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Characterizing radial flow fluctuations in relativistic heavy-ion collisions at top RHIC and LHC energies

Lipei Du

Phys. Rev. C 113, 014901 – Published 6 January, 2026

DOI: https://doi.org/10.1103/9pvq-ph1c

Abstract

This study presents a systematic investigation of the transverse-momentum differential radial flow fluctuations observable v0(pT) in relativistic heavy-ion collisions at top Relativistic Heavy Ion Collider (sNN=200 GeV) and Large Hadron Collider (sNN=2.76 and 5.02 TeV) energies. Using a multistage hydrodynamic model, this study assesses the sensitivity of v0(pT) to a wide range of physical effects, including bulk and shear viscosities, off-equilibrium corrections at particlization, the presence of a hadronic afterburner, and the nucleon size in the initial conditions. By employing complementary rescaling strategies, this study demonstrates how different physical effects leave distinct imprints on the shape of v0(pT). A combined double-rescaling of v0(pT)/v0 versus pT/〈pT〉 reveals a universality across a wide range of energies and model assumptions in the low-pT regime, a robust signature of collective behavior. This allows us to disentangle the universal dynamics of the bulk medium from model-specific features that emerge at higher pT. These results establish v0(pT) as a powerful and complementary observable for constraining quark-gluon plasma transport properties and initial-state granularity, offering a unique probe of the created QCD medium.

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References (41)

  1. J.-Y. Ollitrault, Anisotropy as a signature of transverse collective flow, Phys. Rev. D 46, 229 (1992).
  2. S. A. Voloshin, A. M. Poskanzer, and R. Snellings, Collective phenomena in non-central nuclear collisions, Landolt-Bornstein 23, 293 (2010).
  3. H. Song, S. A. Bass, U. Heinz, T. Hirano, and C. Shen, 200A GeV Au+Au collisions serve a nearly perfect quark-gluon liquid, Phys. Rev. Lett. 106, 192301 (2011),; 109, 139904 (2012).
  4. U. Heinz and R. Snellings, Collective flow and viscosity in relativistic heavy-ion collisions, Annu. Rev. Nucl. Part. Sci. 63, 123 (2013).
  5. J. E. Bernhard, J. S. Moreland, and S. A. Bass, Bayesian estimation of the specific shear and bulk viscosity of quark–gluon plasma, Nat. Phys. 15, 1113 (2019).
  6. E. Schnedermann, J. Sollfrank, and U. W. Heinz, Thermal phenomenology of hadrons from 200A GeV S + S collisions, Phys. Rev. C 48, 2462 (1993).
  7. Z. Tang, Y. Xu, L. Ruan, G. van Buren, F. Wang, and Z. Xu, Spectra and radial flow at RHIC with Tsallis statistics in a blast-wave description, Phys. Rev. C 79, 051901 (2009).
  8. L. Du, Multimessenger study of baryon-charged QCD matter in heavy-ion collisions, Phys. Lett. B 861, 139270 (2025).
  9. L. Du and U. Heinz, Electromagnetic tomography of radial flow in the quark-gluon plasma, arXiv:2505.20752 [hep-ph].
  10. F. G. Gardim, F. Grassi, P. Ishida, M. Luzum, and Jean-Yves Ollitrault, pT-dependent particle number fluctuations from principal-component analyses in hydrodynamic simulations of heavy-ion collisions, Phys. Rev. C 100, 054905 (2019).
  11. B. Schenke, C. Shen, and D. Teaney, Transverse momentum fluctuations and their correlation with elliptic flow in nuclear collision, Phys. Rev. C 102, 034905 (2020).
  12. T. Parida, R. Samanta, and J.-Y. Ollitrault, Probing collectivity in heavy-ion collisions with fluctuations of the pT spectrum, Phys. Lett. B 857, 138985 (2024).
  13. G. Aad, et al. (ATLAS), Evidence for the collective nature of radial flow in Pb+Pb collisions with the ATLAS detector, arXiv:2503.24125 [nucl-ex].
  14. S. Acharya, et al. (ALICE), Long-range transverse momentum correlations and radial flow in Pb−Pb collisions at the LHC, arXiv:2504.04796 [nucl-ex].
  15. J. Gong, H. Roch, and C. Shen, Gaussian-process generative model for the QCD equation of state, Phys. Rev. C 111, 044912 (2025).
  16. S. Saha, R. Singh, and B. Mohanty, pT-differential radial flow in blast-wave model, Phys. Rev. C 112, 024902 (2025).
  17. S. A. Jahan, H. Roch, and C. Shen, Bayesian model selection and uncertainty propagation for beam energy scan heavy-ion collisions, arXiv:2507.11394.
  18. D. Everett, et al. (JETSCAPE), Phenomenological constraints on the transport properties of QCD matter with data-driven model averaging, Phys. Rev. Lett. 126, 242301 (2021).
  19. D. Everett, et al. (JETSCAPE), Multisystem Bayesian constraints on the transport coefficients of QCD matter, Phys. Rev. C 103, 054904 (2021).
  20. D. Everett, et al. (JETSCAPE), Role of bulk viscosity in deuteron production in ultrarelativistic nuclear collisions, Phys. Rev. C 106, 064901 (2022).
  21. J. H. Putschke, et al., The JETSCAPE framework, arXiv:1903.07706 [nucl-th].
  22. J. S. Moreland, J. E. Bernhard, and S. A. Bass, Alternative ansatz to wounded nucleon and binary collision scaling in high-energy nuclear collisions, Phys. Rev. C 92, 011901 (2015).
  23. W. Broniowski, W. Florkowski, M. Chojnacki, and A. Kisiel, Free-streaming approximation in early dynamics of relativistic heavy-ion collisions, Phys. Rev. C 80, 034902 (2009).
  24. J. Liu, C. Shen, and U. Heinz, Pre-equilibrium evolution effects on heavy-ion collision observables, Phys. Rev. C 91, 064906 (2015),; 92, 049904 (2015).
  25. B. Schenke, S. Jeon, and C. Gale, (3+1)D hydrodynamic simulation of relativistic heavy-ion collisions, Phys. Rev. C 82, 014903 (2010).
  26. B. Schenke, S. Jeon, and C. Gale, Higher flow harmonics from (3+1)D event-by-event viscous hydrodynamics, Phys. Rev. C 85, 024901 (2012).
  27. J.-F. Paquet, C. Shen, G. S. Denicol, M. Luzum, B. Schenke, S. Jeon, and C. Gale, Production of photons in relativistic heavy-ion collisions, Phys. Rev. C 93, 044906 (2016).
  28. A. Bazavov, et al. (HotQCD), Equation of state in(2+1)-flavor QCD, Phys. Rev. D 90, 094503 (2014).
  29. J. Weil, et al. (SMASH), Particle production and equilibrium properties within a new hadron transport approach for heavy-ion collisions, Phys. Rev. C 94, 054905 (2016).
  30. F. Cooper and G. Frye, Comment on the single particle distribution in the hydrodynamic and statistical thermodynamic models of multiparticle production, Phys. Rev. D 10, 186 (1974).
  31. C. Shen, Z. Qiu, H. Song, J. Bernhard, S. Bass, and U. Heinz, The iEBE-VISHNU code package for relativistic heavy-ion collisions, Comput. Phys. Commun. 199, 61 (2016).
  32. M. McNelis, D. Everett, and U. Heinz, Particlization in fluid dynamical simulations of heavy-ion collisions: The iS3D module, Comput. Phys. Commun. 258, 107604 (2021).
  33. S. S. Adler, et al. (PHENIX), Identified charged particle spectra and yields in Au+Au collisions at sNN = 200 GeV, Phys. Rev. C 69, 034909 (2004).
  34. J. Adams, et al. (STAR), Azimuthal anisotropy in Au+Au collisions at sNN = 200 GeV, Phys. Rev. C 72, 014904 (2005).
  35. S. Bhatta, A. Dimri, and J. Jia, Disentangling the global multiplicity and spectral shape fluctuations in radial flow, arXiv:2504.20008 [nucl-th].
  36. J. Jia, Understanding radial flow fluctuations through event-by-event momentum rescaling, arXiv:2507.14399 [nucl-th].
  37. J. Noronha-Hostler, G. S. Denicol, J. Noronha, R. P. G. Andrade, and F. Grassi, Bulk viscosity effects in event-by-event relativistic hydrodynamics, Phys. Rev. C 88, 044916 (2013).
  38. S. Ryu, J. F. Paquet, C. Shen, G. S. Denicol, B. Schenke, S. Jeon, and C. Gale, Importance of the bulk viscosity of QCD in ultrarelativistic heavy-ion collisions, Phys. Rev. Lett. 115, 132301 (2015).
  39. H. Song and U. W Heinz, Interplay of shear and bulk viscosity in generating flow in heavy-ion collisions, Phys. Rev. C 81, 024905 (2010).
  40. Ohio supercomputer center (1987).
  41. L. Du, Characterizing radial flow fluctuations in relativistic heavy-ion collisions at top RHIC and LHC energies, Zenodo, (2025), https://doi.org/10.5281/zenodo.17808246.

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