- Physical Review Journals
All JournalsPhysics Magazine

Physical Review D

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

Imaginary potential and thermal width in the spinning black hole background from holography

Zhou-Run Zhu1,*, Sheng Wang2,†, Yang-Kang Liu2,‡, and Defu Hou2,§

  • *Contact author: zhuzhourun@zknu.edu.cn
  • †Contact author: shengwang@mails.ccnu.edu.cn
  • ‡Contact author: ykl@mails.ccnu.edu.cn
  • §Contact author: houdf@mail.ccnu.edu.cn
PDF

Phys. Rev. D 112, 026012 – Published 7 July, 2025

DOI: https://doi.org/10.1103/rwrh-z742

Abstract

In this study, we investigate the imaginary potential of heavy quarkonium in the spinning black hole background. Then, we estimate the thermal width, which is determined by the imaginary part of the finite-temperature potential. In the ultralocal description, the boosted fluid represents a globally rotating fluid. Using a holographic approach, we systematically analyze how the boost parameter influences these quantities. Our results reveal that increasing the boost parameter causes the imaginary potential to emerge at smaller interquark distances, suggesting that the boost parameter accelerates quarkonium melting. Furthermore, we find that the boost parameter enhances the thermal width, indicating greater instability of the bound state at higher boost parameter values. Notably, we observe that the effect of the boost parameter on quarkonium dissociation is more pronounced when the axis of the quark-antiquark pair is transverse to the direction of the boost parameter.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (51)

  1. T. Matsui and H. Satz, Phys. Lett. B 178, 416 (1986).
  2. M. Laine, O. Philipsen, P. Romatschke, and M. Tassler, J. High Energy Phys. 03 (2007) 054.
  3. A. Beraudo, J. P. Blaizot, and C. Ratti, Nucl. Phys. A806, 312 (2008).
  4. Y. Burnier, M. Laine, and M. Vepsalainen, Phys. Lett. B 678, 86 (2009).
  5. N. Brambilla, M. A. Escobedo, J. Ghiglieri, J. Soto, and A. Vairo, J. High Energy Phys. 09 (2010) 038.
  6. N. Brambilla, J. Ghiglieri, A. Vairo, and P. Petreczky, Phys. Rev. D 78, 014017 (2008).
  7. M. Margotta, K. McCarty, C. McGahan, M. Strickland, and D. Yager-Elorriaga, Phys. Rev. D 83, 105019 (2011); 84, 069902(E) (2011).
  8. Z. T. Liang and X. N. Wang, Phys. Rev. Lett. 94, 102301 (2005); 96, 039901(E) (2006).
  9. F. Becattini, F. Piccinini, and J. Rizzo, Phys. Rev. C 77, 024906 (2008).
  10. M. Baznat, K. Gudima, A. Sorin, and O. Teryaev, Phys. Rev. C 88, 061901 (2013).
  11. STAR Collaboration, Nature (London) 548, 62 (2017).
  12. Y. Jiang, Z. W. Lin, and J. Liao, Phys. Rev. C 94, 044910 (2016); 95, 049904(E) (2017).
  13. M. I. Baznat, K. K. Gudima, A. S. Sorin, and O. V. Teryaev, Phys. Rev. C 93, 031902 (2016).
  14. D. E. Kharzeev, J. Liao, S. A. Voloshin, and G. Wang, Prog. Part. Nucl. Phys. 88, 1 (2016).
  15. J. M. Maldacena, Adv. Theor. Math. Phys. 2, 231 (1998).
  16. E. Witten, Adv. Theor. Math. Phys. 2, 253 (1998).
  17. S. S. Gubser, I. R. Klebanov, and A. M. Polyakov, Phys. Lett. B 428, 105 (1998).
  18. J. Noronha and A. Dumitru, Phys. Rev. Lett. 103, 152304 (2009).
  19. S. I. Finazzo and J. Noronha, J. High Energy Phys. 11 (2013) 042.
  20. H. Liu, K. Rajagopal, and U. A. Wiedemann, Phys. Rev. Lett. 98, 182301 (2007).
  21. S. I. Finazzo and J. Noronha, J. High Energy Phys. 01 (2015) 051.
  22. M. Ali-Akbari, D. Giataganas, and Z. Rezaei, Phys. Rev. D 90, 086001 (2014).
  23. K. B. Fadafan and S. K. Tabatabaei, Eur. Phys. J. C 74, 2842 (2014).
  24. K. Bitaghsir Fadafan and S. K. Tabatabaei, J. Phys. G 43, 095001 (2016).
  25. J. Sadeghi and S. Tahery, J. High Energy Phys. 06 (2015) 204.
  26. N. R. F. Braga and L. F. Ferreira, Phys. Rev. D 94, 094019 (2016).
  27. Z. q. Zhang and X. Zhu, Phys. Lett. B 793, 200 (2019).
  28. Z. q. Zhang, X. Zhu, and D. f. Hou, Nucl. Phys. B989, 116149 (2023).
  29. K. Bitaghsir Fadafan, D. Giataganas, and H. Soltanpanahi, J. High Energy Phys. 11 (2013) 107.
  30. Z. q. Zhang, D. f. Hou, and G. Chen, Phys. Lett. B 768, 180 (2017).
  31. Z. q. Zhang and D. f. Hou, Phys. Lett. B 778, 227 (2018).
  32. Y. Q. Zhao, Z. R. Zhu, and X. Chen, Eur. Phys. J. A 56, 57 (2020).
  33. M. Kioumarsipour and J. Sadeghi, Eur. Phys. J. C 81, 735 (2021).
  34. M. Kioumarsipour and B. Khanpour, Phys. Lett. B 855, 138791 (2024).
  35. J. L. Albacete, Y. V. Kovchegov, and A. Taliotis, Phys. Rev. D 78, 115007 (2008).
  36. C. Erices and C. Martinez, Phys. Rev. D 97, 024034 (2018).
  37. M. Bravo Gaete, L. Guajardo, and M. Hassaine, J. High Energy Phys. 04 (2017) 092.
  38. A. M. Awad, Classical Quantum Gravity 20, 2827 (2003).
  39. J. Zhou, S. Zhang, J. Chen, L. Zhang, and X. Chen, Phys. Lett. B 844, 138116 (2023).
  40. I. Y. Aref’eva, A. A. Golubtsova, and E. Gourgoulhon, J. High Energy Phys. 04 (2021) 169.
  41. A. A. Golubtsova, E. Gourgoulhon, and M. K. Usova, Nucl. Phys. B979, 115786 (2022).
  42. I. Aref’eva, A. Golubtsova, and E. Gourgoulhon, Phys. Part. Nucl. 51, 535 (2020).
  43. S. W. Hawking, C. J. Hunter, and M. Taylor, Phys. Rev. D 59, 064005 (1999).
  44. G. W. Gibbons, M. J. Perry, and C. N. Pope, Classical Quantum Gravity 22, 1503 (2005).
  45. G. W. Gibbons, H. Lu, D. N. Page, and C. N. Pope, Phys. Rev. Lett. 93, 171102 (2004).
  46. M. Garbiso and M. Kaminski, J. High Energy Phys. 12 (2020) 112.
  47. M. A. G. Amano, C. Cartwright, M. Kaminski, and J. Wu, Prog. Part. Nucl. Phys. 139, 104135 (2024).
  48. K. Murata, Prog. Theor. Phys. 121, 1099 (2009).
  49. D. Bak, A. Karch, and L. G. Yaffe, J. High Energy Phys. 08 (2007) 049.
  50. Z. R. Zhu, S. Wang, X. Chen, J. X. Chen, and D. Hou, Phys. Rev. D 110, 126008 (2024).
  51. Z. R. Zhu, M. Sun, R. Zhou, Z. Ma, and J. Han, Eur. Phys. J. C 84, 1252 (2024).

Outline

Information

Phys. Rev. D 112, 026012– Published 7 July, 2025
  • Received 7 April 2025
  • Accepted 5 June 2025
Crossmark - Check for updates button
Creative Commons Logo

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation