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Articlehistory:
Received 16 November 2019
Received in revised form 8 February 2020 Accepted 15 April 2020
Available online 21 April 2020 Editor: W.-D. Schlatter
TheinclusiveJ/ψmesonproductioninPb–Pb collisionsatacenter-of-massenergypernucleon–nucleon collision of √sNN=5.02 TeV atmidrapidity (|y|<0.9) is reported by the ALICE Collaboration. The
measurementsareperformedinthedielectrondecaychannel,asafunctionofeventcentralityandJ/ψ
transverse momentum pT,downto pT=0. TheJ/ψ mean transversemomentum pT andrAA ratio,
defined as p2
TPbPb/p2Tpp, are evaluated. Bothobservables show acentrality dependence decreasing
towards central (head-on) collisions. The J/ψ nuclear modification factor RAA exhibits a strong pT
dependence with a large suppression at high pT and an increase to unity for decreasing pT. When
integratingoverthemeasuredmomentumrange pT<10 GeV/c,theJ/ψ RAA showsaweakcentrality
dependence. Each measurementis comparedwith results atlower center-of-mass energiesand with ALICEmeasurements atforwardrapidity,as wellastotheorycalculations.Allreportedfeaturesofthe J/ψproductionatlowpTareconsistentwithadominantcontributiontotheJ/ψyieldoriginatingfrom
charmquark(re)combination.
©2020EuropeanOrganizationforNuclearResearch.PublishedbyElsevierB.V.Thisisanopenaccess articleundertheCCBYlicense(http://creativecommons.org/licenses/by/4.0/).FundedbySCOAP3.
1. Introduction
TheQuark-GluonPlasma(QGP)isastateofstrongly-interacting mattercharacterizedby quarkandgluondegreesoffreedom pre-dictedby QuantumChromodynamics(QCD) toexist athigh tem-perature and energy density [1,2]. Such conditions are realized duringthe initialhot anddensestagesof ultra-relativistic heavy-ioncollisions.Themediumproducedinthesecollisionshasashort lifetime,whichisoftheorderof10 fm/c attheenergies reached attheCERNLargeHadronCollider(LHC),seee.g. [3].
Dueto their large masses, charm andbeauty quarksare pro-ducedinhardpartonicscatteringsoccurringduringtheearlystage ofthecollisionandthereforeexperience thefull evolutionofthe medium.Charmonia,i.e.theboundstatesofcharmandanti-charm quarks,areofparticularinterestfortheunderstandingoftheQGP, seee.g. [4,5].Intheframeworkofcolor-screeningmodels,the sup-pressionofthecharmoniumstateJ
/ψ
isanunambiguoussignature oftheQGP [6,7].Thehighdensityofcolorchargespreventscharm andanti-charmquarks fromformingbound states.Therefore,the J/ψ
yield is expectedto be suppressed compared to probes un-affected by the hot and dense medium or from expectations of theincoherentsuperpositionofnucleon–nucleoncollisions atthe sameenergy.Thiswasexperimentallyobservedinthemostcentral heavy-ioncollisionsatSPS [8–10] andRHIC [11–13] energies.E-mailaddress:alice -publications @cern .ch.
At the significantly higher collision energies of the LHC, the suppression pattern of J
/ψ
mesons in heavy-ion collisions is fundamentally changed. In central Pb–Pb collisions at√
sNN=
2
.
76 TeV, where√
sNN is the center-of-mass collision energyper nucleon–nucleon pair, the suppression was found to be weaker [14–16] in comparisonwith theearlier measurements at lowerenergies mentionedabove.Theeffectwas measuredbythe ALICECollaborationatbothmid- andforwardrapidity,dominantly for J
/ψ
mesons at a low transverse momentum (pT). Thisphe-nomenonisunderstoodastheresultofthecharmonium (re)gen-eration due to copiously produced charm quarks, made possible by the deconfined nature of the QGP. In addition to the weaker nuclearsuppressionofcharmonia,recentobservationsofnon-zero ellipticflowofD [17,18] andJ
/ψ
[19] mesons,suggestthatcharm quarksmaythermalizeandflowwiththebulkparticlesduringthe QGPphase.Therearedifferentphenomenologicalscenariosavailableforthe description of charmoniumproduction in heavy-ioncollisions. In the frameworkof statisticalhadronization,all charmonium states are created at chemical equilibrium at the phase boundary and their abundancesaredetermined bythermalweights [20,21].The transport approach considers a continuous productionand disso-ciationof charmoniumstatesalready during theQGP phase gov-erned by aset ofrateequations [22]. Anotherapproach includes charmonium dissociation by the scattering of comoving partons andhadronswitha(re)generationcomponentatLHCcollision en-ergies [23].Allcurrentmodelsimplementingstatistical hadroniza-tion,microscopictransportapproaches [24,25] orcomover
interac-https://doi.org/10.1016/j.physletb.2020.135434
0370-2693/©2020 European Organization for Nuclear Research. Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). Funded by SCOAP3.
isdefinedby theratiooftheproductionyieldinPb–Pb collisions and the production cross section in pp collisions normalized by thenuclearoverlapfunction
TAA,asafunctionofeventcentralityandJ
/ψ
pT,isobtainedusingtherecentALICEmeasurementoftheinclusiveJ
/ψ
crosssectioninpp collisionsat√
s=
5.
02 TeV [27]. Thenewpp referenceandthelargerPb–Pb datasetallowfora sig-nificant reduction of the uncertainties compared to our previous measurements at√
sNN=
2.
76 TeV [14,28]. The results arecom-pared with statistical [20], microscopic parton transport [24,25], andcomover [23] modelcalculations.
Themeasurementspresentedinthispublicationprovidea sig-nificant complement to results in Pb–Pb collisions at the same collision energy by the ALICE Collaboration at forward rapid-ity [29], the measurements on J
/ψ
suppression at high pT bythe ATLAS [30] and CMS [31] Collaborations around midrapidity, as well as to results at forward rapidity in Xe–Xe collisions at
√
sNN
=
5.
44 TeV [32].2. Apparatusanddatasample
AdetaileddescriptionoftheALICEdetectoranditsperformance can be found in Refs. [33,34]. The ALICE central barrel detector allowsforhighresolutiontrackingandparticleidentificationover thefullazimuthalangleinthepseudorapidityrange
|
η
|
<
0.
9.The entiresetup isplaced insideasolenoidalmagnet,whichcreatesa uniformaxialmagneticfieldofB=
0.
5 Talongthebeamdirection. The maindetectors used forthe J/ψ
meson reconstruction in thee+e− decaychannel arethe Inner TrackingSystem(ITS) [35] andtheTimeProjectionChamber(TPC) [36].TheITSconsistsof6 cylindricallayers ofsilicondetectorsplaced atradial distancesto thebeamlinefrom3.
9 cmto43 cmandprovideshigh-precision trackingclosetotheinteractionpointaswellasthedetermination oftheprimaryvertexoftheevent.Thetwoinnermostlayersform the Silicon PixelDetector (SPD), the intermediate two layers are theSiliconDriftDetector(SDD),andthe outermostlayersarethe SiliconStripDetector(SSD).Placed around the ITS, the TPC detector is a large cylindrical driftchamber extendingradiallyfrom85 cmto 250 cmfromthe nominal interaction point (x
=
y=
z=
0 cm) andlongitudinally between−
250 cmand+
250 cm. In addition to beingthe main trackingdetector,the TPCalso providesparticle identificationvia the measurement of the specific energy loss (dE/
dx) of charged particlesinthedetectorgas.TheV0detectors [37] consistoftwoscintillatorarrays,V0Aand V0C, whichare located onboth sidesof the nominalinteraction pointatz
=
329 cmandz= −
90 cmandcoverthe pseudorapid-ityinterval 2.
8≤
η
≤
5.
1 and−
3.
7≤
η
≤ −
1.
7. Thecentrality of the events, expressed in fractions of the total inelastic hadronic crosssection,isdeterminedviaaGlauber fittotheV0amplitude asdescribedin [38–40].Inaddition,the V0detectorsareusedto providea minimum-biastrigger(MB), definedasthecoincidence ofsignalsinbothV0arraysandthebeamcrossing.availableforanalysis,correspondingtoanintegratedluminosityof
Lint
≈
10μ
b−1.3. Analysismethods
The J
/ψ
candidates are reconstructed using the e+e− decay channel.The selectedelectroncandidatesaretracksreconstructed using both the ITS and TPC detectors. They must have a min-imum transverse momentum of 1 GeV/
c and pseudorapidity in the range|
η
|
<
0.
9. Primary electrons are selected using a max-imumdistance-of-closest-approachtotheeventvertexofatmost 1 cm and 3 cm inthetransverse andlongitudinal directions, re-spectively. Additionally,kink-daughters, i.e.secondary tracksfrom long-livedweakdecaysofchargedparticles,areremovedfromthe analysis.Inordertoimprovetheresolutionoftrackreconstruction andtoreject secondaryelectrons fromphotonconversions inthe detectormaterial,thetracksareselectedtohaveatleastonehitin eitherofthetwoSPDlayers.Electronsandpositronsfromphoton conversions are further rejectedusing a prefilter method [27] in whichtrackcandidatesformingpairswithanelectron-positron in-variantmasslowerthan50 MeV/
c2areremovedfromanyfurther pairing. In the TPC, the electron candidates are requiredto have atleast70 outof159 possiblespacepointsattachedtothetrack, whichensuresgoodtrackingandparticleidentificationresolution. Electrons areidentified by requiringthat themeasured dE/
dx in the TPC lies within a±
3σ
e band around the expected valueforelectrons estimatedfromaparameterizationofthe Bethe for-mula,where
σe
istheparticleidentification(PID)resolutioninthe TPCforelectrons.Thehadroncontaminationisreducedby exclud-ing tracks compatible withthe protonor pionhypothesis within±
3.
5σ
p,π
.The numberof observed J
/ψ
is obtainedby constructing the invariant mass distribution of all combinations of opposite-sign (OS)electron pairsfromthesameevent. Thetop panelsofFig.1show theinvariantmassdistributions obtainedincentral (0–10%, left) and peripheral (60–90%, right) collisions together with the estimatedbackground.The backgroundisobtainedusingthe dis-tributionofOSpairsconstructedbypairingelectronsandpositrons fromdifferentevents,so-calledmixedevents(ME),whichisscaled to match the same-event OS invariant mass distribution in two massintervalsoneithersideoftheJ
/ψ
signalregion:2.
0<
mee<
2
.
5 GeV/
c2 and 3.
2<
mee
<
3.
7 GeV/
c2, where the J/ψ
contri-bution is expected to be negligible. The raw J
/ψ
signal is then obtainedby integratingthebackground-subtracted distributionin the mass window 2.
92–3.
16 GeV/
c2. The lower panels of Fig. 1showtheOSinvariantmassdistributionafterbackground subtrac-tion. Good agreement with the J
/ψ
invariant mass distribution from MonteCarlo(MC) simulation, normalized tothe integral of the raw signal, isobserved. The potentially remaining correlated background from semi-leptonic decays of cc and bb pairs is in-cludedinthesystematicuncertainty.Fig. 1. Top
panels: Invariant mass distribution of opposite-sign pairs from the same event and mixed events for the 0–10% (left) and 60–90% (right) centrality classes in
Pb–Pb collisions at √sNN=5.02 TeV. Bottom panels: Background-subtracted invariant mass distributions in comparison with the expected Monte Carlo signal shape.
Thecorrected J
/ψ
pT-differential productionyield isobtainedinagivencentralityclassas
d2N
d ydpT
=
NJ/ψ
Nev
×
BRJ/ψ→ee× (
A×
)
×
y×
pT,
(1)whereNJ/ψ isthenumberofreconstructedJ
/ψ
intheconsideredcentralityclass and pT and y intervals, Nev is the corresponding
numberofevents,A
×
istheacceptanceandefficiencycorrection factorandBRJ/ψ→ee
= (
5.
971±
0.
032)
% isthe branching ratiooftheJ
/ψ
decayingintothedielectronchannel [42].MCsimulationsofPb–Pb collisionswithembeddedunpolarized J
/ψ
mesons areused toobtainthe A×
factors.ThePb–Pb col-lisions are generated usingHIJING [43]. For the J
/ψ
,the prompt componentisgenerated usinga pT distributiontuned to theex-isting Pb–Pb measurements at forward rapidity while the non-prompt component is obtained from bb pairs generated with PYTHIAforcedto decayintochannelswithJ
/ψ
inthefinal state. The J/ψ
decays into the e+e− channel are handled using PHO-TOS [44].Thetransport ofthesimulatedparticles inthedetector material is performed using a GEANT3 [45] model of the ALICE apparatusandthe samealgorithm asforthe realdatais usedto reconstructthe simulated tracks.The acceptance timesefficiency correction factors include the kinematic acceptance, the recon-struction and PID efficiencies, and the fraction of signal in the integratedinvariantmass window.The acceptancecorrection fac-tor amounts to 33% and the fraction of the signal in the mass counting window is approximately 65%. Reconstruction and PID efficiencies are centralitydependent and together amount to ap-proximately24% inthe mostcentral collisions growing monoton-icallytoapproximately32% inthemostperipheralcollisions. The correction factors are also pT dependent which, for large pTin-tervals,induces adependenceontheMonteCarlo pT distribution
oftheembedded J
/ψ
.Thisistakenasasourceofsystematic un-certainty andis discussed in thefollowing section. The inclusivepT-integratedJ
/ψ
productionis measured in 5 differentcentral-ity classes: 0–10%, 10–20%, 20–40%, 40–60% and 60–90% while the pT-differential crosssectionsare obtainedin largercentrality
classestoensure sufficientstatisticalsignificance:0–20%, 20–40% and40–90%.
The average transverse momentum of J
/ψ
, pT, is extractedusing a binned log-likelihood fit of the
peeT distribution of all electron pairsasa functionofthe invariantmass. Eachpair con-tributionisweightedbythe(
A×
)
−1 factorcorrespondingtoits centralityandpT.TheOSpeeTdistributionisfittedwiththefunc-tion:
peeT(
mee)
=
Nbkg(
m ee)
×
pbkgT(
mee)
+
NJ/ψ(
mee)
×
pT Nbkg(
m ee)
+
NJ/ψ(
mee)
,
(2)where Nbkg
(
mee)
and NJ/ψ(
mee)
are the mass-dependentdistri-butions ofbackgroundandsignal pairs determinedvia thesignal extractionproceduredescribedabove.Thebackgroundmean trans-verse momentum,
pbkgT , dependson the invariant mass andits shape is obtainedfrom the ME technique, while its overall nor-malizationcanvaryinthefit.Fig.2illustratesthepTextractionprocedureforthe mostcentral andmostperipheral centrality in-tervalsusingdielectronpairsinthetransversemomentuminterval 0
.
15<
pT<
10 GeV/
c. A similar procedure is employed also forthesecondmomentofthetransversemomentumdistribution
p2T. A low-pT cut-offon the J/ψ
candidates is applied dueto theobservationofaJ
/ψ
excessforpT<
0.
3 GeV/
c atforwardrapidityin peripheral Pb–Pb collisionsat
√
sNN=
2.
76 TeV [46], which isfoundtooriginatefromcoherentphoto-production.Sincethis pro-ductionmechanismis notnormallyincluded inhadro-production models,the low-pT interval isexcluded forenabling comparisons
withtheoreticalcalculations.Atmidrapidity,mainlyduetoabetter momentumresolution,nearlyallofthecoherentyieldiscontained in therange ofreconstructed pT
<
0.
15 GeV/
c,asshown by theALICEmeasurements of J
/ψ
photo-production inultra-peripheral collisions [47].Asmallcomponentofincoherentlyphoto-produced J/ψ
isstillpresentintherangepT<
1 GeV/
c,butforthecentral-ityintervals considered inthiswork it is negligible.Thus, inthe following, unless otherwise specified, all the results refer to J
/ψ
Fig. 2. Extraction
of the J
/ψ pTin Pb–Pb collisions at √sNN=5.02 TeV for the 0–10% (left) and 60–90% (right) centrality classes in the transverse momentum interval 0.15 <pT<10 GeV/c.The background, obtained from event-mixing, is shown by the red line.
Table 1
Average number of participant nucleons Npartand average nu-clear overlap function TAAfor the centrality classes used in this analysis. The values are derived from [40].
Centrality (%) Npart TAA(mb−1) 0–10 357.3±0.8 23.26±0.17 0–20 309.7±0.9 18.83±0.14 10–20 262.0±1.2 14.40±0.13 20–40 159.4±1.3 6.97±0.09 40–60 70.7±0.9 2.05±0.04 40–90 39.0±0.7 1.00±0.03 60–90 17.9±0.3 0.31±0.01 0–90 125.9±1.0 6.28±0.12
TheinclusiveJ
/ψ
nuclearmodificationfactoriscomputedfora givencentralityclassasRAA
=
d2N
/
d ydpT TAAd2σ
pp/
d ydpT,
(3)whered2N
/
d ydpTistheinclusiveJ/ψ
yielddefinedinEquation1,the
TAA is the average nuclear overlap function correspondingto the considered centrality class and d2
σ
pp/
d ydpT is thein-clusive J
/ψ
cross section measured by ALICE in pp collisions at√
s
=
5.
02 TeV [27].Thevaluesusedforthenuclearoverlap func-tionareshowninTable1andareobtainedfrom [40].4. Systematicuncertainties
ThesystematicuncertaintiesonthemeasuredJ
/ψ
yields,pT,and
p2Toriginatefromuncertaintiesontracking,electron identifi-cation,signalextractionprocedure,thekinematicsusedintheMC simulationfor estimatingthe A×
corrections, andthe J
/ψ
de-caybranchingratio.Forthe RAAandtherAA,theuncertaintiesontheJ
/ψ
crosssectionmeasurementinpp collisions [27] and(only inthecaseoftheRAA)onthenuclearoverlapfunctionTAA[40]needtobeconsideredinaddition.Asummaryoftheuncertainties onthe pT-integratedandpT-differentialyieldsisgiveninTable2.
The systematic uncertainty on the tracking of the candidate electrons is mainly due to uncertainties on the ITS-TPC track matchingandonthetrackreconstructionefficiencyinboththeITS andtheTPC.Theseuncertainties,mainlyduetodifferencesinthe reconstruction efficiencybetweendata andMC, are estimatedby varyingthe maintrackselection criteriaandrepeating thewhole analysischain.Allvariations whichprovideacorrected yieldthat deviates fromthe yieldobtained withthestandard selection cri-teria by more than one standard deviation are considered [48]. Thetrackinguncertaintyisthenobtainedastheroot-mean-square
Table 2
Systematic uncertainties on the pT-integrated and on pT-differential J/ψ yields for different centrality intervals. Only the ranges of uncertainty are quoted over the considered centrality intervals. The individual contributions and the total uncertain-ties are given as percent values.
Source pT-integrated pT-differential pT rAA
Tracking 2–7 4–9 2–4 3–6
PID 3–6 1–6 1–2 2–4
Signal extraction 2–7 5–7 1–2 2–3
MC input 2 1–2 n.a. n.a.
TAA 2–5 2–5 n.a. n.a.
pp reference 7 9–12 3 5
of the distribution of all the valid variations, while the distribu-tion mean is used asthe central value. For the J
/ψ
yields, this uncertainty ranges between2% and 7%as a function of central-ity(integrated over pT) andbetween 4%and9%asafunction oftransversemomentum.Thetrackingsystematicuncertaintyonthe
pTandp2Taresmallerthan thoseforthe correctedyieldsanddetailedinTable2.
Uncertaintiesontheelectron identificationareduetotheTPC electronPIDresponseandthehadronrejection.Adata-driven pro-cedure is used to improve the matching betweendata and sim-ulation forthe electronselection by employing a pure sample of electrons from tagged photon conversions in the detector mate-rial.TheresidualmismatchesareestimatedbyvaryingallthePID selection criteria following a similar procedure as for the track-ing systematic uncertainty. The extracteduncertainty onthe J
/ψ
yieldsrangesbetween1%and6%,dependingonthecentralityand transversemomentuminterval.
The uncertainty fromthe signal extractionprocedure includes twocomponents,oneduetotheJ
/ψ
signalshapeandonedueto theresidualcorrelateddielectronbackgroundintheJ/ψ
mass re-gion.Inordertoestimatetheuncertaintyonthesignalshape,the corrected J/ψ
yields are estimated using variations of the stan-dard signal counting mass region, 2.92-3.16 GeV/
c2. For this weused three additional values of the lower mass limit, between 2.92 and 2.80 GeV
/
c2 and two additional values for the upper mass limit, namely 3.12 and3.20 GeV/
c2. The correlateddielec-tron background in theinvariant massrange used to extract the signalhasgenerallyadifferentshapecomparedtothe combinato-rialbackground.SomatchingtheMEbackgroundinthesidebands ofthesame-eventOSdistributionmayleadtoabiasinthe estima-tionoftherawyields.Thisistakenasasystematicuncertaintyand is estimatedby varying themass ranges ofthe sidebands where the ME backgroundis matched.By thesevariations the widthof the sidebands was modified between 400 and 800 MeV
/
c2. TheFig. 3. Left
panel: Transverse momentum dependence of the J
/ψproduction yields in Pb–Pb collisions at √sNN=5.02 TeV at midrapidity in the centrality intervals 0–20%, 20–40%, and 40–90%. Right panel: Comparison of the pTdistribution in the centrality interval 0–20% with models [25,49].asafunctionofcentralityandbetween5%and7%asafunctionof
pT.
TheacceptanceandefficiencycorrectionispTdependentwhich
makes correction factors averaged over large pT intervals
sensi-tivetotheJ
/ψ
pT spectrumusedinthesimulation.SinceprecisemeasurementsoftheJ
/ψ
transversemomentumspectraat midra-pidity down to pT=
0 GeV/
c are not available, the simulationsusedforcorrectionsrelyontheALICEmeasurementatforward ra-pidity(2
.
5<
y<
4.
0)inPb–Pb collisionsat√
sNN=
5.
02 TeV [29].The measured spectrum including the statistical and systematic uncertaintiesis fittedusinga powerlawfunction andthefit pa-rameters are varied randomly within their allowed uncertainties takingintoaccount their correlation matrix.The resulting uncer-tainty amounts to 2% for the pT-integrated corrected yields and
rangesbetween1%to2%intheconsidered pTintervals.
Systematicuncertaintiesontheextractionof
pTandp2Tareobtainedby repeating thefitprocedurewithsimilar variationsof trackingand PID selectionsasfor the yield estimation.Since for thismeasurementthe A
×
correctionisappliedforeach dielec-tronpairusingafine-binneddistributionofthecorrectionfactors, thesystematicuncertaintyduetothekinematicsoftheJ
/ψ
used intheMC simulationisnegligible.In addition,thepTandp2Tare also extractedby directly fittingthe corrected J
/ψ
spectrum withapowerlawfunctionandarefoundtobe compatibletothe valuesobtainedfromthefitwithEquation2.Systematicuncertaintiesonthetracking,PIDandMC kinemat-icsare consideredtobe partlycorrelated overboththecentrality and the transverse momentum. The systematic uncertainties on signal extraction are considered as uncorrelated. The uncertain-ties on the nuclear overlap function are taken as uncorrelated over centrality and fully correlated over pT within a given
cen-tralityinterval.The uncertaintyonthe pT-integratedpp reference
isconsidered tobe fullycorrelated overcentrality, whilethe un-certainties on the pT-differential values are fully correlated over
centralityandhighlycorrelatedover pT.
5. Resultsanddiscussions
The inclusiveJ
/ψ
pT-differential yields evaluated usingEqua-tion1 are shownin the left panel ofFig. 3 (left) forthe 0–20%, 20–40%,and40–90%centralityintervals.Theverticalerrorbars in-dicate statisticaluncertainties whilethe systematic uncertainties, independentlyof their degree ofcorrelation, are shownas boxes aroundthedatapoints.Thehorizontalerrorbarsshowthe evalu-atedpT-rangewiththedatapointplacedinthecenter.
The experimental results are compared with different phe-nomenologicalmodelsofthecharmoniumproductionin relativis-tic heavy-ion collisions, i.e. the statistical hadronization model
(SHM)byAndronicetal.[21],thecomoverinteractionmodel(CIM) by Ferreiro [23,50] and two differentmicroscopic transport mod-els,byZhaoetal.(TM1) [24] andbyZhouetal.(TM2) [25].
In the SHM, all heavy quarks are produced during the initial hard partonicinteractionsfollowedby their thermalizationinthe QGP andthe subsequentformation of bound statesatthe phase boundary according to their thermal weights. The pT-integrated
charmed-hadronyields depend only onthe totalcc cross section inheavy-ioncollisionsandonthechemicalfreeze-outparameters, which are determined by fitting measured light-flavored hadron yields. In addition to the high-density core part in the QGP, a corona contribution is added for the casethat the nuclear den-sity decreases below10% ofits maximal value, where noQGP is assumed andthe number ofJ
/ψ
is calculated fromyields in pp collisions scaled by the number ofbinary nucleon–nucleon colli-sion.Arecent updateofthe SHM [49] usesa MUSIC(3+1)D [51] hydrodynamical simulationtoextractthe transverseflowvelocity andtheradialvelocityprofileofthefreeze-outhyper-surface,such thattheJ/ψ
pTcanbeextractedfromablast-waveparameteriza-tionwhichfollowsaHubble-likeexpansion [52].
The CIM [23] was developedspecificallyforthedescription of charmonium suppression in heavy-ion collisions via its interac-tions with a comovingmedium, either hadronicor partonic.The hotmediumeffectsaremodeledusingarateequationwhich con-tains a loss term for charmonium dissociation, and a gain term for(re)generation.Inthismodel,thecharmoniumdissociationrate dependsonthedensityofcomovers,obtainedfromexperimental measurements andon thecharmonium dissociationcrosssection which is an energy-independent parameter of the model, fixed fromfitstolowenergydata.Charmoniumdissociationisbalanced bythe(re)generationcomponentwhichdependsontheprimordial charm-quarkcrosssection.
Both microscopic transport models considered here, TM1 [24] andTM2 [25], solve theBoltzmannequation forcharmonia (J
/ψ
,χ
candψ
)withdissociationandrecombinationterms.Eachmodel considersthefireballevolutionusingimplementationsofideal hy-drodynamicswhichincludeboththedeconfined andthehadronic phase separated by a first order phase transition. The dissocia-tion rate in both models depends on the medium density and on a lattice-QCD-inspired charmonium binding energy (in TM1) orsquaredradius ofthe boundstate (in TM2),all ofthem being functionsoftemperature. The(re)generationcomponentis imple-mented using differentapproaches. Inthe TM1 calculations, it is based on the assumption that the charm quarks reach statistical equilibrationaftera relaxationtimeofaboutafew fm/c,whilein theTM2calculationsthecharm quarksarerecombinedusing theFig. 4. J/ψ pT(left) and rAA(right) at midrapidity as a function of the mean number of participant nucleons Npart. The ALICE measurements at √sNN=5.02 TeV are compared with previous results in pp and Pb–Pb collisions at 2.76 TeV [28], Pb–Pb collisions at 5.02 at forward rapidity [53], and with those at lower collision energies at SPS [54] and RHIC [11,55,56]. The red box around unity at Npart≈400 in the right panel indicates the correlated uncertainty of the ALICE data points due to the p2Tin pp collisions.
Fig. 5. Inclusive
J
/ψpT(left) and rAA(right) in pp [27] and Pb–Pb collisions at √sNN=5.02 TeV at midrapidity as a function of the mean number of participating nucleons. The ALICE results are compared with calculations from the transport models [57,58] and the SHM [49]. The colored bands represent model uncertainties. As in Fig.4, the red box around unity at Npart≈400 in the right panel indicates the correlated uncertainty of the ALICE data points due to the p2Tin pp collisions.samecrosssection asforthedissociationprocessanda thermal-izeddistributionofcharmquarks.
Theprimordial cc productioncrosssection inPb–Pb collisions isacommoninputforalloftheabovementionedmodels.Thereis sofarnomeasurementofthecc crosssectioninPb–Pb orpp col-lisionsat
√
sNN=
5.
02 TeVatmidrapidity, whichleaddominantlytotheuncertainty ofthemodels.The crosssectionin Pb–Pb col-lisions isobtainedfromthe totalcc crosssection inpp collisions d
σ
cc/
d y scaled by the average numberofnucleon–nucleoncolli-sions
Ncoll in a given centrality class of Pb–Pb collisions withadditionalCNM effectstakenintoaccount. Fortherapidity inter-valusedinthiswork,
|
y|
<
0.
9,thevalueofdσ
cc/
d y estimatedforMBPb–Pb collisionsis0
.
53±
0.
10 mbfortheSHM,0.
76±
0.
13 mb forTM1,0.
78±
0.
09 mbforTM2and0.
56±
0.
11 mbforCIM.The right panel of Fig. 3 shows a comparison of the inclu-siveJ
/ψ
transversemomentumspectruminthe20% mostcentral Pb–Pb collisions to calculations fromthe SHM and TM2models. The bands indicate model uncertainties mainly due to the as-sumptions on the dσ
cc/
d y. Good agreement between data andthe SHM predictions is observed inthe low-pT region, while for pT
5 GeV/
c the calculations underestimate the data. The TM2calculationsunderestimatethemeasuredyieldsoverthemeasured
pTrange.
In order to facilitate the comparison of the J
/ψ
pT spectraobtainedin thiswork withother measurements ortheory calcu-lations, the J
/ψ
pT andp2T are extracted inseveral centralityintervals, using the method described in Sec. 3. The left panel
of Fig. 4 shows the J
/ψ
pT dependence on the meannum-ber of participant nucleons
Npart. The pT in Pb–Pb collisionsat
√
sNN=
5.
02 TeV showsa monotonic decrease fromthe mostperipheral collisions, where it is compatibleto the measurement in pp collisions at
√
s=
5.
02 TeV,to the most central collisions, which hints towards a strong contribution from (re)combination processes.Thistrendisnotclearlyvisibleforthemeasurementat√
sNN
=
2.
76 TeV,whichsufferedfromlargestatisticalandsystem-aticuncertainties.
The rAA ratio, defined as
p2TPbPb/
p2Tpp, which is shown inthe right panel of Fig. 4, is a measure of the broadness of the
pT spectra in heavy-ioncollisions relative to pp collisionsat the
same energy. A strong decrease of the rAA is observed in Pb–Pb
collisionsat
√
sNN=
5.
02 TeVbetweenperipheral,whereitiscon-sistentwithunity,andcentralcollisionswhererAAreachesavalue
of0
.
6 atmidrapidityand0.
75 atforwardrapidity [53].When com-paringwithmeasurementsatlowerenergiesfromRHIC [11,55,56] and SPS [54], a very different picture emerges. While the RHIC measurements for both pTandrAA are compatiblewithacon-stant trend asa function of
Npart [25], the SPS resultsshow amonotonicincrease ofboth
pTandrAA asafunctionofcollisioncentralitywhich,atthisenergy,canbe explainedbyabroadening ofthepT distributionduetotheCronineffect [59].
Theresultsforthe
pTandrAA inPb–Pb collisionsat√
sNN=
5
.
02 TeVarecomparedwithmodelcalculationsinFig.5.The sta-tisticalhadronizationmodelagreeswiththedataonlyforthemost central collisions butunderestimates the measurements formoreFig. 6. Inclusive
J
/ψnuclear modification factor at midrapidity, integrated over pT, as a function of Npartin Pb–Pb collisions at √sNN=5.02 TeV compared with results at√s
NN=2.76 TeV [14] (left panel) and with calculations from the CIM [23], SHM [49], TM1 [58] and TM2 [25] models (right panel). The yields in the left panel are shown without the low-pTcut-off in order to be able to compare with the lower energy data which are obtained for pT>0. The calculations are shown as bands indicating the model uncertainties. Boxes around unity at Npart≈400 in both panels indicate the correlated uncertainty of the data points due to the cross section in pp collisions.
peripheralcollisions. Agooddescription ofthecentralitytrendis obtainedwiththetransportmodelTM1calculation,whichincludes adetailedimplementationofthefireballevolution,withthe excep-tionofmostcentralcollisionswherethemodeloverestimatesboth theJ
/ψ
pTandrAA.The pT-integratednuclear modificationfactorforinclusiveJ
/ψ
inPb–Pb collisionsat
√
sNN=
5.
02 TeVobtainedusingEquation3is shown in the left panel of Fig. 6 as a function of the mean number of participants and compared with a measurement at
√
sNN
=
2.
76 TeV [14]. The boxes shown around unity indicatethecorrelatedsystematicuncertaintiesandincludethe uncertain-tiesonthepp reference.Besidesthemostcentralcollisionswhere there is a hint of an increase of the RAA with collision energy,
theresults at thetwo energies are compatiblewithin uncertain-ties.Acomparisonoftheexperimentalresultsat
√
sNN=
5.
02 TeVwithcalculationsbasedon themodelsdescribed beforeisshown inthe rightpanel ofFig. 6.The calculationsare shownasbands thatindicatemodeluncertainties, dominatedbythe uncertainties on the cc cross section and on the CNM effects. The SHM cal-culation showsa good agreement with the data over the entire centralityrange.CIM,TM1andTM2calculationsunderestimatethe experimentalresultstowardsthedatapointscorrespondingtothe mostcentralcollisionsdespitethefactthat thetotalcc cross sec-tionassumedinTM1andTM2issignificantly largercomparedto theSHMandtheCIM.Thelargemodeluncertaintiesdonotallow a conclusion to be madeon the phenomenology of charmonium productionin nuclear collisions. This emphasizes the importance ofaprecisemeasurementofthetotalcc crosssection,butalsothe needofusingconsistentmodelinputs,includingthetotalcc cross section,thepp referenceJ
/ψ
crosssectionandCNMeffects.The inclusive J
/ψ
nuclear modification factor in Pb–Pb colli-sionsas afunction of pT is shownin theleft panel of Fig.7 forthecentrality intervals 0–20%, 20–40% and40–90%. The system-aticuncertainties shownasboxesaround thedatapoints include thesystematicuncertaintiesfromthePb–Pb analysiswhilethe un-certainties from the pp reference, correlated over centrality, are shownasthegray band aroundunity. The coloredboxes athigh
pT around unity indicate the correlated uncertainties due to the
TAAvaluesused forthe RAA calculation.Theseresultsarecom-patiblewithbinaryscalingforpT
<
3 GeV/
c,withtheexceptionofthedatapointaround2 GeV
/
c whichshowsadownward statisti-calfluctuation for40–90% centrality,while theJ/ψ
productionis suppressedathigher pT.Withthecurrentuncertainties itisdiffi-culttoextractacentralitytrendexceptforthehighestpTinterval,
5–10 GeV
/
c,whereastrongersuppressionisobservedinthemost central collisions relative to the moreperipheral centralityinter-vals at a significance level ofabout 3
σ
. The results for the 20% mostcentralcollisionsare comparedwithmodelcalculationsand shownintherightpanelofFig.7.Both theSHMandTM1models describequalitativelythedata.Inthesemodels,theincreasing RAAtowardslow pT isaconsequenceofthedominantcontributionof
(re)generated J
/ψ
.At high pT, the contribution fromrecombina-tiondecreases,andtheJ
/ψ
productionissuppressedduetocolor chargesinthemedium. ThemainJ/ψ
sourcesathigh pT arepri-mordialproductionandfeed-downfrombeautydecays.TheSHM, wheretheJ
/ψ
athigh pT are producedonlyinthecorona,over-estimatesthedegreeofJ
/ψ
suppression.Since thecharm quark density,i.e.thecc cross section, is ex-pectedto decreasetowardslargerrapidity,thecomparisonto the forward-rapiditymeasurementsisavaluablesourceofinformation. IntheleftpanelofFig.8,thepTdependenceoftheJ
/ψ
RAAinthe20%mostcentralPb–Pb collisionsatmidrapidityiscomparedwith theALICEresultsmeasuredatforwardrapidity(2
.
5<
y<
4) [29]. Theboxes aroundthedatapoints representsystematic uncertain-ties, while the boxes drawn around RAA=
1 show globaluncer-taintiesonthepp referenceduetouncertaintiesonthebeam lu-minosityand
TAA.Inthelow-pTrange(pT<
5 GeV/
c)thesedataindicatelargerRAAvaluesatmidrapiditycomparedtothoseat
for-wardrapidity,withacombinedstatisticalsignificanceofnearly4
σ
, compatible withexpectations froma (re)generation scenario due tothelargerprimordialcc densityatmidrapidity.Therapidity de-pendence ofthe inclusiveJ/ψ
suppression,integrated over pT, isshownintherightpanelofFig.8forthe0–90%centralityinterval. ThevalueoftheRAAatmidrapidityis0
.
97±
0.
05(
stat.)
±
0.
1(
syst.)
,and a monothonic decrease is observed towards forward rapid-ity [29,53].
6. Conclusions
ThemeasurementsoftheinclusiveJ
/ψ
yieldsandnuclear mod-ification factorsat midrapidity(|
y|
<
0.
9) were performedin the dielectron decay channel in Pb–Pb collisions at a center-of-mass energy√
sNN=
5.
02 TeVusing an integratedluminosityof Lint≈
10
μ
b−1 collected by the ALICE Collaboration. The results were presentedasa functionoftransversemomentumindifferent col-lisioncentralityclasses.The J
/ψ
transverse momentum dependent yields in central Pb–Pb collisions are well reproduced in the low pT range by anupdated SHM calculation [49] and underestimated for large pT.
TheTM2 [25] transportcalculationsunderestimatetheJ
/ψ
yields overtheentiremeasured pTrange.TheJ/ψ
pTandp2TshowaFig. 7. Inclusive
J
/ψ RAAat midrapidity in Pb–Pb collisions at √sNN=5.02 TeV as a function of pT for different centrality intervals (left) and compared with model calculations [49,58] for the centrality interval 0–20% (right).Fig. 8. Left:
Inclusive J
/ψ RAAin the 20% most central Pb–Pb collisions at √sNN=5.02 TeV as a function of pT, at midrapidity and at forward rapidity [29,53]. Right: Rapidity dependence of the inclusive J/ψ RAAin the centrality interval 0–90%. The error bars represent statistical uncertainties, while the boxes around the data points represent systematic uncertainties. The boxes around unity represent global uncertainties on the pp reference due to normalization and TAA. In the right panel, the correlated uncertainty of the point at midrapidity is included in the box around the data point.values observed inpp collisions, towards most central collisions. This centrality-dependentbehavior is qualitatively different com-paredtotheobservationsatlowerenergiesfromRHICandSPSand canbeexplainedthroughtheinterplaybetweenthe(re)generation process, dominantatlow pT for central eventsatthe LHC, color
screening,andCNMeffectslikegluonshadowing.Agood descrip-tion ofthe observed trends is providedby theTM1 calculations, whilethe SHM calculationsagree withthe dataforcentral colli-sionsonly.
The pT-integratednuclear modificationfactor asa function of
the number of participant nucleons shows a moderate level of suppressionin therange50
<
Npart<
300,andindicates anin-creasetowardscentralcollisions.Inthemostperipheralcollisions, ourresultsare compatiblewithbinaryscalingoftheJ
/ψ
produc-tion.Thenuclearmodificationfactorasafunctionofthetransverse momentumshowsastrongsuppression, centralitydependent,forpT
>
3 GeV/
c but is compatible with unity or with a smallen-hancementatsmall pT, suggestiveof thelarge contributionfrom
the(re)generationprocess.Furthermore,fromthesemeasurements weobservesignificantlylargervaluesforRAA comparedtothe
re-sultsatforwardrapidity [29] forboththe pT-integratedvaluesin
the0–90%centralityintervalandforthe pT-differentialRAAinthe
low pTregion(pT
<
5 GeV/
c)inthecentralityinterval0–20%.Consequently,theseresultsstrenghtenthehypothesisthat char-moniumatlow pTisproducedpredominantlyvia(re)generationin
thelatestagesofthecollisionattheLHC.However,duetothe re-mainingexperimentalandtheoreticaluncertainties,theexact
phe-nomenology leading to these observations cannot be determined yet.
Declarationofcompetinginterest
Theauthorsdeclarethattheyhavenoknowncompeting finan-cialinterestsorpersonalrelationshipsthatcouldhaveappearedto influencetheworkreportedinthispaper.
Acknowledgements
The ALICECollaboration would like to thank all its engineers andtechniciansfortheirinvaluablecontributionstothe construc-tion of the experiment and the CERN accelerator teams for the outstanding performance of the LHC complex. The ALICE Collab-oration gratefully acknowledges the resources and support pro-videdbyallGridcentresandtheWorldwideLHCComputingGrid (WLCG) collaboration. The ALICE Collaboration acknowledges the following fundingagenciesfortheir supportin buildingand run-ningtheALICEdetector:A.I.AlikhanyanNationalScience Labora-tory(YerevanPhysicsInstitute)Foundation (ANSL),State Commit-teeofScienceandWorldFederationofScientists(WFS),Armenia; Austrian Academy of Sciences, Austrian Science Fund (FWF): [M 2467-N36] and Nationalstiftung für Forschung, Technologie und Entwicklung,Austria;MinistryofCommunicationsandHigh Tech-nologies, National Nuclear Research Center, Azerbaijan; Conselho Nacional de Desenvolvimento Científico e Tecnológico(CNPq), Fi-nanciadora de Estudose Projetos (Finep),Fundação de Amparo à
France; Bundesministerium für Bildung und Forschung (BMBF) andGSIHelmholtzzentrumfürSchwerionenforschungGmbH, Ger-many;GeneralSecretariatforResearchandTechnology,Ministryof Education,Research andReligions,Greece; NationalResearch De-velopmentandInnovationOffice,Hungary;DepartmentofAtomic Energy, Government of India (DAE), Department of Science and Technology, Government of India (DST), University Grants Com-mission,GovernmentofIndia(UGC) andCouncil ofScientificand Industrial Research (CSIR), India; Indonesian Institute of Science, Indonesia;CentroFermi- MuseoStoricodellaFisicaeCentroStudi e Ricerche Enrico Fermi and Istituto Nazionale di Fisica Nucle-are (INFN),Italy; Institute forInnovativeScience andTechnology, Nagasaki Institute of Applied Science (IIST), Japanese Ministry of Education, Culture, Sports, Science and Technology (MEXT) and JapanSocietyforthePromotionofScience(JSPS)KAKENHI,Japan; Consejo Nacional de Ciencia (CONACYT) y Tecnología, through FondodeCooperaciónInternacionalenCienciayTecnología (FON-CICYT)andDirecciónGeneralde Asuntosdel PersonalAcademico (DGAPA),Mexico; Nederlandse OrganisatievoorWetenschappelijk Onderzoek(NWO),Netherlands; The ResearchCouncil ofNorway, Norway; Commission on Science and Technology for Sustainable Development in the South (COMSATS), Pakistan; Pontificia Uni-versidad Católicadel Perú, Peru; Ministry of Science and Higher EducationandNationalScience Centre,Poland;Korea Institute of ScienceandTechnology Information andNationalResearch Foun-dation of Korea (NRF), Republic of Korea; Ministry of Education andScientificResearch,InstituteofAtomicPhysicsandMinistryof ResearchandInnovationandInstituteofAtomicPhysics,Romania; Joint Institute for Nuclear Research (JINR), Ministry of Education andScience of the Russian Federation, National Research Centre KurchatovInstitute,RussianScienceFoundationandRussian Foun-dation forBasic Research, Russia; Ministry ofEducation, Science, ResearchandSportoftheSlovak Republic, Slovakia; National Re-searchFoundationofSouthAfrica,SouthAfrica; SwedishResearch Council (VR) and Knut & Alice Wallenberg Foundation (KAW), Sweden;EuropeanOrganizationforNuclearResearch,Switzerland; Suranaree University of Technology (SUT), National Science and TechnologyDevelopmentAgency(NSDTA)andOfficeoftheHigher Education Commission under NRU project of Thailand, Thailand; TurkishAtomic Energy Agency (TAEK),Turkey; NationalAcademy ofSciences ofUkraine,Ukraine; ScienceandTechnology Facilities Council (STFC), United Kingdom; National Science Foundation of theUnitedStatesofAmerica(NSF)andUnitedStatesDepartment of Energy, Office of Nuclear Physics (DOE NP), United States of America.
References
[1]A. Bazavov, et al., Equation of state and QCD transition at finite temperature, Phys. Rev. D 80 (2009) 014504.
[2]S. Borsanyi, Z. Fodor, C. Hoelbling, S.D. Katz, S. Krieg, K.K. Szabo, Full result for the QCD equation of state with 2+1 flavors, Phys. Lett. B 730 (2014) 99–104, arXiv:1309 .5258 [hep -lat].
[10]NA60 Collaboration, R. Arnaldi, et al., J/ψproduction in indium-indium
colli-sions at 158 GeV/nucleon, Phys. Rev. Lett. 99 (2007) 132302.
[11]PHENIX Collaboration, A. Adare, et al., J/ψproduction vs centrality, transverse
momentum, and rapidity in Au-Au collisions at √sNN=200 GeV, Phys. Rev.
Lett. 98 (2007) 232301, arXiv:nucl -ex /0611020 [nucl -ex].
[12]PHENIX Collaboration, A. Adare, et al., J/ψ suppression at forward rapidity in
Au-Au collisions at √sN N=200 GeV, Phys. Rev. C 84 (2011) 054912, arXiv:
1103 .6269 [nucl -ex].
[13]STAR Collaboration, L. Adamczyk, et al., J/ψproduction at low pTin Au-Au and
Cu-Cu collisions at √sNN=200 GeV with the STAR detector, Phys. Rev. C 90 (2)
(2014) 024906, arXiv:1310 .3563 [nucl -ex].
[14]ALICE Collaboration, B. Abelev, et al., Centrality, rapidity and transverse mo-mentum dependence of J/ψ suppression in Pb-Pb collisions at √sNN=
2.76 TeV, Phys. Lett. B 734 (2014) 314–327, arXiv:1311.0214 [nucl -ex]. [15]ALICE Collaboration, B. Abelev, et al., J/ψ suppression at forward rapidity in
Pb-Pb collisions at √sN N=2.76 TeV, Phys. Rev. Lett. 109 (2012) 072301, arXiv:
1202 .1383 [hep -ex].
[16]ALICE Collaboration, J. Adam, et al., Differential studies of inclusive J/ψ and ψ(2S) production at forward rapidity in Pb-Pb collisions at √sNN=2.76 TeV, J.
High Energy Phys. 05 (2016) 179, arXiv:1506 .08804 [nucl -ex].
[17]CMS Collaboration, A.M. Sirunyan, et al., Measurement of prompt D0meson
azimuthal anisotropy in Pb-Pb collisions at √sN N = 5.02 TeV, Phys. Rev. Lett.
120 (20) (2018) 202301, arXiv:1708 .03497 [nucl -ex].
[18]ALICE Collaboration, S. Acharya, et al., D-meson
azimuthal anisotropy in
mid-central Pb-Pb collisions at √sNN=5.02 TeV, Phys. Rev. Lett. 120 (10) (2018)
102301, arXiv:1707.01005 [nucl -ex].
[19]ALICE Collaboration, S. Acharya, et al., J/√ ψ elliptic flow in Pb-Pb collisions at
sNN=5.02 TeV, Phys. Rev. Lett. 119 (24) (2017) 242301, arXiv:1709 .05260
[nucl -ex].
[20]P. Braun-Munzinger, J. Stachel, (Non)thermal aspects of charmonium produc-tion and a new look at J/ψ suppression, Phys. Lett. B 490 (2000) 196–202,
arXiv:nucl -th /0007059 [nucl -th].
[21]A. Andronic, P. Braun-Munzinger, K. Redlich, J. Stachel, Evidence for charmo-nium generation at the phase boundary in ultra-relativistic nuclear collisions, Phys. Lett. B 652 (2007) 259–261, arXiv:nucl -th /0701079 [NUCL-TH].
[22]R.L. Thews, M. Schroedter, J. Rafelski, Enhanced J/ψproduction in deconfined
quark matter, Phys. Rev. C 63 (2001) 054905, arXiv:hep -ph /0007323 [hep -ph]. [23]E.G. Ferreiro, Charmonium dissociation and recombination at LHC: revisiting
comovers, Phys. Lett. B 731 (2014) 57–63, arXiv:1210 .3209 [hep -ph]. [24]X. Zhao, R. Rapp, Transverse momentum spectra of J/ψin heavy-ion collisions,
Phys. Lett. B 664 (2008) 253–257, arXiv:0712 .2407 [hep -ph].
[25]K. Zhou, N. Xu, Z. Xu, P. Zhuang, Medium effects on charmonium production at ultrarelativistic energies available at the CERN Large Hadron Collider, Phys. Rev. C 89 (5) (2014) 054911, arXiv:1401.5845 [nucl -th].
[26]N. Armesto, Nuclear shadowing, J. Phys. G 32 (2006) R367–R394, arXiv:hep -ph / 0604108 [hep -ph].
[27]ALICE Collaboration, S. Acharya, et al., Inclusive J/ψproduction at mid-rapidity
in pp collisions at √s =
5.02 TeV, J. High Energy Phys. 10 (2019) 084, arXiv:
1905 .07211 [nucl -ex].
[28]ALICE Collaboration, J. Adam, et al., Inclusive, prompt and non-prompt J/ψ pro-duction at mid-rapidity in Pb-Pb collisions at √sNN=2.76 TeV, J. High Energy
Phys. 07 (2015) 051, arXiv:1504 .07151 [nucl -ex].
[29]ALICE Collaboration, J. Adam, et al., J/ψsuppression at forward rapidity in
Pb-Pb collisions at √sNN=5.02 TeV, Phys. Lett. B 766 (2017) 212–224, arXiv:
1606 .08197 [nucl -ex].
[30]ATLAS Collaboration, M. Aaboud, et al., Prompt and non-prompt J/ψ and ψ(2S)suppression at high transverse momentum in 5.02 TeV Pb-Pb collisions
with the ATLAS experiment, arXiv:1805 .04077 [nucl -ex].
[31]CMS Collaboration, A.M. Sirunyan, et al., Measurement of prompt and non-prompt charmonium suppression in Pb–Pb collisions at 5.02 TeV, Eur. Phys. J. C (2017), arXiv:1712 .08959 [nucl -ex].
[32]ALICE Collaboration, S. Acharya, et al., Inclusive J/ψproduction in Xe–Xe
colli-sions at √sNN=5.44 TeV, Phys. Lett. B 785 (2018) 419–428, arXiv:1805 .04383
particle multiplicity density at midrapidity in Pb-Pb collisions at √sNN=5.02
TeV, Phys. Rev. Lett. 116 (22) (2016) 222302, arXiv:1512 .06104 [nucl -ex]. [40] ALICE Collaboration, Centrality determination in heavy ion collisions,
ALICE-PUBLIC-2018–011, http://cds .cern .ch /record /2636623, 2018.
[41]ALICE Collaboration, G. Puddu, et al., The zero degree calorimeters for the ALICE experiment, Nucl. Instrum. Methods Phys. Res., Sect. A 581 (2007) 397–401. [42]Particle Data Group Collaboration, C. Patrignani, et al., Review of particle
physics, Chin. Phys. C 40 (10) (2016) 100001.
[43]X.-N. Wang, M. Gyulassy, HIJING: a Monte Carlo model for multiple jet produc-tion in pp, pA and AA collisions, Phys. Rev. D 44 (1991) 3501–3516.
[44]P. Golonka, Z. Was, PHOTOS Monte Carlo: a precision tool for QED corrections in Z andW decays,
Eur. Phys. J. C 45 (2006) 97, arXiv:hep
-ph /0506026 [hep -ph].[45] R. Brun, F. Bruyant, M. Maire, A.C. McPherson, P. Zanarini, GEANT 3: User’s Guide Geant 3.10, Geant 3.11; rev. version, CERN, Geneva, 1987, https://cds . cern .ch /record /1119728.
[53]ALICE Collaboration, S. Acharya, et al., Studies of J/ψ production at forward
rapidity in Pb-Pb collisions at √sNN=5.02 TeV, arXiv:1909 .03158 [nucl -ex]. [54]NA50 Collaboration, M.C. Abreu, et al., Transverse momentum distributions of
J/ψ, ψ(2S), Drell-Yan and continuum dimuons produced in Pb–Pb interactions
at the SPS, Phys. Lett. B 499 (2001) 85–96.
[55]PHENIX Collaboration, A. Adare, et al., Ground and excited charmonium state production in p+p collisions
at
√s=200 GeV, Phys. Rev. D 85 (2012) 092004, arXiv:1105 .1966 [hep -ex].[56]PHENIX Collaboration, A. Adare, et al., J/ψ production in √sNN=200-GeV
Cu+Cu collisions, Phys. Rev. Lett. 101 (2008) 122301, arXiv:0801.0220 [nucl -ex]. [57]X. Zhao, R. Rapp, Medium modifications and production of charmonia at LHC,
Nucl. Phys. A 859 (2011) 114–125, arXiv:1102 .2194 [hep -ph].
[58]X. Du, R. Rapp, Sequential regeneration of charmonia in heavy-ion collisions, Nucl. Phys. A 943 (2015) 147–158, arXiv:1504 .00670 [hep -ph].
[59]J.W. Cronin, H.J. Frisch, M.J. Shochet, J.P. Boymond, R. Mermod, P.A. Piroue, R.L. Sumner, Production of hadrons with large transverse momentum at 200, 300, and 400 GeV, Phys. Rev. D 11 (1975) 3105–3123.s
ALICECollaboration