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  • Letter
  • Open Access

Regeneration of bottomonia in an open quantum systems approach

Nora Brambilla1,2,3, Miguel Ángel Escobedo4,5, Ajaharul Islam6, Michael Strickland6, Anurag Tiwari6, Antonio Vairo1, and Peter Vander Griend7,8

  • 1Physik-Department, Technische Universität München, James-Franck-Str. 1, 85748 Garching, Germany
  • 2Institute for Advanced Study, Technische Universität München, Lichtenbergstrasse 2 a, 85748 Garching, Germany
  • 3Munich Data Science Institute, Technische Universität München, Walther-von-Dyck-Strasse 10, 85748 Garching, Germany
  • 4Instituto Galego de Física de Altas Enerxías (IGFAE), Universidade de Santiago de Compostela, E-15782 Galicia, Spain
  • 5Departament de Física Quàntica i Astrofísica and Institut de Ciències del Cosmos, Universitat de Barcelona, Martí i Franquès 1, 08028 Barcelona, Spain
  • 6Department of Physics, Kent State University, Kent, Ohio 44242, USA
  • 7Department of Physics and Astronomy, University of Kentucky, Lexington, Kentucky 40506, USA
  • 8Theoretical Physics Department, Fermilab, P.O. Box 500, Batavia, Illinois 60510, USA

Phys. Rev. D 108, L011502 – Published 26 July, 2023

DOI: https://doi.org/10.1103/PhysRevD.108.L011502

Abstract

We demonstrate the importance of quantum jumps in the nonequilibrium evolution of bottomonium states in the quark-gluon plasma. Based on nonrelativistic effective field theory and the open quantum system framework, we evolve the density matrix of color singlet and octet pairs. We show that quantum regeneration of singlet states from octet configurations is necessary to understand experimental results for the suppression of both bottomonium ground and excited states. The values of the heavy-quarkonium transport coefficients used are consistent with recent lattice QCD determinations.

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References (64)

  1. S. Acharya et al. (ALICE Collaboration), Phys. Lett. B 822, 136579 (2021).
  2. ATLAS Collaboration, Phys. Rev. C 107, 054912 (2023).
  3. A. M. Sirunyan et al. (CMS Collaboration), Phys. Lett. B 790, 270 (2019).
  4. A. M. Sirunyan et al. (CMS Collaboration), Phys. Rev. Lett. 120, 142301 (2018).
  5. A. M. Sirunyan et al. (CMS Collaboration), Phys. Lett. B 819, 136385 (2021).
  6. S. Acharya et al. (ALICE Collaboration), Phys. Rev. Lett. 123, 192301 (2019).
  7. L. Adamczyk et al. (STAR Collaboration), Phys. Lett. B 735, 127 (2014); 743, 537(E) (2015).
  8. A. Adare et al. (PHENIX Collaboration), Phys. Rev. C 91, 024913 (2015).
  9. L. Adamczyk et al. (STAR Collaboration), Phys. Rev. C 94, 064904 (2016).
  10. CMS Collaboration, Observation of the ϒ(3S) meson and sequential suppression of ϒ states in PbPb collisions at sNN=5.02  TeV, CERN Technical Report No. CMS-HIN-21-007, 2022.
  11. STAR Collaboration, Phys. Rev. Lett. 130, 112301 (2023).
  12. T. Matsui and H. Satz, Phys. Lett. B 178, 416 (1986).
  13. M. Laine, O. Philipsen, P. Romatschke, and M. Tassler, J. High Energy Phys. 03 (2007) 054.
  14. N. Brambilla, J. Ghiglieri, A. Vairo, and P. Petreczky, Phys. Rev. D 78, 014017 (2008).
  15. A. Beraudo, J.-P. Blaizot, and C. Ratti, Nucl. Phys. A806, 312 (2008).
  16. M. A. Escobedo and J. Soto, Phys. Rev. A 78, 032520 (2008).
  17. A. Dumitru, Y. Guo, and M. Strickland, Phys. Rev. D 79, 114003 (2009).
  18. N. Brambilla, M. A. Escobedo, J. Ghiglieri, J. Soto, and A. Vairo, J. High Energy Phys. 09 (2010) 038.
  19. N. Brambilla, M. A. Escobedo, J. Ghiglieri, and A. Vairo, J. High Energy Phys. 12 (2011) 116.
  20. N. Brambilla, M. A. Escobedo, J. Ghiglieri, and A. Vairo, J. High Energy Phys. 05 (2013) 130.
  21. N. Brambilla, M. A. Escobedo, J. Soto, and A. Vairo, Phys. Rev. D 96, 034021 (2017).
  22. N. Brambilla, M. A. Escobedo, J. Soto, and A. Vairo, Phys. Rev. D 97, 074009 (2018).
  23. R. Larsen, S. Meinel, S. Mukherjee, and P. Petreczky, Phys. Rev. D 100, 074506 (2019).
  24. D. Bala, O. Kaczmarek, R. Larsen, S. Mukherjee, G. Parkar, P. Petreczky, A. Rothkopf, and J. H. Weber (HotQCD Collaboration), Phys. Rev. D 105, 054513 (2022).
  25. N. Brambilla, M. A. Escobedo, A. Vairo, and P. Vander Griend, Phys. Rev. D 100, 054025 (2019).
  26. G. Aarts, C. Allton, S. Kim, M. P. Lombardo, M. B. Oktay, S. M. Ryan, D. K. Sinclair, and J. I. Skullerud, J. High Energy Phys. 11 (2011) 103.
  27. S. Kim, P. Petreczky, and A. Rothkopf, J. High Energy Phys. 11 (2018) 088.
  28. We find, intriguingly, that the phenomenological heavy quarkonium suppression results reported in this work favor a value of κ^ that is consistent with its most recent lattice determinations and a value of γ^ around zero. We also remark that recent lattice studies [29] of the heavy-quark momentum diffusion coefficient (a quantity related to κ^ but in the fundamental rather than adjoint representation) have found larger values than previous calculations [30, 31, 32, 33, 34].

  29. L. Altenkort, O. Kaczmarek, R. Larsen, S. Mukherjee, P. Petreczky, H.-T. Shu, and S. Stendebach, Phys. Rev. Lett. 130, 231902 (2023).
  30. H. B. Meyer, New J. Phys. 13, 035008 (2011).
  31. D. Banerjee, S. Datta, R. Gavai, and P. Majumdar, Phys. Rev. D 85, 014510 (2012).
  32. A. Francis, O. Kaczmarek, M. Laine, T. Neuhaus, and H. Ohno, Phys. Rev. D 92, 116003 (2015).
  33. N. Brambilla, V. Leino, P. Petreczky, and A. Vairo, Phys. Rev. D 102, 074503 (2020).
  34. L. Altenkort, A. M. Eller, O. Kaczmarek, L. Mazur, G. D. Moore, and H.-T. Shu, Phys. Rev. D 103, 014511 (2021).
  35. A. Pineda and J. Soto, Nucl. Phys. B, Proc. Suppl. 64, 428 (1998).
  36. N. Brambilla, A. Pineda, J. Soto, and A. Vairo, Nucl. Phys. B566, 275 (2000).
  37. N. Brambilla, A. Pineda, J. Soto, and A. Vairo, Rev. Mod. Phys. 77, 1423 (2005).
  38. H. Breuer and F. Petruccione, The Theory of Open Quantum Systems (Oxford University Press, Oxford, 2002).
  39. In [40], we obtained a reasonable description of the bottomonium nuclear modification factor by neglecting some quantum effects (quantum jumps). However, increased statistics and new observables from heavy-ion collision experiments on bottomonium suppression call for a full quantum description, as we shall argue in the rest of the Letter.

  40. N. Brambilla, M. A. Escobedo, A. Islam, M. Strickland, A. Tiwari, A. Vairo, and P. Vander Griend, J. High Energy Phys. 08 (2022) 303.
  41. W. Caswell and G. Lepage, Phys. Lett. 167B, 437 (1986).
  42. G. T. Bodwin, E. Braaten, and G. Lepage, Phys. Rev. D 51, 1125 (1995); 55, 5853(E) (1997).
  43. V. Gorini, A. Kossakowski, and E. Sudarshan, J. Math. Phys. (N.Y.) 17, 821 (1976).
  44. G. Lindblad, Commun. Math. Phys. 48, 119 (1976).
  45. N. Brambilla, M. A. Escobedo, M. Strickland, A. Vairo, P. Vander Griend, and J. H. Weber, J. High Energy Phys. 05 (2021) 136.
  46. N. Brambilla, M. A. Escobedo, M. Strickland, A. Vairo, P. Vander Griend, and J. H. Weber, Phys. Rev. D 104, 094049 (2021).
  47. H. B. Omar, M. A. Escobedo, A. Islam, M. Strickland, S. Thapa, P. Vander Griend, and J. H. Weber, Comput. Phys. Commun. 273, 108266 (2022).
  48. A. J. Daley, Adv. Phys. 63, 77 (2014).
  49. Y. Akamatsu, Prog. Part. Nucl. Phys. 123, 103932 (2022).
  50. A. M. Eller, J. Ghiglieri, and G. D. Moore, Phys. Rev. D 99, 094042 (2019); 102, 039901(E) (2020).
  51. M. Alqahtani and M. Strickland, Eur. Phys. J. C 81, 1022 (2021).
  52. For details concerning the hydrodynamic temperature evolution see Refs. [40, 45, 46] wherein the same hydrodynamic evolution [51] was used.

  53. For details concerning the quantum trajectories method used see Refs. [40, 47].

  54. The term quantum trajectory has to be understood in the context of the Quantum Trajectory Method used to solve the Lindblad equation [55]. Physical trajectories are the trajectories that quarkonium follows in physical space according to the initial conditions.

  55. J. Dalibard, Y. Castin, and K. Molmer, Phys. Rev. Lett. 68, 580 (1992).
  56. H. Alalawi, J. Boyd, C. Shen, and M. Strickland, Phys. Rev. C 107, L031901 (2023).
  57. This lower temperature cutoff ensures that the NLO corrections to the bottomonium decay widths remain less than 50%, as discussed in Ref. [40].

  58. R. L. Workman and Others (Particle Data Group), Prog. Theor. Exp. Phys. 2022, 083C01 (2022).
  59. See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevD.108.L011502, for an analysis of the agreement of our model predictions with experimental data for all parameter values considered in the manuscript.
  60. J.-P. Blaizot and M. A. Escobedo, Phys. Rev. D 98, 074007 (2018).
  61. X. Yao and T. Mehen, Phys. Rev. D 99, 096028 (2019).
  62. X. Yao, W. Ke, Y. Xu, S. A. Bass, and B. Müller, J. High Energy Phys. 01 (2021) 046.
  63. X. Yao and T. Mehen, J. High Energy Phys. 02 (2021) 062.
  64. T. Miura, Y. Akamatsu, M. Asakawa, and Y. Kaida, Phys. Rev. D 106, 074001 (2022).

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