Abstract
We study the properties of pseudoscalar mesons, pion, kaon, \(\eta \) and \(\eta '\), and compute the \(\gamma ^* \gamma \rightarrow \pi ^0, \eta , \eta '\) transition form factor in the framework of the Schwinger–Dyson equations and Bethe–Salpeter equations, using a momentum independent contact interaction. The contact interaction is capable to describe the observable properties, but produces a transition form factor whose evolution for large \(Q^2\) disagrees with experiment and perturbative QCD. Invited contribution to a Special Issue of Few Body Systems: “Emergence and Structure of Baryons—Selected Contributions from the International Conference Baryons 2022”
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
B.A. Zamora, E.C. Martínez, J. Segovia, J.J. Cobos-Martínez, [arXiv:2304.14887 [hep-ph]]
C.D. Roberts, EPJ Web Conf. 282, 01006 (2023)
C.D. Roberts, A.G. Williams, Prog. Part. Nucl. Phys. 33, 477–575 (1994)
P. Maris, C.D. Roberts, Int. J. Mod. Phys. E 12, 297–365 (2003)
H.L.L. Roberts, C.D. Roberts, A. Bashir, L.X. Gutierrez-Guerrero, P.C. Tandy, Phys. Rev. C 82, 065202 (2010)
M.A. Bedolla, J.J. Cobos-Martínez, A. Bashir, Charmonia in a contact interaction. Phys. Rev. D 92(5), 054031 (2015)
M.S. Bhagwat, L. Chang, Y.X. Liu, C.D. Roberts, P.C. Tandy, Flavour symmetry breaking and meson masses. Phys. Rev. C 76, 045203 (2007)
M. Ding, K. Raya, A. Bashir, D. Binosi, L. Chang, M. Chen, C.D. Roberts, \(\gamma ^\ast \gamma \rightarrow \eta , \eta ^\prime \) transition form factors. Phys. Rev. D 99(1), 014014 (2019)
S. Acharya et al. [ALICE], “\(\pi ^{0}\) and \(\eta \) meson production in proton-proton collisions at \(\sqrt{s}=8\) TeV,” Eur. Phys. J. C 78(3), 263 (2018)
I. Babiarz, W. Schäfer, A. Szczurek, “Production of \(\eta _c(1S,2S)\) in \(e^+ e^-\) and \(p p\) collisions,” PoS ICHEP2020, 449 (2021)
K. Raya, L. Chang, A. Bashir, J.J. Cobos-Martinez, L.X. Gutiérrez-Guerrero, C.D. Roberts, P.C. Tandy, Structure of the neutral pion and its electromagnetic transition form factor. Phys. Rev. D 93(7), 074017 (2016)
M. Tanabashi et al., Review of particle physics: particle data group. Phys. Rev. D 98(3), 030001 (2018)
M. Takizawa, K. Tsushima, Y. Kohyama, K. Kubodera, Study of meson properties and quark condensates in the Nambu-Jona-Lasinio model with instanton effects. Nucl. Phys. A 507, 611–648 (1990)
M. Takizawa, Y. Nemoto, M. Oka, Eta meson decays and strong U-A(1) breaking in the three flavor Nambu-Jona-Lasinio model. Austral. J. Phys. 50, 187–197 (1997)
A.A. Osipov, B. Hiller, A.H. Blin, The 3 Flavor Nambu-Jona-Lasinio with Explicit Symmetry Breaking Interactions: Scalar and Pseudoscalar Spectra and Decays. Acta Phys. Polon. Supp. 8(1), 183 (2015)
Acknowledgements
B. Almeida Zamora acknowledgeledge CONACyT (No. CVU 935777) for PhD fellowship. J.J. Cobos-Martínez acknowledges financial support from the University of Sonora under grant USO315007861. This work has also been partially funded by Ministerio Español de Ciencia e Innovación under grant No. PID2019-107844GB-C22; Junta de Andalucía under contract Nos. Operativo FEDER Andalucía 2014-2020 UHU-1264517, P18-FR-5057 and also PAIDI FQM370.
Author information
Authors and Affiliations
Contributions
B. Almeida-Zamora wrote the manuscript. All authors reviewed the manuscript.
Corresponding author
Ethics declarations
Conflict of interest
The authors declare that they have no conflict of interest.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Almeida-Zamora, B., Cobos-Martínez, J.J. & Segovia, J. Properties of Pseudoscalar Mesons in a Contact Interaction Model. Few-Body Syst 64, 54 (2023). https://doi.org/10.1007/s00601-023-01836-7
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s00601-023-01836-7