov, A. V.; Radyushkin, A. V. Physics Letters B, Vol. 94, Issue 2 https://doi.org/10.1016/0370-2693(80)90869-2	journal	July 1980
A measurement of the kaon charge radius Amendolia, S. R.; Batignani, G.; Beck, G. A. Physics Letters B, Vol. 178, Issue 4 https://doi.org/10.1016/0370-2693(86)91407-3	journal	October 1986
Determination of the longitudinal and the transverse part in π+ electroproduction Ackermann, H.; Azemoon, T.; Gabriel, W. Nuclear Physics B, Vol. 137, Issue 3 https://doi.org/10.1016/0550-3213(78)90523-0	journal	May 1978
A measurement of the space-like pion electromagnetic form factor Amendolia, S. R.; Arik, M.; Badelek, B. Nuclear Physics B, Vol. 277 https://doi.org/10.1016/0550-3213(86)90437-2	journal	January 1986
Leading-twist parton distribution amplitudes of S -wave heavy-quarkonia Ding, Minghui; Gao, Fei; Chang, Lei Physics Letters B, Vol. 753 https://doi.org/10.1016/j.physletb.2015.11.075	journal	February 2016
On the large- Q 2 behavior of the pion transition form factor Eichmann, Gernot; Fischer, Christian S.; Weil, Esther Physics Letters B, Vol. 774 https://doi.org/10.1016/j.physletb.2017.10.002	journal	November 2017
Single pseudoscalar meson pole and pion box contributions to the anomalous magnetic moment of the muon Eichmann, Gernot; Fischer, Christian S.; Weil, Esther Physics Letters B, Vol. 797 https://doi.org/10.1016/j.physletb.2019.134855	journal	October 2019
Corrigendum to: “Single pseudoscalar meson pole and pion box contributions to the anomalous magnetic moment of the muon” [Phys. Lett. B 797 (2019) 134855] Eichmann, Gernot; Fischer, Christian S.; Weil, Esther Physics Letters B, Vol. 799 https://doi.org/10.1016/j.physletb.2019.135029	journal	December 2019
Onset of scaling violation in pion and kaon elastic electromagnetic form factors Yao, Zhao-Qian; Binosi, Daniele; Roberts, Craig D. Physics Letters B, Vol. 855 https://doi.org/10.1016/j.physletb.2024.138823	journal	August 2024
The hadronic light-by-light contribution to the muon’s anomalous magnetic moment Danilkin, Igor; Redmer, Christoph Florian; Vanderhaeghen, Marc Progress in Particle and Nuclear Physics, Vol. 107 https://doi.org/10.1016/j.ppnp.2019.05.002	journal	July 2019
Parton distributions and lattice-QCD calculations: Toward 3D structure Constantinou, Martha; Courtoy, Aurore; Ebert, Markus A. Progress in Particle and Nuclear Physics, Vol. 121 https://doi.org/10.1016/j.ppnp.2021.103908	journal	November 2021
Collective Perspective on Advances in Dyson—Schwinger Equation QCD Bashir, Adnan; Chang, Lei; Cloët, Ian C. Communications in Theoretical Physics, Vol. 58, Issue 1 https://doi.org/10.1088/0253-6102/58/1/16	journal	July 2012
Impressions of the Continuum Bound State Problem in QCD Qin, Si-Xue; Roberts, C. D. Chinese Physics Letters, Vol. 37, Issue 12 https://doi.org/10.1088/0256-307X/37/12/121201	journal	December 2020
A gauge covariant approximation to quantum electrodynamics Delbourgo, R.; West, P. Journal of Physics A: Mathematical and General, Vol. 10, Issue 6 https://doi.org/10.1088/0305-4470/10/6/024	journal	June 1977
The pion: an enigma within the Standard Model Horn, Tanja; Roberts, Craig D. Journal of Physics G: Nuclear and Particle Physics, Vol. 43, Issue 7 https://doi.org/10.1088/0954-3899/43/7/073001	journal	May 2016
Revealing the structure of light pseudoscalar mesons at the electron–ion collider Arrington, J.; Gayoso, C. Ayerbe; Barry, P. C. Journal of Physics G: Nuclear and Particle Physics, Vol. 48, Issue 7 https://doi.org/10.1088/1361-6471/abf5c3	journal	May 2021
Revealing pion and kaon structure via generalised parton distributions * Raya, K.; Cui, Z. -F.; Chang, L. Chinese Physics C, Vol. 46, Issue 1 https://doi.org/10.1088/1674-1137/ac3071	journal	January 2022
Radiative Physics in Charmonium from Lattice QCD Dudek, Jozef J.; Edwards, Robert G.; Mathur, Nilmani Journal of Physics: Conference Series, Vol. 69 https://doi.org/10.1088/1742-6596/69/1/012006	journal	May 2007
Review of Particle Physics Progress of Theoretical and Experimental Physics, Vol. 2022, Issue 8 https://doi.org/10.1093/ptep/ptac097	journal	August 2022
Axial-Vector Vertex in Spinor Electrodynamics Adler, Stephen L. Physical Review, Vol. 177, Issue 5 https://doi.org/10.1103/PhysRev.177.2426	journal	January 1969
Vector meson form factors and their quark-mass dependence Bhagwat, M. S.; Maris, P. Physical Review C, Vol. 77, Issue 2 https://doi.org/10.1103/PhysRevC.77.025203	journal	February 2008
Charged pion form factor between Q 2 = 0 . 60 and 2 . 45 GeV 2 . II. Determination of, and results for, the pion form factor Huber, G. M.; Blok, H. P.; Horn, T. Physical Review C, Vol. 78, Issue 4 https://doi.org/10.1103/PhysRevC.78.045203	journal	October 2008
Abelian anomaly and neutral pion production Roberts, H. L. L.; Roberts, C. D.; Bashir, A. Physical Review C, Vol. 82, Issue 6 https://doi.org/10.1103/PhysRevC.82.065202	journal	December 2010
Separated kaon electroproduction cross section and the kaon form factor from 6 GeV JLab data Carmignotto, M.; Ali, S.; Aniol, K. Physical Review C, Vol. 97, Issue 2 https://doi.org/10.1103/PhysRevC.97.025204	journal	February 2018
Transverse Takahashi identities and their implications for gauge independent dynamical chiral symmetry breaking Albino, L.; Bashir, A.; Guerrero, L. X. Gutiérrez Physical Review D, Vol. 100, Issue 5 https://doi.org/10.1103/PhysRevD.100.054028	journal	September 2019
Kaon-box contribution to the anomalous magnetic moment of the muon Eichmann, Gernot; Fischer, Christian S.; Williams, Richard Physical Review D, Vol. 101, Issue 5 https://doi.org/10.1103/PhysRevD.101.054015	journal	March 2020
Contribution of neutral pseudoscalar mesons to a μ HLbL within a Schwinger-Dyson equations approach to QCD Raya, Khépani; Bashir, Adnan; Roig, Pablo Physical Review D, Vol. 101, Issue 7 https://doi.org/10.1103/PhysRevD.101.074021	journal	April 2020
Effect of the quark-gluon vertex on dynamical chiral symmetry breaking Sultan, M. Atif; Raya, Khépani; Akram, Faisal Physical Review D, Vol. 103, Issue 5 https://doi.org/10.1103/PhysRevD.103.054036	journal	March 2021
Elucidating the effect of intermediate resonances in the quark interaction kernel on the timelike electromagnetic pion form factor Miramontes, Ángel S.; Sanchis Alepuz, Hèlios; Alkofer, Reinhard Physical Review D, Vol. 103, Issue 11 https://doi.org/10.1103/PhysRevD.103.116006	journal	June 2021
Quark anomalous magnetic moment and its effects on the ρ meson properties Xing, Zanbin; Raya, Khépani; Chang, Lei Physical Review D, Vol. 104, Issue 5 https://doi.org/10.1103/PhysRevD.104.054038	journal	September 2021
Pion and Kaon box contribution to aμHLbL Miramontes, Ángel; Bashir, Adnan; Raya, Khépani Physical Review D, Vol. 105, Issue 7 https://doi.org/10.1103/PhysRevD.105.074013	journal	April 2022
Pseudoscalar mesons: Light front wave functions, GPDs, and PDFs Albino, L.; Higuera-Angulo, I. M.; Raya, K. Physical Review D, Vol. 106, Issue 3 https://doi.org/10.1103/PhysRevD.106.034003	journal	August 2022
Pion scalar, vector, and tensor form factors from a contact interaction Wang, Xiaobin; Xing, Zanbin; Kang, Jiayin Physical Review D, Vol. 106, Issue 5 https://doi.org/10.1103/PhysRevD.106.054016	journal	September 2022
Timelike electromagnetic kaon form factor Miramontes, A. S.; Bashir, Adnan Physical Review D, Vol. 107, Issue 1 https://doi.org/10.1103/PhysRevD.107.014016	journal	January 2023
Electromagnetic form factors and charge radii of pseudoscalar and scalar mesons: A comprehensive contact interaction analysis Hernández-Pinto, R. J.; Gutiérrez-Guerrero, L. X.; Bashir, A. Physical Review D, Vol. 107, Issue 5 https://doi.org/10.1103/PhysRevD.107.054002	journal	March 2023
Light-front wave functions of vector mesons in an algebraic model Almeida-Zamora, B.; Cobos-Martínez, J. J.; Bashir, A. Physical Review D, Vol. 107, Issue 7 https://doi.org/10.1103/PhysRevD.107.074037	journal	April 2023
Chiral anomaly and the pion transition form factor: Beyond the cutoff Dang, Hao; Xing, Zanbin; Sultan, M. Atif Physical Review D, Vol. 108, Issue 5 https://doi.org/10.1103/PhysRevD.108.054031	journal	September 2023
Algebraic model to study the internal structure of pseudoscalar mesons with heavy-light quark content Almeida-Zamora, B.; Cobos-Martínez, J. J.; Bashir, A. Physical Review D, Vol. 109, Issue 1 https://doi.org/10.1103/PhysRevD.109.014016	journal	January 2024
QCD anomalies in electromagnetic processes: A solution to the γ→3π puzzle Xing, Zanbin; Dang, Hao; Sultan, M. Atif Physical Review D, Vol. 109, Issue 5 https://doi.org/10.1103/PhysRevD.109.054028	journal	March 2024
Exclusive processes in perturbative quantum chromodynamics Lepage, G. Peter; Brodsky, Stanley J. Physical Review D, Vol. 22, Issue 9 https://doi.org/10.1103/PhysRevD.22.2157	journal	November 1980
Improved nonrelativistic QCD for heavy-quark physics Lepage, G. Peter; Magnea, Lorenzo; Nakhleh, Charles Physical Review D, Vol. 46, Issue 9 https://doi.org/10.1103/PhysRevD.46.4052	journal	November 1992
Measurements of the meson-photon transition form factors of light pseudoscalar mesons at large momentum transfer Gronberg, J.; Hill, T. S.; Kutschke, R. Physical Review D, Vol. 57, Issue 1 https://doi.org/10.1103/PhysRevD.57.33	journal	January 1998
Radiative transitions in charmonium from lattice QCD Dudek, Jozef J.; Edwards, Robert G.; Richards, David G. Physical Review D, Vol. 73, Issue 7 https://doi.org/10.1103/PhysRevD.73.074507	journal	April 2006
Measurement of the γ γ * → π 0 transition form factor Aubert, B.; Karyotakis, Y.; Lees, J. P. Physical Review D, Vol. 80, Issue 5 https://doi.org/10.1103/PhysRevD.80.052002	journal	September 2009
Measurement of the γ γ * → η c transition form factor Lees, J. P.; Poireau, V.; Prencipe, E. Physical Review D, Vol. 81, Issue 5 https://doi.org/10.1103/PhysRevD.81.052010	journal	March 2010
Evolved QCD predictions for the meson-photon transition form factors Brodsky, Stanley J.; Cao, Fu-Guang; de Téramond, Guy F. Physical Review D, Vol. 84, Issue 3 https://doi.org/10.1103/PhysRevD.84.033001	journal	August 2011
Pion-photon transition: The new QCD frontier Bakulev, A. P.; Mikhailov, S. V.; Pimikov, A. V. Physical Review D, Vol. 84, Issue 3 https://doi.org/10.1103/PhysRevD.84.034014	journal	August 2011
Meson transition form factors in light-front holographic QCD Brodsky, Stanley J.; Cao, Fu-Guang; de Téramond, Guy F. Physical Review D, Vol. 84, Issue 7 https://doi.org/10.1103/PhysRevD.84.075012	journal	October 2011
Comparing antithetic trends of data for the pion-photon transition form factor Bakulev, A. P.; Mikhailov, S. V.; Pimikov, A. V. Physical Review D, Vol. 86, Issue 3 https://doi.org/10.1103/PhysRevD.86.031501	journal	August 2012
Measurement of γ γ * → π 0 transition form factor at Belle Uehara, S.; Watanabe, Y.; Nakazawa, H. Physical Review D, Vol. 86, Issue 9 https://doi.org/10.1103/PhysRevD.86.092007	journal	November 2012
Can we understand an auxetic pion-photon transition form factor within QCD? Stefanis, N. G.; Bakulev, A. P.; Mikhailov, S. V. Physical Review D, Vol. 87, Issue 9 https://doi.org/10.1103/PhysRevD.87.094025	journal	May 2013
Structure of the neutral pion and its electromagnetic transition form factor Raya, Khépani; Chang, Lei; Bashir, Adnan Physical Review D, Vol. 93, Issue 7 https://doi.org/10.1103/PhysRevD.93.074017	journal	April 2016
η c elastic and transition form factors: Contact interaction and algebraic model Bedolla, Marco A.; Raya, Khépani; Cobos-Martínez, J. J. Physical Review D, Vol. 93, Issue 9 https://doi.org/10.1103/PhysRevD.93.094025	journal	May 2016
Quark-gluon vertex: A perturbation theory primer and beyond Bermudez, R.; Albino, L.; Gutiérrez-Guerrero, L. X. Physical Review D, Vol. 95, Issue 3 https://doi.org/10.1103/PhysRevD.95.034041	journal	February 2017
Partonic structure of neutral pseudoscalars via two photon transition form factors Raya, Khépani; Ding, Minghui; Bashir, Adnan Physical Review D, Vol. 95, Issue 7 https://doi.org/10.1103/PhysRevD.95.074014	journal	April 2017
Exposing strangeness: Projections for kaon electromagnetic form factors Gao, Fei; Chang, Lei; Liu, Yu-Xin Physical Review D, Vol. 96, Issue 3 https://doi.org/10.1103/PhysRevD.96.034024	journal	August 2017
Pion and kaon valence-quark parton quasidistributions Xu, Shu-Sheng; Chang, Lei; Roberts, Craig D. Physical Review D, Vol. 97, Issue 9 https://doi.org/10.1103/PhysRevD.97.094014	journal	May 2018
Solution to the γ γ * → η c puzzle using the principle of maximum conformality Wang, Sheng-Quan; Wu, Xing-Gang; Sang, Wen-Long Physical Review D, Vol. 97, Issue 9 https://doi.org/10.1103/PhysRevD.97.094034	journal	May 2018
γ * γ → η , η ′ transition form factors Ding, Minghui; Raya, Khépani; Bashir, Adnan Physical Review D, Vol. 99, Issue 1 https://doi.org/10.1103/PhysRevD.99.014014	journal	January 2019
Imaging Dynamical Chiral-Symmetry Breaking: Pion Wave Function on the Light Front Chang, Lei; Cloët, I. C.; Cobos-Martinez, J. J. Physical Review Letters, Vol. 110, Issue 13 https://doi.org/10.1103/PhysRevLett.110.132001	journal	March 2013
Pion Electromagnetic Form Factor at Spacelike Momenta Chang, L.; Cloët, I. C.; Roberts, C. D. Physical Review Letters, Vol. 111, Issue 14 https://doi.org/10.1103/PhysRevLett.111.141802	journal	October 2013
Can Nonrelativistic QCD Explain the γ γ * → η c Transition Form Factor Data? Feng, Feng; Jia, Yu; Sang, Wen-Long Physical Review Letters, Vol. 115, Issue 22 https://doi.org/10.1103/PhysRevLett.115.222001	journal	November 2015
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
Direct Measurement of the Negative-Kaon Form Factor Dally, E. B.; Hauptman, J. M.; Kubic, J. Physical Review Letters, Vol. 45, Issue 4 https://doi.org/10.1103/PhysRevLett.45.232	journal	July 1980
Measurement of the Charged Pion Electromagnetic Form Factor Volmer, J.; Abbott, D.; Anklin, H. Physical Review Letters, Vol. 86, Issue 9 https://doi.org/10.1103/PhysRevLett.86.1713	journal	February 2001
Determination of the Pion Charge Form Factor at Q 2 = 1.60 and 2.45 ( GeV / c ) 2 Horn, T.; Aniol, K.; Arrington, J. Physical Review Letters, Vol. 97, Issue 19 https://doi.org/10.1103/PhysRevLett.97.192001	journal	November 2006
Mind the gap Bhagwat, M. S.; Krassnigg, A.; Maris, P. The European Physical Journal A, Vol. 31, Issue 4 https://doi.org/10.1140/epja/i2006-10271-9	journal	March 2007
Pion and kaon structure at the electron-ion collider Aguilar, Arlene C.; Ahmed, Zafir; Aidala, Christine The European Physical Journal A, Vol. 55, Issue 10 https://doi.org/10.1140/epja/i2019-12885-0	journal	October 2019
QCD and strongly coupled gauge theories: challenges and perspectives Brambilla, N.; Eidelman, S.; Foka, P. The European Physical Journal C, Vol. 74, Issue 10 https://doi.org/10.1140/epjc/s10052-014-2981-5	journal	October 2014
50 Years of quantum chromodynamics Gross, Franz; Klempt, Eberhard; Brodsky, Stanley J. The European Physical Journal C, Vol. 83, Issue 12 https://doi.org/10.1140/epjc/s10052-023-11949-2	journal	December 2023
Pion and kaon electromagnetic and gravitational form factors Xu, Y. -Z.; Ding, M.; Raya, K. The European Physical Journal C, Vol. 84, Issue 2 https://doi.org/10.1140/epjc/s10052-024-12518-x	journal	February 2024
Studies of Nucleon Resonance Structure in Exclusive Meson Electroproduction Aznauryan, I. G.; Bashir, A.; Braun, V. M. International Journal of Modern Physics E, Vol. 22, Issue 06 https://doi.org/10.1142/S0218301313300154	journal	June 2013
Resolving the puzzle of the pion-photon transition form factor Melikhov, Dmitri; Lucha, Wolfgang Proceedings of The European Physical Society Conference on High Energy Physics — PoS(EPS-HEP 2013) https://doi.org/10.22323/1.180.0445	conference	March 2014
Dyson-Schwinger equations and the muon g-2 Raya, Khépani; Bashir, Adnan; Miramontes, Ángel S. Suplemento de la Revista Mexicana de Física, Vol. 3, Issue 2 https://doi.org/10.31349/SuplRevMexFis.3.020709	journal	March 2022
Electromagnetic time-like form factors Miramontes, Angel; Bashir, Adnan Suplemento de la Revista Mexicana de Física, Vol. 4, Issue 2 https://doi.org/10.31349/SuplRevMexFis.4.021114	journal	September 2023