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CMS-PAS-HIN-25-022
Azimuthal anisotropy of prompt $ \Lambda_{\mathrm{c}}^{\pm} $ baryons in PbPb collisions at $ \sqrt{s_{\mathrm{NN}}} = $ 5.36 TeV
Abstract: The azimuthal anisotropy of $ \Lambda_{\mathrm{c}}^{\pm} $ baryons in lead-lead (PbPb) collisions at a center-of-mass energy per nucleon pair of 5.36 TeV is presented. The data were collected by the CMS experiment at the CERN LHC in 2023 and correspond to an integrated luminosity of 1.48 $ \mathrm{nb}^{-1} $. The anisotropy is characterized by the second-order Fourier coefficient ($ v_{2} $) of the azimuthal distribution. Using the exclusive hadronic decay channel $ \Lambda_{\mathrm{c}}^{\pm} \to \mathrm{p}\mathrm{K}^{\mp}\pi^{\pm} $, the $ \Lambda_{\mathrm{c}}^{\pm} $ candidates with transverse momenta 4 $ < p_{\mathrm{T}} < $ 40 GeV are measured in the mid-rapidity range $ |y| < $ 1.0. Results for the 30 $ -50% $ centrality interval, where 0% centrality corresponds to full overlap of the colliding nuclei, are compared with a prompt $ \mathrm{D}^{0} $ meson measurement and with theoretical transport models. Models that include radiative energy loss of high-$ p_{\mathrm{T}} $ quarks in the created medium can describe the experimental observations. Crucially, at high $ p_{\mathrm{T}} $ ($ > $ 10 GeV), the $ \Lambda_{\mathrm{c}}^{\pm} $ baryon and $ \mathrm{D}^{0} $ meson $ v_{2} $ coefficients are comparable, as determined with improved precision compared to previous measurements. This convergence indicates that hadronization-specific collective effects subside at high momentum, where the path-length dependence of the partonic energy loss becomes the dominant mechanism shaping the charm-flavor anisotropy.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
The left panel shows an example of the invariant mass ($ m_{\text{inv}} $) spectrum fit for $ \Lambda_{\mathrm{c}}^{\pm} $ candidates in the $ \Lambda_{\mathrm{c}}^{\pm} $ $ p_{\mathrm{T}} $ range 10--15 GeV for the centrality interval 30--50%. The right panel shows an example of the simultaneous fit where the $ v_{2} $ value of the combined signal and background ($ {v_2}^\text{Sig+Bkg} $) is modeled as a function of the invariant mass. For both panels, the horizontal lines represent the $ m_{\text{inv}} $ mass binning and the vertical lines represent the statistical uncertainties.

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Figure 2:
The $ v_{2} $ coefficients for prompt $ \Lambda_{\mathrm{c}}^{\pm} $ baryons (filled red circles) as a function of $ p_{\mathrm{T}} $ in PbPb collisions at $ \sqrt{\smash[b]{s_{_{\mathrm{NN}}}}} = $ 5.36 TeV in the 30--50% centrality interval. The results are compared with prompt $ \mathrm{D^0} $ meson measurements (open blue circles) from CMS [16] and $ \Lambda_{\mathrm{c}}^{\pm} $ measurements (filled purple boxes) from the ALICE Collaboration [44]. The vertical bars and shaded boxes represent statistical and systematic uncertainties, respectively. Horizontal bars indicate the $ p_{\mathrm{T}} $ bin widths.

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Figure 3:
The elliptic flow coefficient $ v_{2} $ of prompt $ \Lambda_{\mathrm{c}}^{\pm} $ baryons as a function of $ p_{\mathrm{T}} $ in PbPb collisions at $ \sqrt{\smash[b]{s_{_{\mathrm{NN}}}}} = $ 5.36 TeV, for the 30--50% centrality interval and $ |y| < $ 1.0. The CMS results (red markers) are compared with theoretical model predictions calculated at $ \sqrt{\smash[b]{s_{_{\mathrm{NN}}}}} = $ 5.02 TeV, including EPOS4HQ (solid blue curve), POWLANG HTL (dashed orange curve) and lQCD (dotted purple curve), LBT (dot-dashed pink curve), and Langevin-based calculations (dashed green curve) [45,46,47,48,49,50,51], as well as the TAMU prediction (green shaded band) [52]. Vertical bars and open boxes represent statistical and systematic uncertainties, respectively.
Tables

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Table 1:
Relative systematic and statistical uncertainties (% of $ v_{2}^{\text{nom}} $) for $ \Lambda_{\mathrm{c}}^{\pm} $ $ v_{2} $ in the 30--50% centrality interval. Each entry is $ \delta_{\text{sys},i}/v_{2}^{\text{nom}}\times 100% $ and the total systematic row is the quadrature sum.
Summary
The elliptic flow Fourier coefficient ($ v_{2} $) of prompt $ \Lambda_{\mathrm{c}}^{\pm} $ baryons is measured by the CMS Collaboration in lead-lead collisions at a center-of-mass energy per nucleon pair of 5.36 TeV. Collisions are selected in the 30--50% centrality range, where centrality is based on the fraction of the total inelastic cross section, with 0% centrality corresponding to complete overlap of the colliding nuclei. The $ v_{2} $ values are found to be positive across the measured transverse momentum range (4 $ < p_{\mathrm{T}} < $ 40 GeV). In the lower $ p_{\mathrm{T}} $ range (4 $ < p_{\mathrm{T}} < $ 8 GeV), the magnitude of the $ v_{2} $ values indicates that charm quarks participate significantly in the collective expansion of the hot, dense medium created in the collision, known as the quark-gluon plasma (QGP). When compared with prompt $ \mathrm{D^0} $ mesons, larger prompt $ \Lambda_{\mathrm{c}}^{\pm} $ values in the 6 $ < p_{\mathrm{T}} < $ 8 GeV range are qualitatively consistent with quark coalescence, a hadronization mechanism in which a baryon forms by combining three nearby quarks from the medium, so that its flow reflects the combined motion of its three constituents rather than that of a single quark, as for a meson. However, the current statistical uncertainties are too large to claim increased baryon $ v_{2} $ values with confidence. At higher transverse momenta ($ p_{\mathrm{T}} > $ 10 GeV), significantly improved precision over previous measurements is achieved. Here, the $ v_{2} $ values of $ \Lambda_{\mathrm{c}}^{\pm} $ baryons and $ \mathrm{D^0} $ mesons are found to be comparable. In this range, the positive $ v_{2} $ values are predominantly attributed to the path-length dependence of partonic energy loss as quarks traverse the QGP, rather than to collective expansion of the medium. The experimental results are well described by models that combine quark coalescence at lower $ p_{\mathrm{T}} $ with parton energy loss in the QGP at higher $ p_{\mathrm{T}} $, reinforcing this two-mechanism picture of charm-flavor anisotropy.
References
1 BRAHMS Collaboration Quark-gluon plasma and color glass condensate at RHIC? the perspective from the BRAHMS experiment Nucl. Phys. A 757 (2005) 1 nucl-ex/0410020
2 PHOBOS Collaboration The PHOBOS perspective on discoveries at RHIC Nucl. Phys. A 757 (2005) 28 nucl-ex/0410022
3 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. A 757 (2005) 102 nucl-ex/0501009
4 PHENIX Collaboration Formation of dense partonic matter in relativistic nucleus-nucleus collisions at RHIC: experimental evaluation by the PHENIX collaboration Nucl. Phys. A 757 (2005) 184 nucl-ex/0410003
5 CMS Collaboration Overview of high-density QCD studies with the CMS experiment at the LHC Phys. Rept. 1115 (2025) 219 CMS-HIN-23-011
2405.10785
6 F. Prino and R. Rapp Open heavy flavor in QCD matter and in nuclear collisions JPG 43 (2016) 093002 1603.00529
7 J.-Y. Ollitrault Anisotropy as a signature of transverse collective flow PRD 46 (1992) 229
8 U. Heinz and R. Snellings Collective flow and viscosity in relativistic heavy-ion collisions Ann. Rev. Nucl. Part. Sci. 63 (2013) 123 1301.2826
9 C. Gale, S. Jeon, and B. Schenke Hydrodynamic modeling of heavy-ion collisions Int. J. Mod. Phys. A 28 (2013) 1340011 1301.5893
10 M. Gyulassy, I. Vitev, and X.-N. Wang High $ p_{\mathrm{T}} $ azimuthal asymmetry in noncentral A+A at RHIC PRL 86 (2001) 2537 nucl-th/0012092
11 E. V. Shuryak Azimuthal asymmetry at large $ p_{\mathrm{T}} $ seem to be too large for a pure 'jet quenching' Phys. Rev. C 66 (2002) 027902 nucl-th/0112042
12 ALICE Collaboration Direct observation of the dead-cone effect in quantum chromodynamics Nature 605 (2022) 440 2106.05713
13 Y. L. Dokshitzer and D. E. Kharzeev Heavy-quark colorimetry of QCD matter PLB 519 (2001) 199 hep-ph/0106202
14 ALICE Collaboration D-meson azimuthal anisotropy in midcentral PbPb collisions at $ \sqrt{\smash[b]{s_{_{\mathrm{NN}}}}}= $ 5.02 TeV PRL 120 (2018) 102301 1707.01005
15 CMS Collaboration Measurement of prompt $ \mathrm{D^0} $ meson azimuthal anisotropy in PbPb collisions at $ \sqrt{\smash[b]{s_{_{\mathrm{NN}}}}}= $ 5.02 TeV PRL 120 (2018) 202301 CMS-HIN-16-007
1708.03497
16 CMS Collaboration Measurement of prompt $ \mathrm{D}^0 $ and $ \overline{\mathrm{D}}^0 $ meson azimuthal anisotropy and search for strong electric fields in PbPb collisions at $ \sqrt{\smash[b]{s_{_{\mathrm{NN}}}}}= $ 5.02 TeV PLB 816 (2021) 136253 CMS-HIN-19-008
2009.12628
17 ATLAS Collaboration Measurement of azimuthal anisotropy of muons from charm and bottom hadrons in Pb+Pb collisions at $ \sqrt{\smash[b]{s_{_{\mathrm{NN}}}}}= $ 5.02 TeV with the ATLAS detector PLB 807 (2020) 135595 2003.03565
18 ALICE Collaboration $ \mathrm{J}/\psi $ elliptic and triangular flow in PbPb collisions at $ \sqrt{\smash[b]{s_{_{\mathrm{NN}}}}}= $ 5.02 TeV JHEP 10 (2020) 141 2005.14518
19 ALICE Collaboration Transverse-momentum and event-shape dependence of D-meson flow harmonics in PbPb collisions at $ \sqrt{\smash[b]{s_{_{\mathrm{NN}}}}}= $ 5.02 TeV PLB 813 (2021) 136054 2005.11131
20 CMS Collaboration Probing charm quark dynamics via multiparticle correlations in PbPb collisions at $ \sqrt{\smash[b]{s_{_{\mathrm{NN}}}}}= $ 5.02 TeV PRL 129 (2022) 022001 CMS-HIN-20-001
2112.12236
21 CMS Collaboration Measurements of the azimuthal anisotropy of prompt and nonprompt charmonia in PbPb collisions at $ \sqrt {\smash [b]{s_{_{\mathrm {NN}}}}} = $ 5.02 TeV JHEP 10 (2023) 115 CMS-HIN-21-008
2305.16928
22 R. J. Fries, B. M \"u ller, C. Nonaka, and S. A. Bass Hadronization in heavy-ion collisions: recombination and fragmentation of partons PRL 90 (2003) 202303 nucl-th/0301087
23 V. Greco, C. M. Ko, and P. L é vai Parton coalescence and the antiproton/pion anomaly at RHIC PRL 90 (2003) 202302 nucl-th/0301093
24 M. He, R. J. Fries, and R. Rapp Heavy-quark diffusion and hadronization in quark-gluon plasma Phys. Rev. C 86 (2012) 014903 1106.6006
25 CMS Collaboration Development of the CMS detector for the CERN LHC Run 3 JINST 19 (2024) P05064 CMS-PRF-21-001
2309.05466
26 CMS Collaboration Electron and photon reconstruction and identification with the CMS experiment at the CERN LHC JINST 16 (2021) P05014 CMS-EGM-17-001
2012.06888
27 CMS Collaboration Performance of the CMS muon detector and muon reconstruction with proton-proton collisions at $ \sqrt{s}= $ 13 TeV JINST 13 (2018) P06015 CMS-MUO-16-001
1804.04528
28 CMS Collaboration Observation and studies of jet quenching in PbPb collisions at $ \sqrt{\smash[b]{s_{_{\mathrm{NN}}}}}= $ 2.76 TeV Phys. Rev. C 84 (2011) 024906 CMS-HIN-10-004
1102.1957
29 CMS Collaboration Performance of the CMS level-1 trigger in proton-proton collisions at $ \sqrt{s}= $ 13 TeV JINST 15 (2020) P10017 CMS-TRG-17-001
2006.10165
30 CMS Collaboration Performance of the CMS high-level trigger during LHC Run 2 JINST 19 (2024) P11021 CMS-TRG-19-001
2410.17038
31 CMS Collaboration Charged-particle nuclear modification factors in PbPb and pPb collisions at $ \sqrt{\smash[b]{s_{_{\mathrm{NN}}}}}= $ 5.02 TeV JHEP 04 (2017) 039 CMS-HIN-15-015
1611.01664
32 T. Sjöstrand et al. An introduction to PYTHIA 8.2 Comput. Phys. Commun. 191 (2015) 159 1410.3012
33 CMS Collaboration Extraction and validation of a new set of CMS PYTHIA8 tunes from underlying-event measurements EPJC 80 (2020) 4 CMS-GEN-17-001
1903.12179
34 D. J. Lange The EVTGEN particle decay simulation package NIM A 462 (2001) 152
35 I. P. Lokhtin and A. M. Snigirev A model of jet quenching in ultrarelativistic heavy ion collisions and high-$ p_{\mathrm{T}} $ hadron spectra at RHIC EPJC 45 (2006) 211 hep-ph/0506189
36 GEANT4 Collaboration GEANT 4---a simulation toolkit NIM A 506 (2003) 250
37 CMS Collaboration Description and performance of track and primary-vertex reconstruction with the CMS tracker JINST 9 (2014) P10009 CMS-TRK-11-001
1405.6569
38 Particle Data Group Collaboration Review of particle physics PRD 110 (2024) 030001
39 A. Hocker et al. TMVA --- toolkit for multivariate data analysis PoS ACAT 04 (2007) 0 physics/0703039
40 T. Fawcett An introduction to ROC analysis Pattern Recognition Letters 27 (2006) 861
41 STAR Collaboration Elliptic flow from two- and four-particle correlations in Au+Au collisions at $ \sqrt{\smash[b]{s_{_{\mathrm{NN}}}}}= $ 130 GeV Phys. Rev. C 66 (2002) 034904 nucl-ex/0206001
42 A. M. Poskanzer and S. A. Voloshin Methods for analyzing anisotropic flow in relativistic nuclear collisions Phys. Rev. C 58 (1998) 1671 nucl-ex/9805001
43 NA49 Collaboration Directed and elliptic flow of charged pions and protons in Pb+Pb collisions at 40A and 158A GeV Phys. Rev. C 68 (2003) 034903 nucl-ex/0303001
44 ALICE Collaboration Evidence of different $ \Lambda_{\mathrm{c}} $ baryon and D meson elliptic flow in PbPb collisions at $ \sqrt{\smash[b]{s_{_{\mathrm{NN}}}}}= $ 5.36 TeV with ALICE at the LHC 2603.18966
45 J. Zhao et al. Heavy flavour hadron production in relativistic heavy ion collisions at rhic and lhc in epos4hq Phys. Rev. C 110 (2024) 024909 2401.17096
46 A. Beraudo et al. In-medium hadronization of heavy quarks and its effect on charmed meson and baryon distributions in heavy-ion collisions EPJC 82 (2022) 607 2202.08732
47 A. Beraudo et al. Heavy-flavor transport and hadronization in $ pp $ collisions PRD 109 (2024) L011501 2306.02152
48 W. Ke, Y. Xu, and S. A. Bass Linearized Boltzmann-Langevin model for heavy quark transport in hot and dense QCD matter Phys. Rev. C 98 (2018) 064901 1806.08848
49 W.-J. Xing, G.-Y. Qin, and S. Cao Perturbative and non-perturbative interactions between heavy quarks and quark-gluon plasma within a unified approach PLB 838 (2023) 137733 2112.15062
50 S.-Q. Li et al. Scaling behaviors of heavy flavor meson suppression and flow in different nuclear collision systems at the LHC EPJC 81 (2021) 1035 2108.06648
51 S.-Q. Li et al. Heavy flavor quenching and flow: the roles of initial condition, pre-equilibrium evolution, and in-medium interaction Chin. Phys. C 44 (2020) 114101 2005.03330
52 M. He and R. Rapp Hadronization and charm-hadron ratios in heavy-ion collisions PRL 124 (2020) 042301 1905.09216
53 ALICE Collaboration Energy dependence and fluctuations of anisotropic flow in PbPb collisions at $ \sqrt{\smash[b]{s_{_{\mathrm{NN}}}}}= $ 5.02 and 2.76 TeV JHEP 07 (2018) 103 1804.02944
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