Due to an oversight of ours in proofreading and a communication problem with the publisher, the figures published in F. Becattini et al. Eur. Phys. J. C (2015) 75: 406 were not correct. This Erratum contains the correct figures as in arXiv 1501.04468v2, submitted on March 12 2015, and the post-publication version arXiv 1501.04468v3, submitted on August 17 2015

A. Beraudo

A. De Pace

F. Becattini

G. Inghirami

G. Pagliara

L. Del Zanna

M. Nardi

V. Chandra

V. Rolando

The European Physical Journal C

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Erratum to: A study of vorticity formation in high energy nuclear collisions

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by F. Becattini, G. Inghirami, V. Rolando, A. Beraudo, L. Del Zanna, A. De Pace, M. Nardi,G. Pagliara and Vinod Chandr

Becattini, F.

Inghirami, G.

Rolando, V.

Beraudo, A.

Del Zanna, L.

De Pace, A.

Nardi, M.

Pagliara, G.

Chandra, Vinod

IIT Gandhinagar

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Eur. Phys. J. C (2018) 78:354https://doi.org/10.1140/epjc/s10052-018-5810-4ErratumErratum to: A study of vorticity formation in high energy nuclearcollisionsF. Becattini1,2,a, G. Inghirami1,3, V. Rolando4,5, A. Beraudo6, L. Del Zanna1,2,7, A. De Pace6, M. Nardi6,G. Pagliara4,5, V. Chandra81 Dipartimento di Fisica e Astronomia, Università di Firenze, Via G. Sansone 1, 50019 Sesto F.no (Firenze), Italy2 INFN, Sezione di Firenze, Via G. Sansone 1, 50019 Sesto F.no (Firenze), Italy3 Frankfurt Institute for Advanced Studies (FIAS), Johann Wolfgang Goethe University, Frankfurt am Main, Germany4 Dipartimento di Fisica e Scienze della Terra, Universitá di Ferrara, Via Saragat 1, 44100 Ferrara, Italy5 INFN, Sezione di Ferrara, Via Saragat 1, 44100 Ferrara, Italy6 INFN, Sezione di Torino, Via P. Giuria 1, 10125 Turin, Italy7 INAF, Osservatorio Astrofisico di Arcetri, L.go E. Fermi 5, 50125 Florence, Italy8 Indian Institute of Technology Gandhinagar, Ahmedabad, Gujarat 382424, IndiaReceived: 1 March 2018 / Accepted: 12 April 2018 / Published online: 3 May 2018© The Author(s) 2018Erratum to: Eur. Phys. J. C (2015) 75:406https://doi.org/10.1140/epjc/s10052-015-3624-1Due to an oversight of ours in proofreading and a commu-nication problem with the publisher, the figures publishedin F. Becattini et al. Eur. Phys. J. C (2015) 75:406 were notcorrect. This Erratum contains the correct figures (Figs. 2, 3,5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15) as in arXiv:1501.04468 0 0.0002 0.0004 0.0006 0.0008 0.001 0.0012 0.0014 0.0016 0.1  0.15  0.2  0.25  0.3  0.35  0.4  0.45  0.5Grid resolution (fm)τxτyτηxyyηηxFig. 2 Mean of the absolute value of T-vorticity components, dividedby T 2, at the freeze-out as a function of the grid resolutionThe original article can be found online at https://doi.org/10.1140/epjc/s10052-015-3624-1.a e-mail: becattini@fi.infn.it[v2], submitted on March 12 2015, and the post-publicationversion arXiv:1501.04468 [v3], submitted on August 172015.-4-2 0 2 4-4 -2  0  2  4x (fm)η-0.001-0.0008-0.0006-0.0004-0.0002 0 0.0002 0.0004 0.0006Fig. 3 Contour plot of Ωxη/τT 2 at the freeze-out hypersurface aty = 0123354 Page 2 of 4 Eur. Phys. J. C (2018) 78 :354 1e-05 0.0001 0.001 0.01 0.1 0  0.04  0.08  0.12  0.16η/sτxτyτηxyyηηx 0 0.001 0.002 0.003 0.004 0.005 0.006 0.007 0.008-0.01  0  0.01  0.02  0.03  0.04  0.05η/sτxτyτηxyyηηxFig. 5 Mean of the absolute values of Ωμν/T 2 components atthe freeze-out hypersurface as a function of η/s. Note that theΩxη,Ωyη,Ωτη have been multiplied by 1/τ . Upper panel: log scale.Lower panel: magnification of the region around zero viscosity-0.04-0.03-0.02-0.01 0 0.01 0.02 0.03 0.04-4 -3 -2 -1  0  1  2  3  4V1Y (rapidity)ηm=1.5ηm=2.0ηm=2.5ηm=3.0ηm=3.5STAR c=40-80%Fig. 6 Directed flow of pions for different values of ηm parameter withη/s = 0.1 compared with STAR data [1]-0.04-0.03-0.02-0.01 0 0.01 0.02 0.03 0.04-4 -3 -2 -1  0  1  2  3  4V1Y (rapidity)unviscidη/s=0.02η/s=0.04η/s=0.08η/s=0.10η/s=0.12η/s=0.16STAR c=40-80%Fig. 7 Directed flow of pions for different values of η/s with ηm = 2.0compared with STAR data [1]-0.04-0.03-0.02-0.01 0 0.01 0.02 0.03 0.04-4 -3 -2 -1  0  1  2  3  4V1Y (rapidity)Fig. 8 Directed flow of pions at η/s = 0.1 and ηm = 2.0 comparedwith STAR data [1] 2000 2200 2400 2600 2800 3000 3200 3400 3600 1  1.5  2  2.5  3  3.5  4|Jy | (- h units)ηmFig. 9 Angular momentum (in h̄ units) of the plasma with Bjorkeninitial conditions as a function of the parameter ηm123Eur. Phys. J. C (2018) 78 :354 Page 3 of 4 354 0 10000 20000 30000 40000 50000 60000 70000 80000 90000 0  2  4  6  8  10  12  14|Jy | (- h units)b (fm)Fig. 10 Estimated angular momentum (in h̄ units) of the overlap regionof the two colliding nuclei (solid line) and total angular momentum ofthe plasma according to the parametrization of the initial conditions(dashed line), as a function of the impact parameter 0 0.05 0.1 0.15 0.2 0.25 0  0.04  0.08  0.12  0.16η/sτxτyτηxyyηηxFig. 11 Mean of the absolute value of thermal vorticity covariantcomponents at the freeze-out as a function of η/s. Note that thexη,yη,τη have been multiplied by 1/τ-0.008-0.007-0.006-0.005-0.004-0.003-0.002-0.001 0 0.001 0  0.04  0.08  0.12  0.16η/sτxτyτηxyyηηxFig. 12 Mean values of thermal vorticity components at the freeze-outas a function of η/s. Note that the xη,yη,τη have been multipliedby 1/τ-4-2 0 2 4-4 -2  0  2  4x (fm)η-0.05-0.04-0.03-0.02-0.01 0 0.01 0.02 0.03Fig. 13 Contour plot of 1/τ -scaled ηx covariant component of thethermal vorticity, ηx/τ over the freeze-out hypersurface for y = 0,η/s = 0.1, ηm = 2.0123354 Page 4 of 4 Eur. Phys. J. C (2018) 78 :354|Π0|-4 -3 -2 -1  0  1  2  3  4px [GeV]-4-3-2-1 0 1 2 3 4p y [GeV]0.0 1002.0 10-34.0 10-36.0 10-38.0 10-31.0 10-21.2 10-21.4 10-2(a) Π0x-4 -3 -2 -1  0  1  2  3  4px [GeV]-4-3-2-1 0 1 2 3 4p y [GeV]-2.0 10-3-1.5 10-3-1.0 10-3-5.0 10-40.0 1005.0 10-41.0 10-31.5 10-32.0 10-3(b)Π0y-4 -3 -2 -1  0  1  2  3  4px [GeV]-4-3-2-1 0 1 2 3 4p y [GeV]-2.0 10-3-1.5 10-3-1.0 10-3-5.0 10-40.0 1005.0 10-41.0 10-31.5 10-3(c) Π0z-4 -3 -2 -1  0  1  2  3  4px [GeV]-4-3-2-1 0 1 2 3 4p y [GeV]-1.5 10-2-1.0 10-2-5.0 10-30.0 1005.0 10-31.0 10-21.5 10-2(d)Fig. 14 Magnitude (a) and components (b–d) of the polarization vector of the  hyperon in its rest frame-0.04-0.03-0.02-0.01 0 0.01 0.02 0.03 0.04-4 -3 -2 -1  0  1  2  3  4V1Y (rapidity)A=0.0005 fm-1A=0. fm-1A=-0.0005 fm-1STAR c=40-80%Fig. 15 Directed flow of pions at η/s = 0.1 and ηm = 2.0 and withinitial uη = 1τtanh Ax sinh(ybeam − |η|) as in the eq. (36) of theamended paper (Eur. Phys. J. C (2015) 75:406) compared with STARdata [1]Open Access This article is distributed under the terms of the CreativeCommons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution,and reproduction in any medium, provided you give appropriate creditto the original author(s) and the source, provide a link to the CreativeCommons license, and indicate if changes were made.Funded by SCOAP3.Reference1. B.I. Abelev et al. (STAR Collaboration), Phys. Rev. Lett. 101,252301 (2008)123

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