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Abstract
The elliptic (v2), triangular (v3), and quadrangular (v4) flow coefficients of π±, K±, \[ \mathrm{p}+\overline{\mathrm{p}},\kern0.5em \Lambda +\overline{\Lambda},\kern0.5em {\mathrm{K}}_{\mathrm{S}}^0 \], and the ϕ-meson are measured in Pb-Pb collisions at \[ {\sqrt{s}}_{\mathrm{NN}}=5.02 \] TeV. Results obtained with the scalar product method are reported for the rapidity range |y| < 0.5 as a function of transverse momentum, pT, at different collision centrality intervals between 0–70%, including ultra-central (0–1%) collisions for π±, K±, and \[ \mathrm{p}+\overline{\mathrm{p}} \]. For pT< 3 GeV/c, the flow coefficients exhibit a particle mass dependence. At intermediate transverse momenta (3 < pT < 8–10 GeV/c), particles show an approximate grouping according to their type (i.e., mesons and baryons). The ϕ-meson v2, which tests both particle mass dependence and type scaling, follows \[ \mathrm{p}+\overline{\mathrm{p}} \]v2 at low pT and π±v2 at intermediate pT. The evolution of the shape of vn(pT) as a function of centrality and harmonic number n is studied for the various particle species. Flow coefficients of π±, K±, and \[ \mathrm{p}+\overline{\mathrm{p}} \] for pT < 3 GeV/c are compared to iEBE-VISHNU and MUSIC hydrodynamical calculations coupled to a hadronic cascade model (UrQMD). The iEBE-VISHNU calculations describe the results fairly well for pT < 2.5 GeV/c, while MUSIC calculations reproduce the measurements for pT < 1 GeV/c. A comparison to vn coefficients measured in Pb-Pb collisions at \[ \sqrt{s_{\mathrm{NN}}}=2.76 \] TeV is also provided.
Details
1 Variable Energy Cyclotron Centre, Kolkata, India
2 Department of Physics, University of California, Berkeley, California, United States
3 Nuclear Physics Institute of the Czech Academy of Sciences, Řež u Prahy, Czech Republic
4 Lund University Department of Physics, Division of Particle Physics, Lund, Sweden
5 Physics Department, Panjab University, Chandigarh, India
6 European Organization for Nuclear Research (CERN), Geneva, Switzerland
7 Dipartimento DISAT del Politecnico and Sezione INFN, Turin, Italy
8 Indian Institute of Technology Bombay (IIT), Mumbai, India
9 Korea Institute of Science and Technology Information, Daejeon, Republic of Korea
10 Yale University, New Haven, Connecticut, United States
11 Institute for Theoretical and Experimental Physics, Moscow, Russia
12 Research Division and ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung GmbH, Darmstadt, Germany
13 Universidade Estadual de Campinas (UNICAMP), Campinas, Brazil
14 National Research Centre Kurchatov Institute, Moscow, Russia
15 INFN, Sezione di Torino, Turin, Italy
16 Instituto de Física, Universidad Nacional Autónoma de México, Mexico City, Mexico
17 COMSATS Institute of Information Technology (CIIT), Islamabad, Pakistan
18 Centro Fermi - Museo Storico della Fisica e Centro Studi e Ricerche “Enrico Fermi’, Rome, Italy; INFN, Sezione di Bologna, Bologna, Italy; Dipartimento di Fisica e Astronomia dell’Università and Sezione INFN, Bologna, Italy
19 Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, Kiev, Ukraine
20 Department of Physics and Technology, University of Bergen, Bergen, Norway
21 Institut für Kernphysik, Johann Wolfgang Goethe-Universität Frankfurt, Frankfurt, Germany
22 V. Fock Institute for Physics, St. Petersburg State University, St. Petersburg, Russia
23 Central China Normal University, Wuhan, China
24 Horia Hulubei National Institute of Physics and Nuclear Engineering, Bucharest, Romania
25 School of Physics and Astronomy, University of Birmingham, Birmingham, United Kingdom
26 Westfälische Wilhelms-Universität Münster, Institut für Kernphysik, Münster, Germany; Research Division and ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung GmbH, Darmstadt, Germany
27 Physikalisches Institut, Ruprecht-Karls-Universität Heidelberg, Heidelberg, Germany
28 Creighton University, Omaha, Nebraska, United States
29 Rudjer Bošković Institute, Zagreb, Croatia
30 INFN, Sezione di Padova, Padova, Italy
31 INFN, Sezione di Bologna, Bologna, Italy
32 University of Houston, Houston, Texas, United States
33 Lawrence Berkeley National Laboratory, Berkeley, California, United States
34 SUBATECH, IMT Atlantique, Université de Nantes, CNRS-IN2P3, Nantes, France
35 Dipartimento di Fisica e Astronomia dell’Università and Sezione INFN, Bologna, Italy
36 Physik Department, Technische Universität München, Munich, Germany; Technische Universität München, Excellence Cluster ‘Universe’, Munich, Germany
37 Department of Physics, University of Oslo, Oslo, Norway
38 Department of Physics, Aligarh Muslim University, Aligarh, India
39 INFN, Sezione di Catania, Catania, Italy
40 Inha University, Incheon, Republic of Korea; Gangneung-Wonju National University, Gangneung, Republic of Korea
41 Physics Department, University of Jammu, Jammu, India
42 Université Paris-Saclay Centre d’ Études de Saclay (CEA), IRFU, Department de Physique Nucléaire (DPhN), Saclay, France
43 Helmholtz-Institut für Strahlen- und Kernphysik, Rheinische Friedrich-Wilhelms-Universität Bonn, Bonn, Germany
44 National Institute of Science Education and Research, HBNI, Jatni, India
45 Dipartimento di Fisica dell’Università and Sezione INFN, Turin, Italy
46 Dipartimento di Fisica e Astronomia dell’Università and Sezione INFN, Catania, Italy
47 INFN, Sezione di Bari, Bari, Italy
48 Wigner Research Centre for Physics, Hungarian Academy of Sciences, Budapest, Hungary
49 Nuclear Physics Group, STFC Daresbury Laboratory, Daresbury, United Kingdom
50 Université Clermont Auvergne, CNRS/IN2P3, LPC, Clermont-Ferrand, France
51 Wayne State University, Detroit, Michigan, United States
52 Joint Institute for Nuclear Research (JINR), Dubna, Russia
53 Sección Física, Departamento de Ciencias, Pontificia Universidad Católica del Perú, Lima, Peru
54 Niels Bohr Institute, University of Copenhagen, Copenhagen, Denmark
55 Institute for Subatomic Physics, Utrecht University/Nikhef, Utrecht, Netherlands
56 Inha University, Incheon, Republic of Korea
57 Université de Strasbourg, CNRS, IPHC UMR 7178, F-67000 Strasbourg, France, Strasbourg, France
58 Benemérita Universidad Autónoma de Puebla, Puebla, Mexico
59 Universidad Autónoma de Sinaloa, Culiacán, Mexico
60 NRNU Moscow Engineering Physics Institute, Moscow, Russia
61 Petersburg Nuclear Physics Institute, Gatchina, Russia
62 University of Tennessee, Knoxville, Tennessee, United States
63 European Organization for Nuclear Research (CERN), Geneva, Switzerland; INFN, Sezione di Torino, Turin, Italy
64 Gauhati University, Department of Physics, Guwahati, India
65 The Henryk Niewodniczanski Institute of Nuclear Physics, Polish Academy of Sciences, Cracow, Poland
66 INFN, Laboratori Nazionali di Frascati, Frascati, Italy
67 Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, Prague, Czech Republic
68 Technische Universität München, Excellence Cluster ‘Universe’, Munich, Germany; Physik Department, Technische Universität München, Munich, Germany
69 Bose Institute, Department of Physics and Centre for Astroparticle Physics and Space Science (CAPSS), Kolkata, India
70 The University of Texas at Austin, Austin, Texas, United States
71 Università degli Studi di Pavia, Pavia, Italy
72 Faculty of Science, P.J. Šafárik University, Košice, Slovakia
73 Università di Brescia, Brescia, Italy
74 Department of Physics, Pusan National University, Pusan, Republic of Korea; Westfälische Wilhelms-Universität Münster, Institut für Kernphysik, Münster, Germany
75 University of Liverpool, Department of Physics Oliver Lodge Laboratory, Liverpool, United Kingdom
76 Universidade de São Paulo (USP), São Paulo, Brazil
77 Helsinki Institute of Physics (HIP), Helsinki, Finland
78 European Organization for Nuclear Research (CERN), Geneva, Switzerland; Dipartimento Interateneo di Fisica ‘M. Merlin’ and Sezione INFN, Bari, Italy
79 Russian Federal Nuclear Center (VNIIEF), Sarov, Russia
80 Stefan Meyer Institut für Subatomare Physik (SMI), Vienna, Austria
81 University of Tsukuba, Tsukuba, Japan
82 iThemba LABS, National Research Foundation, Somerset West, South Africa
83 Department of Physics, Ohio State University, Columbus, Ohio, United States
84 Technical University of Košice, Košice, Slovakia
85 Nikhef, National institute for subatomic physics, Amsterdam, Netherlands
86 Dipartimento di Fisica dell’Università and Sezione INFN, Trieste, Italy
87 Dipartimento di Fisica e Astronomia dell’Università and Sezione INFN, Bologna, Italy; Centro Fermi - Museo Storico della Fisica e Centro Studi e Ricerche “Enrico Fermi’, Rome, Italy
88 INFN, Sezione di Cagliari, Cagliari, Italy
89 Centro de Aplicaciones Tecnológicas y Desarrollo Nuclear (CEADEN), Havana, Cuba
90 University of Jyväskylä, Jyväskylä, Finland
91 Université de Lyon, Université Lyon 1, CNRS/IN2P3, IPN-Lyon, Lyon, France
92 Department of Physics, Pusan National University, Pusan, Republic of Korea
93 Centro Fermi - Museo Storico della Fisica e Centro Studi e Ricerche “Enrico Fermi’, Rome, Italy; Dipartimento di Fisica e Astronomia dell’Università and Sezione INFN, Bologna, Italy
94 University of Cape Town, Cape Town, South Africa
95 Institute of Experimental Physics, Slovak Academy of Sciences, Košice, Slovakia; European Organization for Nuclear Research (CERN), Geneva, Switzerland; INFN, Sezione di Bari, Bari, Italy
96 INFN, Sezione di Torino, Turin, Italy; Dipartimento DET del Politecnico di Torino, Turin, Italy
97 Laboratoire de Physique Subatomique et de Cosmologie, Université Grenoble-Alpes, CNRS-IN2P3, Grenoble, France
98 Institut de Physique Nucléaire d’Orsay (IPNO), Institut National de Physique Nucléaire et de Physique des Particules (IN2P3/CNRS), Université de Paris-Sud, Université Paris-Saclay, Orsay, France
99 Oak Ridge National Laboratory, Oak Ridge, Tennessee, United States
100 Dipartimento di Scienze e Innovazione Tecnologica dell’Università del Piemonte Orientale and INFN Sezione di Torino, Alessandria, Italy
101 Universidade Federal do ABC, Santo Andre, Brazil
102 Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Mexico City, Mexico
103 Westfälische Wilhelms-Universität Münster, Institut für Kernphysik, Münster, Germany; Oak Ridge National Laboratory, Oak Ridge, Tennessee, United States
104 Institute of Physics, Bhubaneswar, India
105 Institute of Space Science (ISS), Bucharest, Romania
106 Saha Institute of Nuclear Physics, Kolkata, India
107 Indian Institute of Technology Indore, Indore, India
108 Dipartimento di Fisica ‘E.R. Caianiello’ dell’Università and Gruppo Collegato INFN, Salerno, Italy
109 Frankfurt Institute for Advanced Studies, Johann Wolfgang Goethe-Universität Frankfurt, Frankfurt, Germany
110 Dipartimento di Fisica dell’Università and Sezione INFN, Cagliari, Italy
111 Centro Fermi - Museo Storico della Fisica e Centro Studi e Ricerche “Enrico Fermi’, Rome, Italy; Dipartimento di Fisica ‘E.R. Caianiello’ dell’Università and Gruppo Collegato INFN, Salerno, Italy
112 Research Division and ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung GmbH, Darmstadt, Germany; Physikalisches Institut, Ruprecht-Karls-Universität Heidelberg, Heidelberg, Germany
113 National Centre for Nuclear Research, Warsaw, Poland
114 Dipartimento Interateneo di Fisica ‘M. Merlin’ and Sezione INFN, Bari, Italy
115 Johann-Wolfgang-Goethe Universität Frankfurt Institut für Informatik, Fachbereich Informatik und Mathematik, Frankfurt, Germany
116 Physics department, Faculty of science, University of Zagreb, Zagreb, Croatia
117 NRC Kurchatov Institute IHEP, Protvino, Russia
118 Dipartimento di Fisica e Astronomia dell’Università and Sezione INFN, Padova, Italy
119 Westfälische Wilhelms-Universität Münster, Institut für Kernphysik, Münster, Germany
120 Dipartimento di Fisica e Astronomia dell’Università and Sezione INFN, Padova, Italy; European Organization for Nuclear Research (CERN), Geneva, Switzerland
121 Institute for Nuclear Research, Academy of Sciences, Moscow, Russia
122 INFN, Sezione di Trieste, Trieste, Italy
123 National and Kapodistrian University of Athens, School of Science, Department of Physics, Athens, Greece
124 Chicago State University, Chicago, Illinois, United States
125 Instituto de Física, Universidade Federal do Rio Grande do Sul (UFRGS), Porto Alegre, Brazil
126 Research Division and ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung GmbH, Darmstadt, Germany; INFN, Sezione di Torino, Turin, Italy
127 Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture, University of Split, Split, Croatia
128 Warsaw University of Technology, Warsaw, Poland
129 A.I. Alikhanyan National Science Laboratory (Yerevan Physics Institute) Foundation, Yerevan, Armenia
130 University of Tokyo, Tokyo, Japan
131 Nagasaki Institute of Applied Science, Nagasaki, Japan
132 INFN, Sezione di Bologna, Bologna, Italy; Centro Fermi - Museo Storico della Fisica e Centro Studi e Ricerche “Enrico Fermi’, Rome, Italy
133 Faculty of Engineering and Science, Western Norway University of Applied Sciences, Bergen, Norway
134 Centro de Investigación y de Estudios Avanzados (CINVESTAV), Mexico City and Mérida, Mexico
135 Physik Department, Technische Universität München, Munich, Germany
136 University of Tsukuba, Tsukuba, Japan; Laboratoire de Physique Subatomique et de Cosmologie, Université Grenoble-Alpes, CNRS-IN2P3, Grenoble, France
137 Department of Physics, Sejong University, Seoul, Republic of Korea
138 Universidade de São Paulo (USP), São Paulo, Brazil; Technische Universität München, Excellence Cluster ‘Universe’, Munich, Germany
139 Institute of Experimental Physics, Slovak Academy of Sciences, Košice, Slovakia
140 Yonsei University, Seoul, Republic of Korea
141 KTO Karatay University, Konya, Turkey
142 Hochschule Worms, Zentrum für Technologietransfer und Telekommunikation (ZTT), Worms, Germany
143 Chonbuk National University, Jeonju, Republic of Korea
144 Gangneung-Wonju National University, Gangneung, Republic of Korea
145 Inha University, Incheon, Republic of Korea; Physikalisches Institut, Ruprecht-Karls-Universität Heidelberg, Heidelberg, Germany
146 California Polytechnic State University, San Luis Obispo, California, United States
147 Suranaree University of Technology, Nakhon Ratchasima, Thailand
148 Institute of Experimental Physics, Slovak Academy of Sciences, Košice, Slovakia; School of Physics and Astronomy, University of Birmingham, Birmingham, United Kingdom
149 Nuclear Physics Institute of the Czech Academy of Sciences, Řež u Prahy, Czech Republic; Inha University, Incheon, Republic of Korea
150 University College of Southeast Norway, Tonsberg, Norway
151 China Institute of Atomic Energy, Beijing, China
152 Oak Ridge National Laboratory, Oak Ridge, Tennessee, United States; Lawrence Berkeley National Laboratory, Berkeley, California, United States
153 Joint Institute for Nuclear Research (JINR), Dubna, Russia; M.V. Lomonosov Moscow State University, D.V. Skobeltsyn Institute of Nuclear Physics, Moscow, Russia
154 University of the Witwatersrand, Johannesburg, South Africa; iThemba LABS, National Research Foundation, Somerset West, South Africa; Université de Lyon, Université Lyon 1, CNRS/IN2P3, IPN-Lyon, Lyon, France
155 Institute of Physics of the Czech Academy of Sciences, Prague, Czech Republic
156 INFN, Sezione di Bari, Bari, Italy; Università degli Studi di Foggia, Foggia, Italy
157 The Henryk Niewodniczanski Institute of Nuclear Physics, Polish Academy of Sciences, Cracow, Poland; University of Tennessee, Knoxville, Tennessee, United States
158 INFN, Sezione di Roma, Rome, Italy
159 Dipartimento di Fisica dell’Università ‘La Sapienza’ and Sezione INFN, Rome, Italy
160 Comenius University Bratislava, Faculty of Mathematics, Physics and Informatics, Bratislava, Slovakia
161 Institute for Theoretical and Experimental Physics, Moscow, Russia; Joint Institute for Nuclear Research (JINR), Dubna, Russia
162 Department of Physics, Aligarh Muslim University, Aligarh, India; Department of Applied Physics, Aligarh Muslim University, Aligarh, India
163 Institut für Kernphysik, Johann Wolfgang Goethe-Universität Frankfurt, Frankfurt, Germany; European Organization for Nuclear Research (CERN), Geneva, Switzerland
164 Warsaw University of Technology, Warsaw, Poland; European Organization for Nuclear Research (CERN), Geneva, Switzerland
165 Centro Fermi - Museo Storico della Fisica e Centro Studi e Ricerche “Enrico Fermi’, Rome, Italy; INFN, Sezione di Bologna, Bologna, Italy
166 Budker Institute for Nuclear Physics, Novosibirsk, Russia
167 INFN, Sezione di Bologna, Bologna, Italy; European Organization for Nuclear Research (CERN), Geneva, Switzerland
168 Physics Department, University of Rajasthan, Jaipur, India
169 University of Tennessee, Knoxville, Tennessee, United States; Oak Ridge National Laboratory, Oak Ridge, Tennessee, United States
170 National Centre for Nuclear Research, Warsaw, Poland; Institute of Theoretical Physics, University of Wroclaw, Wroclaw, Poland
171 Centro Fermi - Museo Storico della Fisica e Centro Studi e Ricerche “Enrico Fermi’, Rome, Italy
172 Institute for Subatomic Physics, Utrecht University/Nikhef, Utrecht, Netherlands; Lund University Department of Physics, Division of Particle Physics, Lund, Sweden
173 National Nuclear Research Center, Baku, Azerbaijan
174 Petersburg Nuclear Physics Institute, Gatchina, Russia; NRNU Moscow Engineering Physics Institute, Moscow, Russia
175 Physikalisches Institut, Eberhard-Karls-Universität Tübingen, Tübingen, Germany
176 Oak Ridge National Laboratory, Oak Ridge, Tennessee, United States; Institut für Kernphysik, Johann Wolfgang Goethe-Universität Frankfurt, Frankfurt, Germany
177 European Organization for Nuclear Research (CERN), Geneva, Switzerland; Université de Strasbourg, CNRS, IPHC UMR 7178, F-67000 Strasbourg, France, Strasbourg, France
178 Hiroshima University, Hiroshima, Japan
179 Research Division and ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung GmbH, Darmstadt, Germany; NRNU Moscow Engineering Physics Institute, Moscow, Russia
180 Nara Women’s University (NWU), Nara, Japan
181 Central China Normal University, Wuhan, China; Shanghai Institute of Applied Physics, Shanghai, China
182 European Organization for Nuclear Research (CERN), Geneva, Switzerland; Physik Department, Technische Universität München, Munich, Germany
183 European Organization for Nuclear Research (CERN), Geneva, Switzerland; Dipartimento di Fisica dell’Università and Sezione INFN, Trieste, Italy
184 Indonesian Institute of Sciences, Jakarta, Indonesia
185 Centre de Calcul de l’IN2P3, Villeurbanne, Lyon, France
186 University of the Witwatersrand, Johannesburg, South Africa
187 Niels Bohr Institute, University of Copenhagen, Copenhagen, Denmark; Lund University Department of Physics, Division of Particle Physics, Lund, Sweden
188 Research Division and ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung GmbH, Darmstadt, Germany; European Organization for Nuclear Research (CERN), Geneva, Switzerland
189 Westfälische Wilhelms-Universität Münster, Institut für Kernphysik, Münster, Germany; European Organization for Nuclear Research (CERN), Geneva, Switzerland
190 Laboratoire de Physique Subatomique et de Cosmologie, Université Grenoble-Alpes, CNRS-IN2P3, Grenoble, France; University of Tsukuba, Tsukuba, Japan
191 Central China Normal University, Wuhan, China; Université Clermont Auvergne, CNRS/IN2P3, LPC, Clermont-Ferrand, France




