- Editors' Suggestion
- Open Access
Evidence of Nuclear Geometry-Driven Anisotropic Flow in and Collisions at
Phys. Rev. Lett. 137, 082301 – Published 17 August, 2026
DOI: https://doi.org/10.1103/gymp-vp87
Abstract
A central question in strong-interaction physics, governed by quantum chromodynamics (QCD), is whether femtoscale droplets of quark-gluon plasma form in small collision systems involving projectiles significantly smaller than heavy ions. Collisions of light ions such as and offer a unique opportunity to probe the emergence of collective behavior in QCD matter. This Letter presents the first measurements of the elliptic () and triangular () flow of charged particles in and collisions at a center-of-mass energy per nucleon pair of with the ALICE detector. The hydrodynamic model predictions, explicitly incorporating the nuclear structures of and , exhibit a good agreement with the flow measurements presented. The observed increase of in central Ne–Ne collisions relative to OO collisions, driven by the nuclear geometries, highlights the importance of utilizing light nuclei with well-defined geometric shapes to constrain the initial conditions. These findings support the presence of nuclear geometry-driven hydrodynamic flow in light-ion collisions at the LHC.
Physics Subject Headings (PhySH)
See Also
Observation of Long-Range Collective Flow in and Collisions and Implications for Nuclear Structure Studies
Article Text
References (103)
- J. Adams et al. (STAR Collaboration), Experimental and theoretical challenges in the search for the quark gluon plasma: The STAR Collaboration’s critical assessment of the evidence from RHIC collisions, Nucl. Phys. A757, 102 (2005).
- K. Adcox et al. (PHENIX Collaboration), Formation of dense partonic matter in relativistic nucleus-nucleus collisions at RHIC: Experimental evaluation by the PHENIX Collaboration, Nucl. Phys. A757, 184 (2005).
- B. B. Back et al. (PHOBOS Collaboration), The PHOBOS perspective on discoveries at RHIC, Nucl. Phys. A757, 28 (2005).
- S. Acharya et al. (ALICE Collaboration), The ALICE experiment: A journey through QCD, Eur. Phys. J. C 84, 813 (2024).
- A. Hayrapetyan et al. (CMS Collaboration), Overview of high-density QCD studies with the CMS experiment at the LHC, Phys. Rep. 1115, 219 (2025).
- J.-Y. Ollitrault, Anisotropy as a signature of transverse collective flow, Phys. Rev. D 46, 229 (1992).
- K. Aamodt et al. (ALICE Collaboration), Higher harmonic anisotropic flow measurements of charged particles in Pb–Pb collisions at , Phys. Rev. Lett. 107, 032301 (2011).
- B. Abelev et al. (ALICE Collaboration), Elliptic flow of identified hadrons in Pb-Pb collisions at , J. High Energy Phys. 06 (2015) 190.
- J. Adam et al. (ALICE Collaboration), Anisotropic flow of charged particles in Pb-Pb collisions at , Phys. Rev. Lett. 116, 132302 (2016).
- S. Acharya et al. (ALICE Collaboration), Anisotropic flow in Xe-Xe collisions at , Phys. Lett. B 784, 82 (2018).
- S. Acharya et al. (ALICE Collaboration), Investigations of anisotropic flow using multiparticle azimuthal correlations in , p-Pb, Xe-Xe, and Pb-Pb collisions at the LHC, Phys. Rev. Lett. 123, 142301 (2019).
- S. Acharya et al. (ALICE Collaboration), Anisotropic flow and flow fluctuations of identified hadrons in Pb–Pb collisions at , J. High Energy Phys. 05 (2023) 243.
- G. Aad et al. (ATLAS Collaboration), Measurement of the azimuthal anisotropy for charged particle production in lead-lead collisions with the ATLAS detector, Phys. Rev. C 86, 014907 (2012).
- G. Aad et al. (ATLAS Collaboration), Measurement of the azimuthal anisotropy of charged-particle production in Xe–Xe collisions at with the ATLAS detector, Phys. Rev. C 101, 024906 (2020).
- S. Chatrchyan et al. (CMS Collaboration), Measurement of higher-order harmonic azimuthal anisotropy in Pb–Pb collisions at , Phys. Rev. C 89, 044906 (2014).
- A. M. Sirunyan et al. (CMS Collaboration), Charged-particle angular correlations in Xe–Xe collisions at , Phys. Rev. C 100, 044902 (2019).
- U. Heinz and R. Snellings, Collective flow and viscosity in relativistic heavy-ion collisions, Annu. Rev. Nucl. Part. Sci. 63, 123 (2013).
- J. E. Bernhard, J. S. Moreland, S. A. Bass, J. Liu, and U. Heinz, Applying Bayesian parameter estimation to relativistic heavy-ion collisions: Simultaneous characterization of the initial state and quark-gluon plasma medium, Phys. Rev. C 94, 024907 (2016).
- D. Everett et al. (JETSCAPE Collaboration), Phenomenological constraints on the transport properties of QCD matter with data-driven model averaging, Phys. Rev. Lett. 126, 242301 (2021).
- G. Nijs, W. van der Schee, U. Gürsoy, and R. Snellings, Transverse momentum differential global analysis of heavy-ion collisions, Phys. Rev. Lett. 126, 202301 (2021).
- P. Kovtun, D. T. Son, and A. O. Starinets, Viscosity in strongly interacting quantum field theories from black hole physics, Phys. Rev. Lett. 94, 111601 (2005).
- Z. Citron et al., Report from working group 5: Future physics opportunities for high-density QCD at the LHC with heavy-ion and proton beams, CERN Yellow Rep. Monogr. 7, 1159 (2019).
- V. Khachatryan et al. (CMS Collaboration), Observation of long-range near-side angular correlations in proton-proton collisions at the LHC, J. High Energy Phys. 09 (2010) 091.
- B. Abelev et al. (ALICE Collaboration), Long-range angular correlations of , K and p in p-Pb collisions at , Phys. Lett. B 726, 164 (2013).
- V. Khachatryan et al. (CMS Collaboration), Long-range two-particle correlations of strange hadrons with charged particles in pPb and Pb–Pb collisions at LHC energies, Phys. Lett. B 742, 200 (2015).
- G. Aad et al. (ATLAS Collaboration), Observation of long-range elliptic azimuthal anisotropies in and 2.76 TeV collisions with the ATLAS detector, Phys. Rev. Lett. 116, 172301 (2016).
- PHENIX Collaboration, Creation of quark–gluon plasma droplets with three distinct geometries, Nat. Phys. 15, 214 (2019).
- A. M. Sirunyan et al. (CMS Collaboration), Elliptic flow of charm and strange hadrons in high-multiplicity pPb collisions at , Phys. Rev. Lett. 121, 082301 (2018).
- S. Acharya et al. (ALICE Collaboration), Measurements of long-range two-particle correlation over a wide pseudorapidity range in p–Pb collisions at , J. High Energy Phys. 01 (2024) 199.
- S. Acharya et al. (ALICE Collaboration), First observation of ultra-long-range azimuthal correlations in low multiplicity pp and p-Pb collisions at the LHC, arXiv:2504.02359.
- L. Adamczyk et al. (STAR Collaboration), Long-range pseudorapidity dihadron correlations in collisions at , Phys. Lett. B 747, 265 (2015).
- A. Adare et al. (PHENIX Collaboration), Measurement of long-range angular correlation and quadrupole anisotropy of pions and (anti)protons in central collisions at , Phys. Rev. Lett. 114, 192301 (2015).
- Y.-C. Chen et al. (Electron-Positron Alliance Collaboration), Long-range near-side correlation in collisions at 183–209 GeV with ALEPH archived data, Phys. Lett. B 856, 138957 (2024).
- M. I. Abdulhamid et al. (STAR Collaboration), Measurements of the elliptic and triangular azimuthal anisotropies in central , and collisions at , Phys. Rev. Lett. 130, 242301 (2023).
- S. Acharya et al. (ALICE Collaboration), Observation of partonic flow in proton-proton and proton-nucleus collisions, Nat. Commun. 17, 2585 (2026).
- V. Khachatryan et al. (CMS Collaboration), Evidence for collective multiparticle correlations in p-Pb collisions, Phys. Rev. Lett. 115, 012301 (2015).
- V. Khachatryan et al. (CMS Collaboration), Evidence for collectivity in pp collisions at the LHC, Phys. Lett. B 765, 193 (2017).
- M. Aaboud et al. (ATLAS Collaboration), Measurement of long-range multiparticle azimuthal correlations with the subevent cumulant method in pp and p–Pb collisions with the ATLAS detector at the CERN Large Hadron Collider, Phys. Rev. C 97, 024904 (2018).
- H. Song, Y. Zhou, and K. Gajdosova, Collective flow and hydrodynamics in large and small systems at the LHC, Nucl. Sci. Tech. 28, 99 (2017).
- J. L. Nagle and W. A. Zajc, Small system collectivity in relativistic hadronic and nuclear collisions, Annu. Rev. Nucl. Part. Sci. 68, 211 (2018).
- P. Christiansen and P. Van Mechelen, Soft QCD physics at the LHC: Highlights and opportunities, Annu. Rev. Nucl. Part. Sci. 75, 327 (2025).
- J. F. Grosse-Oetringhaus and U. A. Wiedemann, A decade of collectivity in small systems, Report No. CERN-TH-2024-110, arXiv:2407.07484.
- W. Zhao, C. M. Ko, Y.-X. Liu, G.-Y. Qin, and H. Song, Probing the partonic degrees of freedom in high-multiplicity p–Pb collisions at , Phys. Rev. Lett. 125, 072301 (2020).
- P. Bozek, Collective flow in p-Pb and d-Pb collisions at TeV energies, Phys. Rev. C 85, 014911 (2012).
- H. Mäntysaari, B. Schenke, C. Shen, and P. Tribedy, Imprints of fluctuating proton shapes on flow in proton-lead collisions at the LHC, Phys. Lett. B 772, 681 (2017).
- R. D. Weller and P. Romatschke, One fluid to rule them all: viscous hydrodynamic description of event-by-event central , and collisions at , Phys. Lett. B 774, 351 (2017).
- W. Zhao, Y. Zhou, H. Xu, W. Deng, and H. Song, Hydrodynamic collectivity in proton–proton collisions at 13 TeV, Phys. Lett. B 780, 495 (2018).
- W. Zhao, Y. Zhou, K. Murase, and H. Song, Searching for small droplets of hydrodynamic fluid in proton–proton collisions at the LHC, Eur. Phys. J. C 80, 846 (2020).
- L. He, T. Edmonds, Z.-W. Lin, F. Liu, D. Molnar, and F. Wang, Anisotropic parton escape is the dominant source of azimuthal anisotropy in transport models, Phys. Lett. B 753, 506 (2016).
- A. Kurkela, U. A. Wiedemann, and B. Wu, Nearly isentropic flow at sizeable , Phys. Lett. B 783, 274 (2018).
- Y. Wang, W. Zhao, and H. Song, Exploring the partonic collectivity in small systems at the LHC, Phys. Rev. C 113, 024901 (2026).
- B. Schenke, C. Shen, and P. Tribedy, Running the gamut of high energy nuclear collisions, Phys. Rev. C 102, 044905 (2020).
- H. Mäntysaari, B. Schenke, C. Shen, and W. Zhao, Bayesian inference of the fluctuating proton shape, Phys. Lett. B 833, 137348 (2022).
- S. Zhang, Y. G. Ma, J. H. Chen, W. B. He, and C. Zhong, Nuclear cluster structure effect on elliptic and triangular flows in heavy-ion collisions, Phys. Rev. C 95, 064904 (2017).
- G. Giacalone et al., Exploiting isotopes for precision characterizations of collectivity in small systems, Phys. Rev. Lett. 135, 012302 (2025).
- Y.-A. Li, S. Zhang, and Y.-G. Ma, Signatures of -clustering in by using a multiphase transport model, Phys. Rev. C 102, 054907 (2020).
- Y. Wang, S. Zhao, B. Cao, H.-j. Xu, and H. Song, Exploring the compactness of clusters in nuclei with relativistic collisions, Phys. Rev. C 109, L051904 (2024).
- X.-L. Zhao, G.-L. Ma, Y. Zhou, Z.-W. Lin, and C. Zhang, Nuclear cluster structure effect in collisions at the top RHIC energy, Phys. Lett. B 874, 140254 (2026).
- S. H. Lim, J. Carlson, C. Loizides, D. Lonardoni, J. E. Lynn, J. L. Nagle, J. D. Orjuela Koop, and J. Ouellette, Exploring new small system geometries in heavy ion collisions, Phys. Rev. C 99, 044904 (2019).
- N. Summerfield, B.-N. Lu, C. Plumberg, D. Lee, J. Noronha-Hostler, and A. Timmins, collisions at energies available at the BNL relativistic heavy ion collider and at the CERN Large Hadron Collider comparing clustering versus substructure, Phys. Rev. C 104, L041901 (2021).
- D. Behera, S. Prasad, N. Mallick, and R. Sahoo, Effects of clustered nuclear geometry on the anisotropic flow in O-O collisions at the LHC within a multiphase transport model framework, Phys. Rev. D 108, 054022 (2023).
- J. Jia et al., Imaging the initial condition of heavy-ion collisions and nuclear structure across the nuclide chart, Nucl. Sci. Techn. 35, 220 (2024).
- G. Giacalone et al., Nuclear physics confronts relativistic collisions of isobars, Report of the EMMI RRTF, arXiv:2507.01454.
- P. Ring and P. Schuck, The Nuclear Many-Body Problem (Springer, Heidelberg, 1980).
An particle is a tightly bound state of two protons and two neutrons.
- D. Lee, Lattice effective field theory simulations of nuclei, Annu. Rev. Nucl. Part. Sci. 75, 109 (2025).
- M. Frosini, T. Duguet, J.-P. Ebran, and V. Somà, Multi-reference many-body perturbation theory for nuclei: I. Novel PGCM-PT formalism, Eur. Phys. J. A 58, 62 (2022).
- M. Frosini, T. Duguet, J.-P. Ebran, B. Bally, T. Mongelli, T. R. Rodríguez, R. Roth, and V. Somà, Multi-reference many-body perturbation theory for nuclei: II. Ab initio study of neon isotopes via PGCM and IM-NCSM calculations, Eur. Phys. J. A 58, 63 (2022).
- J. Dobaczewski, A. Gade, K. Godbey, R. V. F. Janssens, and W. Nazarewicz, Extraction of ground-state nuclear deformations from ultrarelativistic heavy-ion collisions: Nuclear structure physics context, Phys. Rev. Res. 7, 043159 (2025).
- L. Adamczyk et al. (STAR Collaboration), Azimuthal anisotropy in and collisions at RHIC, Phys. Rev. Lett. 115, 222301 (2015).
- M. I. Abdulhamid et al. (STAR Collaboration), Imaging shapes of atomic nuclei in high-energy nuclear collisions, Nature (London) 635, 67 (2024).
- S. Acharya et al. (ALICE Collaboration), Characterizing the initial conditions of heavy-ion collisions at the LHC with mean transverse momentum and anisotropic flow correlations, Phys. Lett. B 834, 137393 (2022).
- G. Aad et al. (ATLAS Collaboration), Correlations between flow and transverse momentum in and collisions at the LHC with the ATLAS detector: A probe of the heavy-ion initial state and nuclear deformation, Phys. Rev. C 107, 054910 (2023).
- ALICE Collaboration, Exploring nuclear structure with multiparticle azimuthal correlations at the LHC, Phys. Lett. B 869, 139855 (2025).
- S. Zhang, Y. G. Ma, G. L. Ma, J. H. Chen, Q. Y. Shou, W. B. He, and C. Zhong, Collision system size scan of collective flows in relativistic heavy-ion collisions, Phys. Lett. B 804, 135366 (2020).
- S. Acharya et al. (ALICE Collaboration), ALICE upgrades during the LHC long shutdown 2, J. Instrum. 19, P05062 (2024).
- G. Aad et al. (ATLAS Collaboration), Measurement of the azimuthal anisotropy of charged particles in and collisions with the ATLAS detector, Phys. Rev. C 113, 045205 (2026).
- A. Hayrapetyan et al. (CMS Collaboration), following Letter, Observation of long-range collective flow in and collisions and implications for nuclear structure studies, Phys. Rev. Lett. 137, 082302 (2026).
- B. Abelev et al. (ALICE Collaboration), Technical design report for the upgrade of the ALICE inner tracking system, J. Phys. G 41, 087002 (2014).
- J. Adolfsson et al. (ALICE TPC Collaboration), The upgrade of the ALICE TPC with GEMs and continuous readout, J. Instrum. 16, P03022 (2021).
- A. Bilandzic, C. H. Christensen, K. Gulbrandsen, A. Hansen, and Y. Zhou, Generic framework for anisotropic flow analyses with multiparticle azimuthal correlations, Phys. Rev. C 89, 064904 (2014).
- Z. Moravcova, K. Gulbrandsen, and Y. Zhou, Generic algorithm for multiparticle cumulants of azimuthal correlations in high energy nucleus collisions, Phys. Rev. C 103, 024913 (2021).
- Y. Zhou, X. Zhu, P. Li, and H. Song, Investigation of possible hadronic flow in p–Pb collisions, Phys. Rev. C 91, 064908 (2015).
- P. Huo, K. Gajdosov, J. Jia, and Y. Zhou, Importance of non-flow in mixed-harmonic multi-particle correlations in small collision systems, Phys. Lett. B 777, 201 (2018).
- B. Abelev et al. (ALICE Collaboration), Long-range angular correlations on the near and away side in p–Pb collisions at , Phys. Lett. B 719, 29 (2013).
- R. Barlow, Systematic errors: Facts and fictions, in Conference on Advanced Statistical Techniques in Particle Physics (2002), pp. 134–144, arXiv:hep-ex/0207026.
- G. Nijs and W. van der Schee, Predictions and postdictions for relativistic lead and oxygen collisions with the computational simulation code Trajectum, Phys. Rev. C 106, 044903 (2022).
- S. Chatrchyan et al. (CMS Collaboration), Multiplicity and transverse momentum dependence of two- and four-particle correlations in pPb and Pb–Pb collisions, Phys. Lett. B 724, 213 (2013).
- M. Aaboud et al. (ATLAS Collaboration), Measurement of long-range multiparticle azimuthal correlations with the subevent cumulant method in pp and p–Pb collisions with the ATLAS detector at the CERN Large Hadron Collider, Phys. Rev. C 97, 024904 (2018).
- G. Nijs, W. van der Schee, U. Gürsoy, and R. Snellings, Bayesian analysis of heavy ion collisions with the heavy ion computational framework Trajectum, Phys. Rev. C 103, 054909 (2021).
- G. Giacalone, J. Jia, and V. Somà, Accessing the shape of atomic nuclei with relativistic collisions of isobars, Phys. Rev. C 104, L041903 (2021).
- M. Abdallah et al. (STAR Collaboration), Search for the chiral magnetic effect with isobar collisions at by the STAR Collaboration at the BNL relativistic heavy ion collider, Phys. Rev. C 105, 014901 (2022).
- H. Mäntysaari, B. Schenke, C. Shen, and W. Zhao, Collision-energy dependence in heavy-ion collisions from nonlinear QCD evolution, Phys. Rev. Lett. 135, 022302 (2025).
- S. A. Jahan, H. Roch, and C. Shen, Bayesian analysis of relativistic nuclear dynamics with the RHIC beam energy scan data, Phys. Rev. C 110, 054905 (2024).
- H. Mäntysaari and B. Schenke, Evidence of strong proton shape fluctuations from incoherent diffraction, Phys. Rev. Lett. 117, 052301 (2016).
- H. Mäntysaari and B. Schenke, Revealing proton shape fluctuations with incoherent diffraction at high energy, Phys. Rev. D 94, 034042 (2016).
- A. Caldwell and H. Kowalski, Investigating the gluonic structure of nuclei via scattering, Phys. Rev. C 81, 025203 (2010).
- B. Schenke, P. Tribedy, and R. Venugopalan, Event-by-event gluon multiplicity, energy density, and eccentricities in ultrarelativistic heavy-ion collisions, Phys. Rev. C 86, 034908 (2012).
- G. Giacalone, B. Schenke, and C. Shen, Constraining the nucleon size with relativistic nuclear collisions, Phys. Rev. Lett. 128, 042301 (2022).
- H. Mäntysaari, H. Roch, F. Salazar, B. Schenke, C. Shen, and W. Zhao, Global Bayesian analysis of photoproduction on proton and lead targets, Phys. Rev. D 113, 014038 (2026).
- ALICE Collaboration, Evidence of nuclear geometry-driven anisotropic flow in OO and Ne–Ne collisions at , HEPData (Collection) (2026), https://www.hepdata.net/record/ins2967353.
- X. Chen, X.-Y. Wu, S. Cao, and G.-Y. Qin, System-size and shape dependencies of collective-flow fluctuations in relativistic nuclear collisions, Phys. Rev. C 109, 064915 (2024).
- C. Zhang, J. Chen, G. Giacalone, S. Huang, J. Jia, and Y.-G. Ma, Ab-initio nucleon-nucleon correlations and their impact on high energy collisions, Phys. Lett. B 862, 139322 (2025).