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Longitudinal spin polarization in a thermal model with dissipative corrections

Soham Banerjee1,*, Samapan Bhadury2,†, Wojciech Florkowski2,‡, Amaresh Jaiswal1,2,§, and Radoslaw Ryblewski3,∥

  • *Contact author: soham.banerjee@niser.ac.in
  • †Contact author: samapan.bhadury@uj.edu.pl
  • ‡Contact author: wojciech.florkowski@uj.edu.pl
  • §Contact author: a.jaiswal@niser.ac.in
  • ∥Contact author: radoslaw.ryblewski@ifj.edu.pl

Phys. Rev. C 111, 064912 – Published 26 June, 2025

DOI: https://doi.org/10.1103/923l-yxkc

Abstract

In this work, we address the problem of longitudinal spin polarization of the Λ hyperons produced in relativistic heavy-ion collisions. We combine a relativistic kinetic-theory framework that includes spin degrees of freedom treated in a classical way with the freeze-out parametrization used in previous investigations. The use of the kinetic theory allows us to incorporate dissipative corrections (due to the thermal shear and gradients of thermal vorticity) into the Pauli-Lubanski vector that determines spin polarization and can be directly compared with the experimental data. As in earlier similar studies, it turns out that a successful description of data can only be achieved with additional assumptions—in our case, they involve the use of projected thermal vorticity and a suitably adjusted time for spin relaxation (τs). From our analysis, we find that τs∼5fm/c, which is comparable with other estimates.

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References (62)

  1. L. Adamczyk et al. (The STAR Collaboration), Nature (London) 548, 62 (2017).
  2. J. Adam et al. (STAR Collaboration), Phys. Rev. C 98, 014910 (2018).
  3. J. Adam et al. (STAR Collaboration), Phys. Rev. Lett. 123, 132301 (2019).
  4. S. Acharya et al. (The ALICE Collaboration), Phys. Rev. Lett. 125, 012301 (2020).
  5. T. Niida and S. A. Voloshin, Int. J. Mod. Phys. E 33, 2430010 (2024).
  6. Z.-T. Liang and X.-N. Wang, Phys. Rev. Lett. 94, 102301 (2005); 96, 039901(E) (2006).
  7. Z.-T. Liang and X.-N. Wang, Phys. Lett. B 629, 20 (2005).
  8. F. Becattini and L. Tinti, Ann. Phys. 325, 1566 (2010).
  9. D. Montenegro, L. Tinti, and G. Torrieri, Phys. Rev. D 96, 056012 (2017); 96, 079901(E) (2017).
  10. D. Montenegro, L. Tinti, and G. Torrieri, Phys. Rev. D 96, 076016 (2017).
  11. W. Florkowski, B. Friman, A. Jaiswal, and E. Speranza, Phys. Rev. C 97, 041901(R) (2018).
  12. W. Florkowski, B. Friman, A. Jaiswal, R. Ryblewski, and E. Speranza, Phys. Rev. D 97, 116017 (2018).
  13. W. Florkowski, A. Kumar, and R. Ryblewski, Phys. Rev. C 98, 044906 (2018).
  14. Y. Sun and C. M. Ko, Phys. Rev. C 99, 011903(R) (2019).
  15. K. Hattori, M. Hongo, X.-G. Huang, M. Matsuo, and H. Taya, Phys. Lett. B 795, 100 (2019).
  16. Y. Xie, D. Wang, and L. P. Csernai, Eur. Phys. J. C 80, 39 (2020).
  17. W. Florkowski, A. Kumar, R. Ryblewski, and R. Singh, Phys. Rev. C 99, 044910 (2019).
  18. N. Weickgenannt, X.-L. Sheng, E. Speranza, Q. Wang, and D. H. Rischke, Phys. Rev. D 100, 056018 (2019).
  19. N. Weickgenannt, E. Speranza, X. L. Sheng, Q. Wang, and D. H. Rischke, Phys. Rev. Lett. 127, 052301 (2021).
  20. S. Bhadury, W. Florkowski, A. Jaiswal, A. Kumar, and R. Ryblewski, Phys. Rev. D 103, 014030 (2021).
  21. S. Shi, C. Gale, and S. Jeon, Phys. Rev. C 103, 044906 (2021).
  22. R. Singh, G. Sophys, and R. Ryblewski, Phys. Rev. D 103, 074024 (2021).
  23. C. Yi, S. Pu, and D.-L. Yang, Phys. Rev. C 104, 064901 (2021).
  24. D.-L. Wang, S. Fang, and S. Pu, Phys. Rev. D 104, 114043 (2021).
  25. M. Hongo, X.-G. Huang, M. Kaminski, M. Stephanov, and H.-U. Yee, J. High Energy Phys. 11 (2021) 150.
  26. W. Florkowski, R. Ryblewski, R. Singh, and G. Sophys, Phys. Rev. D 105, 054007 (2022).
  27. D.-L. Wang, X.-Q. Xie, S. Fang, and S. Pu, Phys. Rev. D 105, 114050 (2022).
  28. M. Hongo, X.-G. Huang, M. Kaminski, M. Stephanov, and H.-U. Yee, J. High Energy Phys. 08 (2022) 263.
  29. N. Weickgenannt, D. Wagner, E. Speranza, and D. H. Rischke, Phys. Rev. D 106, 096014 (2022).
  30. G. Sarwar, M. Hasanujjaman, J. R. Bhatt, H. Mishra, and J.-e. Alam, Phys. Rev. D 107, 054031 (2023).
  31. D. Wagner, N. Weickgenannt, and D. H. Rischke, Phys. Rev. D 106, 116021 (2022).
  32. A. Kumar, B. Müller, and D.-L. Yang, Phys. Rev. D 107, 076025 (2023).
  33. R. Biswas, A. Daher, A. Das, W. Florkowski, and R. Ryblewski, Phys. Rev. D 108, 014024 (2023).
  34. N. Weickgenannt, Phys. Rev. D 108, 076011 (2023).
  35. M. Kiamari, N. Sadooghi, and M. Sedighi Jafari, Phys. Rev. D 109, 036024 (2024).
  36. S. Fang, S. Pu, and D.-L. Yang, Phys. Rev. D 109, 034034 (2024).
  37. A. Kumar, D.-L. Yang, and P. Gubler, Phys. Rev. D 109, 054038 (2024).
  38. F. Becattini, Lect. Notes Phys. 987, 15 (2021).
  39. E. Speranza and N. Weickgenannt, Eur. Phys. J. A 57, 155 (2021).
  40. F. Becattini, V. Chandra, L. Del Zanna, and E. Grossi, Ann. Phys. 338, 32 (2013).
  41. F. Becattini and I. Karpenko, Phys. Rev. Lett. 120, 012302 (2018).
  42. W. Florkowski, A. Kumar, A. Mazeliauskas, and R. Ryblewski, Phys. Rev. C 100, 054907 (2019).
  43. W. Florkowski, A. Kumar, A. Mazeliauskas, and R. Ryblewski, Phys. Rev. C 105, 064901 (2022).
  44. W. Florkowski, A. Kumar, and R. Ryblewski, Prog. Part. Nucl. Phys. 108, 103709 (2019).
  45. S. Bhadury, W. Florkowski, A. Jaiswal, A. Kumar, and R. Ryblewski, Phys. Lett. B 814, 136096 (2021).
  46. S. Bhadury, W. Florkowski, A. Jaiswal, A. Kumar, and R. Ryblewski, Phys. Rev. Lett. 129, 192301 (2022).
  47. B. Fu, S. Y. F. Liu, L. Pang, H. Song, and Y. Yin, Phys. Rev. Lett. 127, 142301 (2021).
  48. F. Becattini, M. Buzzegoli, and A. Palermo, Phys. Lett. B 820, 136519 (2021).
  49. F. Becattini, M. Buzzegoli, A. Palermo, G. Inghirami, and I. Karpenko, Phys. Rev. Lett. 127, 272302 (2021).
  50. W. Broniowski, A. Baran, and W. Florkowski, AIP Conf. Proc. 660, 185 (2003).
  51. S. A. Voloshin, EPJ Web Conf. 171, 07002 (2018).
  52. J. I. Kapusta, E. Rrapaj, and S. Rudaz, Phys. Rev. C 101, 024907 (2020).
  53. A. Ayala, D. de la Cruz, L. A. Hernández, and J. Salinas, Phys. Rev. D 102, 056019 (2020).
  54. A. Kumar, B. Müller, and D.-L. Yang, Phys. Rev. D 108, 016020 (2023).
  55. Y. Hidaka, M. Hongo, M. Stephanov, and H.-U. Yee, Phys. Rev. C 109, 054909 (2024).
  56. D. Wagner, M. Shokri, and D. H. Rischke, Phys. Rev. Res. 6, 043103 (2024).
  57. W. Broniowski and W. Florkowski, Phys. Rev. Lett. 87, 272302 (2001).
  58. W. Florkowski, W. Broniowski, and M. Michalec, Acta Phys. Polon. B 33, 761 (2002).
  59. A. Baran, Description of azimuthal asymmetry in relativistic heavy-ion collisions based on a thermal model of particle production, Ph.D. thesis, Institute of Nuclear Physics, Krakow, Poland, 2004.
  60. A. Bazavov et al.(HotQCD Collaboration), Phys. Rev. D 90, 094503 (2014).
  61. P. A. Zyla et al. (Particle Data Group), PTEP 2020, 083C01 (2020).
  62. S. R. De Groot, in Relativistic Kinetic Theory: Principles and Applications, edited by W. A. Van Leeuwen and C. G. Van Weert (Elsevier Science Ltd., Amsterdam, 1980).

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