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  • Open Access

Magnetic catalysis of charmonium in the vector channel

C. A. Dominguez and Michael Koning

L. A. Hernández

  • Centre for Theoretical and Mathematical Physics, and Department of Physics, University of Cape Town, Rondebosch 7700, South Africa

  • Departamento de Física, Universidad Autónoma Metropolitana-Iztapalapa, Avenida San Rafael Atlixco 186, Ciudad de Mxico 09340, Mexico

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Phys. Rev. D 112, 094049 – Published 24 November, 2025

DOI: https://doi.org/10.1103/6nz8-lwc1

Abstract

We investigate the impact of an external magnetic field on the vector charmonium system within the framework of Hilbert moment QCD sum rules. By incorporating magnetic corrections to the perturbative contributions of the QCD sector, we analyze the behavior of the hadronic parameters of the J/ψ resonance—namely, its continuum threshold s0, decay constant fV, width ΓV, and its mass MV, as functions of the magnetic field strength. Our results show that s0 and fV increase monotonically, while ΓV decreases significantly and MV remains essentially constant. These behaviors indicate a strengthening of the hadronic state in the presence of a magnetic field, consistent with the phenomenon of magnetic catalysis. Although magnetic catalysis has traditionally been associated with light-quark systems via chiral symmetry breaking, our results demonstrate that similar effects persist in the heavy-quark sector, despite the absence of chiral dynamics.

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References (26)

  1. V. A. Miransky and I. A. Shovkovy, Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals, Phys. Rep. 576, 1 (2015).
  2. P. Adhikari et al., Strongly interacting matter in extreme magnetic fields, Prog. Part. Nucl. Phys. 146, 104199 (2025).
  3. K. Hattori, K. Itakura, and S. Ozaki, Strong-field physics in QED and QCD: From fundamentals to applications, Prog. Part. Nucl. Phys. 133, 104068 (2023).
  4. V. P. Gusynin, V. A. Miransky, and I. A. Shovkovy, Catalysis of dynamical flavor symmetry breaking by a magnetic field in (2+1)-dimensions, Phys. Rev. Lett. 73, 3499 (1994); 76, 1005(E) (1996).
  5. V. P. Gusynin, V. A. Miransky, and I. A. Shovkovy, Dimensional reduction and catalysis of dynamical symmetry breaking by a magnetic field, Nucl. Phys. B462, 249 (1996).
  6. M. D’Elia and F. Negro, Chiral properties of strong interactions in a magnetic background, Phys. Rev. D 83, 114028 (2011).
  7. G. S. Bali, F. Bruckmann, G. Endrodi, Z. Fodor, S. D. Katz, and A. Schafer, QCD quark condensate in external magnetic fields, Phys. Rev. D 86, 071502 (2012).
  8. V. A. Miransky and I. A. Shovkovy, Magnetic catalysis and anisotropic confinement in QCD, Phys. Rev. D 66, 045006 (2002).
  9. K. Fukushima and Y. Hidaka, Magnetic catalysis versus magnetic inhibition, Phys. Rev. Lett. 110, 031601 (2013).
  10. K. Kamikado and T. Kanazawa, Chiral dynamics in a magnetic field from the functional renormalization group, J. High Energy Phys. 03 (2014) 009.
  11. N. Mueller, J. A. Bonnet, and C. S. Fischer, Dynamical quark mass generation in a strong external magnetic field, Phys. Rev. D 89, 094023 (2014).
  12. N. Mueller and J. M. Pawlowski, Magnetic catalysis and inverse magnetic catalysis in QCD, Phys. Rev. D 91, 116010 (2015).
  13. K. Hattori, T. Kojo, and N. Su, Mesons in strong magnetic fields: (I) General analyses, Nucl. Phys. A951, 1 (2016).
  14. A. Ballon-Bayona, J. P. Shock, and D. Zoakos, Magnetic catalysis and the chiral condensate in holographic QCD, J. High Energy Phys. 10 (2020) 193.
  15. V. Skokov, A. Y. Illarionov, and V. Toneev, Estimate of the magnetic field strength in heavy-ion collisions, Int. J. Mod. Phys. A 24, 5925 (2009).
  16. J. D. Brandenburg, W. Zha, and Z. Xu, Mapping the electromagnetic fields of heavy-ion collisions with the Breit-Wheeler process, Eur. Phys. J. A 57, 299 (2021).
  17. M. I. Abdulhamid et al. (STAR Collaboration), Observation of the electromagnetic field effect via charge-dependent directed flow in heavy-ion collisions at the relativistic heavy ion collider, Phys. Rev. X 14, 011028 (2024).
  18. P. Colangelo and A. Khodjamirian, QCD sum rules, a modern perspective, in At The Frontier of Particle Physics (World Scientific, Singapore, 2001), pp. 1495–1576.
  19. C. A. Dominguez, Quantum Chromodynamics Sum Rules, SpringerBriefs in Physics (Springer International Publishing, Cham, 2018).
  20. C. A. Dominguez, M. Loewe, J. C. Rojas, and Y. Zhang, Charmonium in the vector channel at finite temperature from QCD sum rules, Phys. Rev. D 81, 014007 (2010).
  21. C. A. Dominguez, M. Loewe, J. C. Rojas, and Y. Zhang, (Pseudo)Scalar charmonium in finite temperature QCD, Phys. Rev. D 83, 034033 (2011).
  22. C. A. Dominguez, M. Loewe, and Y. Zhang, Bottonium in QCD at finite temperature, Phys. Rev. D 88, 054015 (2013).
  23. J. P. Carlomagno and M. Loewe, Relation between the continuum threshold and the Polyakov loop with the QCD deconfinement transition, Phys. Rev. D 100, 076022 (2019).
  24. A. Ayala, J. D. Castaño-Yepes, L. A. Hernández, J. Salinas San Martín, and R. Zamora, Gluon polarization tensor and dispersion relation in a weakly magnetized medium, Eur. Phys. J. A 57, 140 (2021).
  25. K. Hattori and K. Itakura, Vacuum birefringence in strong magnetic fields: (I) Photon polarization tensor with all the Landau levels, Ann. Phys. (Amsterdam) 330, 23 (2013).
  26. B. Karmakar, A. Bandyopadhyay, N. Haque, and M. G. Mustafa, General structure of gauge boson propagator and its spectra in a hot magnetized medium, Eur. Phys. J. C 79, 658 (2019).

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Phys. Rev. D 112, 094049– Published 24 November, 2025
  • Received 15 October 2025
  • Accepted 10 November 2025
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