Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Open Access

Influence of heavy quark potential on quarkonium production in quark-gluon plasma

Taesoo Song1,* and Jiaxing Zhao2,3,†

  • *Contact author: t.song@gsi.de
  • †Contact author: jzhao@itp.uni-frankfurt.de

Phys. Rev. C 113, 024916 – Published 23 February, 2026

DOI: https://doi.org/10.1103/394n-63jr

Abstract

Remler formalism is the Wigner projection of a two particle state to bound states, which is carried out when the bound state begins to exist or when one of the two particles scatters in medium. This method has been successfully applied to quarkonium production in box simulations and in heavy-ion collisions. In this study this method is extended to strongly bound states with considerable binding energies by taking into account the potential energy between heavy quark pairs in the quark-gluon plasma. We find that an attractive heavy-quark potential enhances quarkonium production and the results are consistent with those from the statistical model in box simulations, if a proper spatial cutoff is introduced to the potential to mimic quantum effects.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (38)

  1. T. Matsui and H. Satz, Phys. Lett. B 178, 416 (1986).
  2. S. Acharya, et al. (ALICE Collaboratio), Phys. Lett. B 805, 135434 (2020).
  3. S. Acharya, et al. (ALICE Collaboration), J. High Energy Phys. 02 (2024) 066.
  4. A. Andronic, P. Braun-Munzinger, K. Redlich, and J. Stachel, Nucl. Phys. A 789, 334 (2007).
  5. L. Grandchamp and R. Rapp, Nucl. Phys. A 709, 415 (2002).
  6. L. Yan, P. Zhuang, and N. Xu, Phys. Rev. Lett. 97, 232301 (2006).
  7. T. Song, K. C. Han, and C. M. Ko, Phys. Rev. C 84, 034907 (2011).
  8. X. Yao, W. Ke, Y. Xu, S. A. Bass, and B. Müller, J. High Energy Phys. 01 (2021) 046.
  9. N. Brambilla, M. A. Escobedo, J. Soto, and A. Vairo, Phys. Rev. D 96, 034021 (2017).
  10. J.-P. Blaizot and M. A. Escobedo, Phys. Rev. D 98, 074007 (2018).
  11. D. Y. A. Villar, J. Zhao, J. Aichelin, and P. B. Gossiaux, Phys. Rev. C 107, 054913 (2023).
  12. E. G. Ferreiro and J.-P. Lansberg, J. High Energy Phys. 10 (2018) 094; 03 (2019) 063(E).
  13. E. A. Remler and A. P. Sathe, Ann. Phys. (NY) 91, 295 (1975).
  14. E. A. Remler, Ann. Phys. (NY) 95, 455 (1975).
  15. E. A. Remler, Ann. Phys. (NY) 136, 293 (1981).
  16. T. Song, J. Aichelin, and E. Bratkovskaya, Phys. Rev. C 107, 054906 (2023).
  17. T. Song, J. Aichelin, and E. Bratkovskaya, Phys. Rev. C 96, 014907 (2017).
  18. J. Zhao, P. B. Gossiaux, T. Song, E. Bratkovskaya, and J. Aichelin, EPJ Web Conf. 296, 09014 (2024).
  19. T. Song, J. Aichelin, J. Zhao, P. B. Gossiaux, and E. Bratkovskaya, Phys. Rev. C 108, 054908 (2023).
  20. A. Andronic, P. Braun-Munzinger, M. K. Köhler, K. Redlich, and J. Stachel, Phys. Lett. B 797, 134836 (2019).
  21. T. Song, I. Grishmanovskii, O. Soloveva, and E. Bratkovskaya, Phys. Rev. C 110, 034906 (2024).
  22. T. Song, J. Zhao, and I. Grishmanovskii, Eur. Phys. J. A 62, 11 (2026).
  23. T. Song and Q. Zhou, Phys. Scr. 99, 125304 (2024).
  24. L. Grandchamp, R. Rapp, and G. E. Brown, Phys. Rev. Lett. 92, 212301 (2004).
  25. X. Zhao and R. Rapp, Phys. Rev. C 82, 064905 (2010).
  26. F. Riek and R. Rapp, Phys. Rev. C 82, 035201 (2010).
  27. S. Y. F. Liu and R. Rapp, Phys. Rev. C 97, 034918 (2018).
  28. F. Halzen, A. D. Martin, and N. Mitra, Am. J. Phys. 53, 287 (1985).
  29. M. E. Peskin, Nucl. Phys. B 156, 365 (1979).
  30. P. Gubler, T. Song, and S. H. Lee, Phys. Rev. D 101, 114029 (2020).
  31. H. Satz, J. Phys. G 32, R25 (2006).
  32. A. Andronic, et al., Eur. Phys. J. A 60, 88 (2024).
  33. W. Greiner, L. Neise, and H. Stöcker, Thermodynamics and Statistical Mechanics, Classical Theoretical Physics (Springer, New York, 1995).
  34. S. M. Blinder, J. Math. Phys. 36, 1208 (1995).
  35. M. L. Bellac, Thermal Field Theory, Cambridge Monographs on Mathematical Physics (Cambridge University Press, Cambridge, 2011).
  36. S. Cho, Phys. Rev. C 91, 054914 (2015).
  37. K. C. Han, R. J. Fries, and C. M. Ko, Phys. Rev. C 93, 045207 (2016).
  38. A. Andronic, P. Braun-Munzinger, B. Friman, P. M. Lo, K. Redlich, and J. Stachel, Phys. Lett. B 792, 304 (2019).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation