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https://www.sciencedirect.com/science/article/pii/S0370269316303914
DOI: 10.1016/j.physletb.2016.07.050
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©2016 by Elsevier. All rights reserved.
DIRETORIA DE TRATAMENTO DA INFORMAÇÃO
Cidade Universitária Zeferino Vaz Barão Geraldo
CEP 13083-970 – Campinas SP
Fone: (19) 3521-6493
http://www.repositorio.unicamp.br
Multiplicity
dependence
of
charged
pion,
kaon,
and
(anti)proton
production
at
large
transverse
momentum
in
p–Pb
collisions
at
√
s
NN
=
5
.
02 TeV
.
ALICE
Collaboration
a
r
t
i
c
l
e
i
n
f
o
a
b
s
t
r
a
c
t
Articlehistory: Received16January2016Receivedinrevisedform13July2016 Accepted20July2016
Availableonline22July2016 Editor:L.Rolandi
The productionofchargedpions,kaonsand(anti)protons hasbeenmeasuredatmid-rapidity(−0.5< y<0) inp–Pbcollisions at√sNN=5.02 TeV usingthe ALICEdetector atthe LHC. Exploitingparticle
identification capabilitiesathightransversemomentum(pT),thepreviouslypublished pTspectrahave
been extended toinclude measurements upto 20 GeV/c forseven event multiplicity classes.The pT
spectraforppcollisionsat√s=7 TeV,neededtointerpolateappreferencespectrum,havealsobeen extendedupto20 GeV/c tomeasurethenuclearmodificationfactor(RpPb)innon-singlediffractivep–Pb
collisions.
At intermediate transverse momentum (2<pT<10 GeV/c) the proton-to-pion ratio increases with
multiplicityinp–Pbcollisions,asimilareffectisnotpresentinthekaon-to-pionratio.ThepTdependent
structure ofsuchincreaseisqualitatively similar tothoseobserved inppandheavy-ion collisions.At high pT(>10 GeV/c),theparticleratiosareconsistentwiththosereportedforppandPb–Pbcollisions
attheLHCenergies.
AtintermediatepTthe(anti)protonRpPbshowsaCronin-likeenhancement,whilepionsandkaonsshow
littleornonuclearmodification.AthighpTthechargedpion,kaonand(anti)protonRpPb areconsistent
withunitywithinstatisticalandsystematicuncertainties.
©2016TheAuthor.PublishedbyElsevierB.V.ThisisanopenaccessarticleundertheCCBYlicense (http://creativecommons.org/licenses/by/4.0/).FundedbySCOAP3.
1. Introduction
In heavy-ion collisions at ultra-relativistic energies, it is well establishedthatastronglycoupledQuark–Gluon-Plasma(sQGP)is formed[1–5].Someofthecharacteristicfeatures ofthesQGPare strongcollectiveflowandopacitytojets.Thecollectivebehavioris observedbothasanazimuthalanisotropyofproducedparticles[6], wherethemagnitudeisdescribed byalmostideal(reversible) hy-drodynamics,andasahardeningofpTspectraforheavierhadrons,
such as protons,by radial flow [7].Jet quenchingis observed as a reduction of both high pT particles [8,9] and also fully
recon-structedjets[10].TheinterpretationofthesesQGP properties re-quirescomparisonswithreferencemeasurementslikeppandp–A collisions. Recentmeasurements in highmultiplicity pp,p–A and d–Acollisions atdifferentenergies haverevealedstrongflow-like effects even in these small systems [11–20]. The origin of these phenomenaisdebated[21–29]andthedatareportedhereprovide furtherinputstothisdiscussion.
E-mailaddress:alice-publications@cern.ch.
In a previous work, we reported the evidence ofradial flow-like patternsin p–Pbcollisions [30].Thiseffect was foundto in-crease with increasing event multiplicity and to be qualitatively consistent with calculationswhich incorporatethe hydrodynami-cal evolution of the system. It was also discussed that in small systems, mechanisms like color-reconnection mayproduce radial flow-like effects. Thepresent paperreportscomplementary mea-surements coveringtheintermediate pT region(2–10 GeV/c)and
thehigh-pTregion(10–20 GeV/c)exploitingthecapabilitiesofthe
High MomentumParticle IdentificationDetector(HMPID)andthe Time ProjectionChamber (TPC). Inthis way,highprecision mea-surementsare achievedintheintermediate pT regionwherecold
nuclear matter effects like the Cronin enhancement [31,32] have beenreportedbypreviousexperiments[33,34],andwherethe par-ticle ratios, e.g., the proton(kaon) production relative to that of pions,areaffectedbylargefinalstateeffectsincentralPb–Pb col-lisions[35].Particleratiosareexpectedtobemodifiedbyflow,but hydrodynamicsistypicallyexpectedtobeapplicableonlyup toa few GeV/c [36].Athigher pT,ideas suchaspartonrecombination
havebeenproposed leadingtobaryon–meson effects[37].Inthis waythenewdatasetcomplementsthelower pT results.
http://dx.doi.org/10.1016/j.physletb.2016.07.050
0370-2693/©2016TheAuthor.PublishedbyElsevierB.V.ThisisanopenaccessarticleundertheCCBYlicense(http://creativecommons.org/licenses/by/4.0/).Fundedby SCOAP3.
Inaddition,particleidentificationatlargetransversemomenta inp–Pbcollisions providesnewconstraintsonthenuclearparton distributionfunctions(nPDF) whicharekeyinputsininterpreting a large amount ofexperimental data like d–Au anddeep inelas-ticscattering [38]. Finally,the measurement is alsoimportant to studytheparticlespeciesdependencyofthenuclearmodification factor
(R
pPb)
,tobetterunderstandpartonenergylossmechanismsinheavy-ioncollisions.
In this paper, the charged pion, kaon and (anti)proton RpPb
are reportedfor non-singlediffractive (NSD) p–Pb collisions. The pp reference spectra for this measurement were obtained us-ing interpolations of data at different collision energies. The al-ready published pT spectra for inelastic (INEL) pp collisions at
√
s
=
7 TeV [39] were extended up to 20 GeV/c and the results are presented here for the first time. These measurements to-gether with the results for INEL pp collisions at√
2=
2.
76 TeV (pT<
20 GeV/c)
[35]wereusedtodetermineppreferencespectraat
√
s=
5.
02 TeV usingtheinterpolationmethoddescribedin[40]. Thepaperisorganized asfollows.InSec.2theALICEdetector aswellastheeventandtrackselectionsarediscussed.The analy-sisprocedures forparticleidentificationusingtheHMPIDandTPC detectorsareoutlinedinSec. 3andSec. 4,respectively.Section5 presentstheresultsanddiscussions.Finally,Sec.6summarizesthe mainresults.2. Datasample,eventandtrackselection
The results are obtained using data collected with the ALICE detectorduring the 2013 p–Pbrun at
√
sNN=
5.
02 TeV. Thede-taileddescription oftheALICEdetectorcanbe foundin [41] and the performance during run 1 (2009–2013) is described in [42]. Becauseofthe LHC 2-in-1 magnetdesign,it isimpossibleto ad-justtheenergy ofthe protonandlead-ionbeams independently. Theyare 4 TeV per Z which gives different energies due to the differentZ
/A of
thecollidingprotonsandleadions.Thenucleon– nucleoncenter-of-masssystemismoving inthelaboratory frame with a rapidity of yNN= −
0.
465 in the direction of the protonbeamrapidity.Inthefollowing, ylab(ηlab)areusedtoindicatethe
(pseudo)rapidityinthelaboratoryreferenceframe,whereas y (
η)
denotesthe (pseudo)rapidityin thecenter-of-massreference sys-temwherethePbbeamisassignedpositiverapidity.In the analysis of the p–Pb data, the event selection follows that used in the analysis of inclusive charged particle produc-tion[43].The minimumbias(MB)triggersignal wasprovided by theV0 counters[44],which contain two arraysof32 scintillator tileseach coveringthefullazimuthwithin 2
.
8<
η
lab<
5.
1 (V0A)and
−
3.
7<
η
lab<
−
1.
7 (V0C). The signal amplitude and arrivaltimecollectedineachtilewererecorded.Acoincidenceofsignals inboth V0Aand V0Cdetectors was required to remove contam-inationfrom single diffractiveand electromagneticevents.In the offlineanalysis,backgroundeventswerefurthersuppressedby re-quiring the arrival time of signals on the neutron Zero Degree CalorimeterA,whichispositionedinthePb-goingdirection,tobe compatiblewith a nominal p–Pbcollision occurringclose to the nominalinteractionpoint.Theestimatedmeannumberof interac-tionsper bunch crossingwas below1% inthe sample chosenfor thisanalysis.Duetotheweakcorrelationbetweencollision geom-etryandmultiplicity,theparticleproductioninp–Pbcollisions is studiedineventmultiplicityclassesinsteadofcentralities[45].The multiplicity classes are defined using the total charge deposited in the V0A detector as in [30], where V0A is positioned in the Pb-going direction. The MB results have been normalized to the totalnumberofNSDeventsusingatriggerandvertex reconstruc-tionefficiencycorrection whichamountsto3
.
6%±
3.
1% [46].The multiplicitydependentresultshavebeennormalizedtothevisibleTable 1
Transverse momentum ranges(GeV/c) covered bythe individual and combined analysesforppcollisionsat√s=7 TeV andp–Pbcollisionsat√sNN=5.02 TeV.
Analysis π++π− K++K− p+ ¯p pp Published[39]a 0.1–3.0 0.2–6.0 0.3–6.0 TPC dE/dx rel. rise 2–20 3–20 3–20 p–Pb Published[30]b 0.1–3.0 0.2–2.5 0.3–4.0 HMPID 1.5–4.0 1.5–4.0 1.5–6.0 TPC dE/dx rel. rise 2–20 3–20 3–20 a Includeddetectors:ITS,TPC,Time-of-Flight(TOF),HMPID.Theresultsalso in-cludethekink-topologyidentificationoftheweakdecaysofchargedkaons.
b Includeddetectors:ITS,TPC,TOF.
(triggered) cross-section correcting for the vertex reconstruction efficiency (this was not done in [30]). This correction is of the order of 5% for the lowest V0A multiplicity class (80–100%) and negligiblefortheothermultiplicityclasses(
<
1%).Inthe
√
s=
7 TeV ppanalysistheMB triggerrequireda hitin the two innermostlayers of the Inner TrackingSystem(ITS), the SiliconPixelDetector(SPD),orinatleastoneoftheV0 scintilla-torarraysincoincidence withthe arrivalofprotonbunchesfrom both directions.The offline analysisto eliminate backgroundwas done usingthetime informationprovidedby theV0 detectorsin correlationwiththenumberofclustersandtracklets1intheSPD.TracksarerequiredtobereconstructedinboththeITSandthe TPC.Additionaltrackselectioncriteriaarethesameasin[47]and basedonthe numberofspacepoints,thequality ofthetrackfit, and the distance of closest approach to the reconstructed colli-sionvertex. Chargedtracks wheretheidentityofthe particlehas changeddueto aweakdecay, e.g.,K−
→
μ
−+ ¯
ν
μ, areidentified bythetrackingalgorithmduetotheirdistinctkinktopologies[48] andrejectedinthisanalysis. Theremainingcontaminationis neg-ligible (1%). In order to have the same kinematic coverage as used in the p–Pb low pT analysis [30], the tracks were selectedin the pseudorapidity interval
−
0.
5<
η
<
0. In addition, for the HMPID analysisit isrequired that thetracks are propagated and matchedtoaprimaryionizationclusterintheMulti-Wire Propor-tionalChamber(MWPC)gapoftheHMPIDdetector[39,47].The published results of charged pion,kaon and(anti)proton production at low pT for pp [39] and p–Pb [30] collisions at
√
s
=
7 TeV and√
sNN=
5.
02 TeV,respectively,useddifferentPar-ticleIDentification (PID) detectorsandtechniques.A summary of the pT rangescoveredbythepublishedanalysesandtheanalyses
presentedinthispapercanbefoundinTable 1.
In the following, the analysis techniques used to obtain the identified particle pT spectra in the intermediate and high-pT
rangesusingHMPIDandTPCwillbediscussed. 3. HMPIDanalysis
TheHMPID detector[49]islocated about5 mfromthebeam axis, covering a limited acceptance of
|
η
lab|
<
0.
5 and 1.
2◦<
φ <
58.
5◦, that corresponds to∼
5% of the TPC geometricalac-ceptance (2π in azimuthal angle and the pseudo-rapidity inter-val
|
η
|
<
0.
9 [50]) for high pT tracks. The HMPID analysis uses∼
9×
107 minimum-bias p–Pb events at√
sNN=
5.
02 TeV. Theeventandtrackselectionandtheanalysistechniquearesimilarto thosedescribedin[39,47].Itisrequiredthattracksarepropagated andmatchedtoaprimaryionizationclusterintheMulti-Wire Pro-portionalChamber(MWPC)gapoftheHMPIDdetector.ThePIDin theHMPIDisdonebymeasuringtheCherenkovangle,
θ
Ch[49]:1 TrackletsarepairsofhitsfromthetwolayersoftheSPDwhichmakealine pointingbacktothecollisionvertex.
Fig. 1. (Coloronline.)CherenkovanglemeasuredintheHMPIDasafunctionofthe trackmomentuminp–Pbcollisionsat√sNN=5.02 TeV forthe0–5%V0A multiplic-ityclass(seethetextforfurtherdetails).Thedashedlinesrepresenttheexpected curvescalculatedusingEq.(1)foreachparticlespecies.
cos
θ
Ch=
1 nβ
=⇒ θ
Ch=
arccos p2+
m2 np,
(1)wheren istherefractive indexofthe radiatorused(liquid C6F14
withn
=
1.
29 atEph=
6.
68 eV andtemperatureT=
20◦C), p andm are the momentum and the mass of the given particle, re-spectively. The measurement of the single photon
θ
Ch angle intheHMPIDrequirestheknowledgeofthetrackparameters,which areestimatedbythetrackextrapolationfromthecentral tracking detectors up to the radiator volume, where the Cherenkov pho-tons are emitted. Only one charged particle cluster is associated to each extrapolatedtrack, selected as the closest cluster to the extrapolatedtrackpoint on thecathode plane. Toreject thefake cluster-matchassociations inthe detector,a selectionon the dis-tanced(track-MIP)computedonthecathodeplanebetweenthetrack
extrapolationpointandthereconstructedcharged-particle cluster position is applied. The distance has to be less than 5 cm, in-dependent oftrack momentum. Starting fromthe photon cluster coordinates on the photocathode, a back-tracking algorithm cal-culatesthe correspondingemissionangle.TheCherenkovphotons areselectedbytheHoughTransformMethod(HTM)[51]that dis-criminatesthe signal fromthe background.Foragiventrack, the Cherenkovangle
θ
Ch is then computed asthe weighted mean ofthe single photon angles selected by the HTM. Fig. 1 showsthe
θ
Ch asa function ofthe trackmomentum.The reconstructedan-gledistributionforagivenmomentuminterval isfittedbya sum ofthreeGaussiandistributions, correspondingto thesignalsfrom pions,kaons,andprotons.The fittingisdone intwosteps.Inthe firststeptheinitialvaluesoffitparametersaresettotheexpected values.Themeanvalues,
θ
Chi,are obtainedfromEq.(1),tuning
therefractiveindextomatchtheobservedCherenkovangles,and theresolutionvaluesare takenfromaMonteCarlosimulation of thedetectorresponse.Afterthisfirststep,the pT dependencesof
themeanandwidtharefittedwiththefunctiongivenby Eq.(1) anda polynomialone,respectively. Inthesecondstep,the fitting isrepeatedwiththeyieldsastheonlyfreeparameters, constrain-ingthemeanandresolutionvaluestothefittedvalue.Thesecond iteration is particularly important at high pT where the
separa-tionbetweendifferentspeciesisreduced.Fig. 2givesexamplesof fitstothereconstructedCherenkovangledistributionsintwo nar-rowpTintervalsforthe0–5%multiplicityclass.Therawyieldsare
then correctedby thetotal reconstructionefficiency givenbythe convolution of the tracking,PID efficiency, anddistance cut cor-rection. The tracking efficiency, convoluted with the geometrical
Fig. 2. (Color online.) Distributions of the Cherenkov angle measured in the HMPID for positivetracks having pT between2.5–2.6 GeV/c (left)and between 3.8–4.0 GeV/c (right),inp–Pbcollisionsat√sNN=5.02 TeV forthe0–5%V0A mul-tiplicityclass(seethetextforfurtherdetails).
acceptanceofthedetector,hasbeenevaluatedusingMonteCarlo simulations. Forall threeparticle speciesthisefficiencyincreases from
∼
5% at1.5 GeV/c upto∼
6%at high pT.The PIDefficiencyisdetermined bytheCherenkovanglereconstruction efficiency.It has been computedby means of Monte-Carlo simulations and it reaches
∼
90%forparticleswithvelocityβ
∼
1,withnosignificant difference betweenpositive andnegative tracks.The distancecut correction,definedastheratiobetweenthenumberofthetracks that pass thecut ond(track-MIP) andall thetracksin thedetectoracceptance, has been evaluated from data. It is momentum de-pendent,andit is equalto
∼
53% at1.5GeV/c, reaches∼
70%for particles withvelocityβ
∼
1.Asmalldifference betweenpositive and negative tracks is present; negative tracks having a distance correction∼
2%lower thanthepositiveones.Thiseffectiscaused by aradialresidualmisalignmentoftheHMPIDchambersandan imperfect estimation ofthe energyloss inthe materialtraversed by the track. Tracking efficiency, PID efficiency and distance cut correctiondonotshowvariationwiththeeventtrackmultiplicity. 3.1. SystematicuncertaintiesThesystematicuncertaintyontheresultsoftheHMPID analy-sishascontributionsfromtracking,PIDandtracksassociation[39, 47].Theuncertaintiesrelatedtothetrackinghavebeenestimated by changingthe trackselectioncutsindividually,e.g. thenumber of crossed readout rowsin the TPC and the value of the track’s
χ
2 normalizedtothenumberofTPCclusters.ToestimatethePIDcontribution,theparameters(meanandresolution)ofthefit func-tion used to extract the raw yields were varied by a reasonable quantity,leavingthemfreeinagivenrange;therangechosenfor the mean values is [
θ
Ch−
σ,
θ
Ch+
σ
] andfor the resolution[σ
−
0.
1σ,σ
+
0.
1σ].A variationof10% oftheresolution corre-sponds to its maximum expected variation when takinginto ac-countthedifferentrunningconditionsofthedetectorduringdata takingwhichhaveanimpactonitsperformance.Whenthemeans are changed,the resolution values are fixed to the defaultvalue andvice versa.The variation ofparameters isdone forthe three Gaussians(correspondingtothethreeparticlespecies) simultane-ously.Inaddition,theuncertaintyoftheassociationofthetrackto thechargedparticlesignalisobtainedbyvaryingthedefaultvalue ofthe distancecutrequiredforthematchby±
1 cm.These con-tributions do notvary withthecollision multiplicity.A summary ofthedifferentcontributionstothesystematicuncertaintyforthe HMPIDp–PbanalysisisshowninTable 2.4. TPCdE
/
dx relativisticriseanalysisThe relativistic rise regime of the specific energyloss, dE
/
dx, measuredbytheTPCallowsidentificationofchargedpions,kaons,Table 2
MainsourcesofsystematicuncertaintiesfortheHMPIDp–Pbanalysis. Effect π++π− K++K− p+ ¯p
pTvalue (GeV/c) 2.5 4 2.5 4 2.5 4
PID 6% 12% 6% 12% 4% 5%
Tracking efficiency 6% 6% 7% Distance cut correction 6% 2% 6% 2% 4% 2%
Fig. 3. (Coloronline.)Specificenergyloss,dE/dx,asafunctionofmomentump in
thepseudorapidityrange−0.5<η<−0.375 forminimumbiasp–Pbcollisions.In eachmomentumbinthedE/dx spectrahavebeennormalizedtohaveunitintegrals andonlybinswithmorethan2%ofthecountsareshown(makingelectronsnot visibleinthefigure,exceptatverylowmomentum).ThecurvesshowthedE/dx responseforpions,kaons,protonsandelectrons.
and(anti)protons up to pT
=
20 GeV/c.
The results presentedinthis paper were obtained using the method detailed in [47]. In thisanalysis, around 8
×
107 (4.
7×
107) p–Pb(pp) MB triggeredeventswere used.Theeventandtrackselection hasalreadybeen discussedinSection2.
Asdiscussedin[47],thedE
/
dx iscalibratedtakingintoaccount chambergainvariations,trackcurvatureanddiffusion,toobtaina response that essentially only dependsonβ
γ
. Inherently, tracks atforwardrapiditywillhavebetterresolutionduetolonger inte-gratedtrack-lengths,soinordertoanalyzehomogeneoussamples theanalysisisperformedinfourη
intervals.Samplesof topolog-icallyidentified pions (fromK0S decays),protons (fromdecays) andelectrons (from
γ
conversions)wereusedtoparametrizethe Bethe–Blochresponse, dE/
dx(β
γ
)
, andthe relative resolution,σ
dE/dx(
dE/
dx)
[47]. For the p–Pb data, these responsefunc-tionsarefoundtobeslightlymultiplicitydependent(the
dE/
dxchanges by
∼
0.4% and the sigma by∼
2.0%). However, a single setof functionsisused forall multiplicity intervals, andthe de-pendenceisincludedinthesystematicuncertainties.Fig. 3shows dE/
dx as afunction ofmomentumforp–Pb events.Thecharac-teristic separation power between particle species in number of standard deviations (Sσ ) as a function of p, is shown in Fig. 4 forminimumbiasp–Pbcollisions. Forexample, Sσ forpionsand kaonsiscalculatedas:
Sσ
=
dE dx π++π−−
dE dx K++K− 0.
5σ
π++π−+
σ
K++K−.
(2)Theseparationinnumberofstandarddeviationsisthe largest (smallest) betweenpions andprotons(kaonsandprotons)andit isnearlyconstantatlargemomenta.
Themainpartofthisanalysisisthedeterminationofthe rela-tive particleabundances,hereafter calledparticlefractions,which are definedasthe
π
++
π
−, K++
K−,p+ ¯
p and e++
e− yields normalized to that for inclusive charged particles. Since the TPC dE/
dx signalisGaussiandistributedasillustrated in[47],particle fractions are obtainedusingfour-Gaussian fits to dE/
dx distribu-tions inη
and p intervals.The parameters (mean and width) of thefits arefixed usingtheparametrizedBethe–Blochand resolu-tioncurvesmentioned earlier.Examplesofthesefitscan beseen in Fig. 5 for two momentum intervals, 3.
4<
p<
3.
6 GeV/c and
8<
p<
9 GeV/c.
Theparticlefractionsina pTrange,areobtainedastheweightedaverageofthecontributingp intervals.Since the particlefractionsasafunctionof pT arefoundtobe independent
of
η
,they are averaged. The particlefractions measured in p–Pb and pp collisions are corrected forrelative efficiency differences usingDPMJET[52] andPHOJET[53]MonteCarlo(MC) generators, respectively.Furthermore,therelativepionandprotonabundances werecorrectedforthecontaminationofsecondaryparticles (feed-down),moredetailsofthemethodcanbefoundin[47].Theinvariantyields,1
/(
2πpT)
d2N/d ydpT,areconstructedus-ingtwo components:thecorrectedparticlefractionsandthe cor-rected invariant charged particle yields. For the pp analysis at
√
s
=
7 TeV,thelattercomponentwastakendirectlyfromthe pub-lished results forinclusive chargedparticles [40].However, anal-ogous resultsfor p–Pb data are neither available for neither the kinematic range−
0.
5<
y<
0 nor for the different multiplicity classes [54], they were therefore measured here and the results usedtodeterminetheinvariantyields.4.1. Systematicuncertainties
Thesystematicuncertaintiesmainlyconsistoftwocomponents: thefirstisduetotheeventandtrackselection,andthesecondone isduetothePID.Thefirstcomponentwasobtainedfromthe anal-ysisofinclusivechargedparticles[40,54].ForINELppcollisionsat 7TeV,thesystematicuncertaintieshavebeentakenfrom[40].For p–Pb collisions, thereare no measurements in the
η
interval re-portedhere(−
0.
5<
η
<
0);however,it hasbeenshownthat the systematicuncertaintyexhibitsa negligibledependenceonη
and multiplicity [45].Therefore, thesystematic uncertainties reportedFig. 4. Separationinnumberofstandarddeviationsbetween:pionsandprotons(leftpanel),pionsandkaons(middlepanel),andkaonsandprotons(rightpanel).Resultsfor minimumbiasp–Pbdataandfortwospecificpseudorapidityintervalsareshown.Moredetailscanbefoundin[47].
Fig. 5. (Coloronline.)Four-Gaussianfits(lines)tothedE/dx spectra(markers)fortrackshavingmomentum3.4<p<3.6 GeV/c (toprow)and8.0<p<9.0 GeV/c (bottom
row)within−0.125<η<0.Allofthespectraarenormalizedtohaveunitintegrals.ColumnsrefertodifferentV0Amultiplicityclasses.Individualsignalsofchargedpions, kaons,and(anti)protonsareshownasred,green,andbluedashedareas,respectively.Thecontributionofelectronsisnotvisibleandisnegligible(<1%).
Table 3
Summaryofthesystematicuncertaintiesforthechargedpion,kaon,and(anti)protonspectraandfor theparticle ratios.NotethatK/π= (K++K−)/(π++π−)and p/π= (p+ ¯p)/(π++π−).
pT(GeV/c) π++π− K++K− p+ ¯p K/π p/π
2.0 10 3.0 10 3.0 10 3.0 10 3.0 10
pp collisions Uncertainty
Eventandtrackselectiona 7.3% 7.3% 7.3% – –
Feed-downcorrection 0.2% – 1.2% 0.2% 1.2%
Efficiencycorrection 3.2% 3.2% 3.2% 4.5% 4.5%
Correctionformuons 0.3% 0.5% – – 0.3% 0.5% 0.3% 0.5% ParametrizationofBethe–Bloch
andresolutioncurves
1.8% 1.9% 20% 6.9% 24% 15% 17% 9.0% 17% 19%
p–Pb collisions Uncertainty
Eventandtrackselectiona 3.3% 3.6% 3.3% 3.6% 3.3% 3.6% – –
Feed-downcorrection ≤0.2% – 2.6% 0.7% ≤0.2% 2.6% 0.7%
Efficiencycorrection 3.2% 3.2% 3.2% 4.5% 4.5%
Correctionformuonsb 0.3% 0.4% – – 0.3% 0.4% 0.3% 0.4%
ParametrizationofBethe–Bloch andresolutioncurves Multiplicity classes 0–5% 1.7% 1.9% 17% 8.0% 15% 13% 16% 10.4% 12% 11% 5–10% 1.7% 2.0% 17% 5.6% 16% 12% 18% 7.2% 14% 24% 10–20% 1.6% 1.9% 16% 7.2% 16% 12% 18% 9.5% 16% 15% 20–40% 1.6% 2.0% 16% 6.7% 17% 15% 18% 8.0% 17% 18% 40–60% 1.5% 1.9% 15% 6.5% 17% 12% 18% 8.3% 18% 13% 60–80% 1.6% 1.8% 16% 6.3% 20% 13% 21% 8.3% 22% 18% 80–100% 1.4% 1.5% 13% 5.9% 20% 13% 16% 7.3% 23% 21% a Commontoallspecies,valuestakenfrom[40,54].
b Foundtobemultiplicityindependent.
in [54] have been assigned to the identified charged hadron pT
spectraforalltheV0Amultiplicityclasses.
Thesecond componentwas measuredfollowingtheprocedure described in [47], where the largestcontribution is attributedto theuncertainties in theparameterization ofthe Bethe–Blochand resolutioncurvesusedtoconstrainthefits.Theuncertaintyis cal-culatedby varyingthe
dE/
dxand
σ
dE/dx intheparticlefractionfits(Fig. 5)withintheprecisionofthedE
/
dx responsecalibration,∼
1% and5%fordE/
dxand
σ
dE/dx,respectively.Asmallfractionofthisuncertaintywasfoundtobemultiplicitydependent,itwas estimatedasdoneinthepreviousALICEpublication[30].
A summary of the main systematic uncertainties on the pT
spectraand theparticle ratios forp–Pb andpp collisions can be
found inTable 3fortwo pT intervals. Forpions,themain
contri-bution is related toevent andtrackselection andthe associated commoncorrections. Inthe caseofkaonsandprotonsthelargest uncertainty isattributedto the parametrizationof thedE
/
dx re-sponse.Forkaons,theuncertaintydecreaseswithpT andincreaseswithmultiplicitywhileforprotonsthemultiplicitydependenceis opposite.Thisvariationmainlyreflectsthechangesintheparticle ratioswithpT andmultiplicity.
5. Resultsanddiscussions
The totalsystematicuncertaintyforallthe spectraforagiven particlespeciesisfactorizedforeach pT interval intoa
multiplic-Fig. 6. (Coloronline.)TheratioofindividualspectratothecombinedspectrumasafunctionofpTforpions(left),kaons(middle),andprotons(right).Fromtop-to-bottom therowsshowtheV0Amultiplicityclass0–5%,20–40%and60–80%.Statisticalanduncorrelatedsystematicuncertaintiesareshownasverticalerrorbarsanderrorbands, respectively.OnlythepTrangeswhereindividualanalysisoverlapareshown.Seethetextforfurtherdetails.
Fig. 7. (Coloronline.) Transversemomentumspectraofchargedpions(left),kaons(middle),and(anti)protons(right)measuredinp–Pbcollisionsat√sNN=5.02 TeV. Statisticalandsystematicuncertaintiesareplottedasverticalerrorbarsandboxes,respectively.Thespectra(measuredforNSDeventsandfordifferentV0Amultiplicity classes)havebeenscaledbytheindicatedfactorsinthelegendforbettervisibility.
ityindependentandmultiplicitydependentsystematicuncertainty. Thetransversemomentum distributionsobtainedfromthe differ-ent analyses are combined in the overlapping pT region using a
weightedaverage.The weightforthe combinationswasdone ac-cordingtothetotalsystematicuncertaintytoobtainthebest over-allprecision.Sincethesystematicuncertaintiesdueto normaliza-tionandtrackingarecommontoalltheanalyses,theywereadded directly to the final combined results. The statistical
uncertain-tiesaremuchsmallerandthereforeneglectedinthecombination weights.Themultiplicitydependentsystematicuncertaintyforthe combinedspectrais alsopropagated usingthesameweights. For theresults showninthispaperthe fullsystematicuncertainty is always used,butthemultiplicitycorrelated anduncorrelated sys-tematicuncertaintiesaremadeavailableatHepData.Fig. 6shows examples of the comparisons amongthe individual analyses and the combined pT spectra, focusingon the overlapping pT region.
Fig. 8. (Coloronline.)Transversemomentumspectraofchargedpions(left),kaons(middle),and(anti)protons(right)measuredinINELppcollisionsat√s=2.76 TeV andat
√
s=7 TeV.Statisticalandsystematicuncertaintiesareplottedasverticalerrorbarsandboxes,respectively.Thespectrumat√s=5.02 TeV representsthereferenceinINEL ppcollisions,constructedfrommeasuredspectraat√s=2.76 TeV andat√s=7 TeV.Seethetextforfurtherdetails.Panelsonthebottomshowtheratioofthemeasured yieldstotheinterpolatedspectra.Onlyuncertaintiesoftheinterpolatedspectraareshown.
Withinsystematicandstatisticaluncertaintiesthenewhigh-pT
re-sults, measured with HMPID and TPC, agree with the published results [30]. Similar agreement is obtained forthe pT spectra in
INELppcollisionsat7 TeV[39].
5.1. Transversemomentumspectraandnuclearmodificationfactor Thecombined chargedpion,kaonand(anti)proton pT spectra
inp–Pbcollisions fordifferentV0Amultiplicity classesare shown inFig. 7. Asreported in [30], for pT below2–3 GeV
/c the
spec-tra behave like in Pb–Pb collisions, i.e., the pT distributions
be-comeharder asthemultiplicity increasesandthechangeismost pronounced forprotons andlambdas. Inheavy-ion collisions this effectiscommonlyattributedtoradial flow. Forlargermomenta, thespectrafollowapower-lawshapeasexpectedfrom perturba-tiveQCD.
In order to quantify any particle species dependence of the nuclear effects in p–Pb collisions, comparisons to reference pT
spectrain pp collisions areneeded. In theabsence ofpp data at
√
s
=
5.
02 TeV,thereferencespectraareobtainedbyinterpolating datameasuredat√
s=
2.
76 TeV andat√
s=
7 TeV.Theinvariant crosssectionforidentifiedhadronproductioninINELppcollisions, 1/(
2πpT)
d2σ
ppINEL/
d ydpT, isinterpolated ineach pT interval,as-sumingapowerlawdependenceasafunctionof
√
s.Themethod was cross-checked using events simulated by Pythia 8.201 [55], wherethedifference betweentheinterpolated andthesimulated referencewas found tobe negligible.The maximum relative sys-tematicuncertaintyofthespectraat√
s=
2.
76 TeV and at√
s=
7 TeV hasbeenassignedasa systematicuncertainty tothe refer-ence.Inthetransversemomentuminterval3<
pT<
10 GeV/c,
thetotalsystematicuncertainties forpions andkaons arebelow8.6% and10%,respectively.Whilefor(anti)protonsitis7.7%and18%at 3 GeV/c and10 GeV/c,respectively.Theinvariant yieldsareshown inFig. 8,wheretheinterpolated pTspectraarecomparedtothose
measuredinINELppcollisionsat2.76TeVand7TeV. Thenuclearmodificationfactoristhenconstructedas:
RpPb
=
d2NpPb/
d ydpTTpPb d2
σ
INEL pp/
d ydpT (3)Fig. 9. (Coloronline.)Thenuclearmodificationfactor RpPbasafunctionof trans-verse momentum pT for differentparticle species.Thestatisticalandsystematic uncertainties areshownas verticalerror barsandboxes, respectively. Thetotal normalization uncertainty is indicated bya verticalscale ofthe empty boxat
pT=0 GeV/c and RpPb=1.Theresultforinclusivechargedhadrons[54]isalso shown.
where, for minimum bias (NSD) p–Pb collisions the average nu-clear overlap function,
TpPb
, is 0
.
0983±
0.
0035 mb−1 [43]. In absenceofnucleareffectstheRpPb isexpectedtobeone.Fig. 9 showsthe identified hadron RpPb compared to that for
inclusivechargedparticles (h±)[54] inNSDp–Pbevents.Athigh pT (
>
10 GeV/c),
all nuclear modification factors are consistentwithunity withinsystematicandstatisticaluncertainties. Around 4 GeV
/c,
where aprominent Croninenhancement hasbeen seen atlowerenergies[33,34],theunidentifiedchargedhadron RpPb isabove unity, albeitbarely significantwithin systematic uncertain-ties [54]. Remarkably, the (anti)proton enhancement is
∼
3 times largerthanthatforchargedparticles,whileforchargedpionsand kaons the enhancement is below that of charged particles. The STAR andPHENIXCollaborations have observeda similar pattern at RHIC,where thenuclear modification factorforMB d–Aucol-Fig. 10. (Coloronline.) Kaon-to-pion(upperpanel)andproton-to-pion(bottompanel)ratiosasafunctionofpT fordifferentV0Amultiplicityclasses.Resultsfor p–Pb collisions(fullmarkers)arecomparedtotheratiosmeasuredinINELpp collisionsat2.76TeV[35](emptycircles)andat 7TeV[39](fullcircles).Thestatisticaland systematicuncertaintiesareplottedasverticalerrorbarsandboxes,respectively.
lisions, RdAu, in the range 2
<
pT<
5 GeV/c,
is 1.
24±
0.
13 and1
.
49±
0.
17 forchargedpionsand(anti)protons,respectively[20]. Anenhancement of protons inthe same pT rangeis alsoob-served in heavy-ion collisions [35,47], whereit commonlyis in-terpretedasradial-flowandhasastrongcentralitydependence.In thenextsection, westudythemultiplicitydependenceofthe in-variantyield ratiostoseewhetherprotonsaremoreenhancedas afunctionofmultiplicitythanpions.
5.2.Transversemomentumandmultiplicitydependenceofparticle ratios
The kaon-to-pion andthe proton-to-pion ratios asa function of pT fordifferent V0Amultiplicity classes are shownin Fig. 10.
The results for p–Pb collisions are compared to those measured forINELpp collisions at2.76 TeV [35] andat7TeV [39]. Within systematicandstatisticaluncertainties,thepTdifferential
kaon-to-pionratiosdonot show anymultiplicitydependence.In fact,the
resultsaresimilartothoseforINELppcollisionsatbothenergies. The pT differentialproton-to-pionratiosshow aclearmultiplicity
evolution at low and intermediate pT (
<
10 GeV/c).
Thismulti-plicityevolutionisqualitativelysimilartothe centralityevolution observedinPb–Pbcollisions[35,47].
Itisworthnotingthattheaveragemultiplicitiesatmid-rapidity for peripheral Pb–Pb collisions (60–80%) and high multiplicity p–Pb collisions (0–5% V0A multiplicity class) are very similar,
dNch/
dη∼
50.Evenifthephysicalmechanismsforparticlepro-duction could bedifferent, it seems interesting tocompare these systemswithsimilarunderlyingactivityasdoneinFig. 11,where INEL
√
s=
7 TeV ppresultsareincludedasanapproximate base-line. Withinsystematic andstatistical uncertainties, the kaon-to-pion ratiosare the same forall systems. Onthe other hand,the proton-to-pionratiosexhibitsimilarflow-likefeaturesforthep–Pb andPb–Pb systems,namely,the ratiosare belowthepp baseline for pT<
1 GeV/c and
above for pT>
1.
5 GeV/c.
QuantitativeFig. 11. (Coloronline.)Particleratiosasafunctionoftransversemomentum.Three differentcollidingsystemsarecompared,pp(opensquares),0–5%p–Pb(open cir-cles)and60–80%Pb–Pb(fulldiamonds)collisionsat√sNN=7 TeV,5.02TeVand 2.76TeV,respectively.
Fig. 12. (Coloronline.)ParticleratiosasafunctionofdNch/dη ineachV0A mul-tiplicityclass(see[30]formoredetails).Threedifferentcollidingsystemsare com-pared:pp,p–PbandperipheralPb–Pbcollisions.
canbeattributedtothedifferencesintheinitialstateoverlap ge-ometryandthebeamenergy.
Theresultsfortheparticleratiossuggestthat themodification ofthe(anti)protonspectralshapegoingfrompptop–Pbcollisions couldplaythedominantroleintheCroninenhancementobserved forinclusivechargedparticleRpPbatLHCenergies.Toconfirmthis
picture one would have to studythe nuclear modificationfactor asa functionof multiplicity aswe didin [45], where,the possi-blebiasesintheevaluationofthemultiplicity-dependentaverage nuclearoverlap function
TpPb
werediscussed. Theseresultswill becomeavailableinthefuture.
InFig. 12wecomparetheparticleratiosathighpT(10
<
pT<
20 GeV
/c)
measured inINEL√
s=
7 TeV pp collisions,peripheral Pb–Pb collisions and the multiplicity dependent results in p–Pb collisions.Withinstatisticalandsystematicuncertainties,theratios donotshowanyevolutionwithmultiplicity.Moreover,sinceithas beenalreadyreportedthat inPb–Pb collisionsthey are centrality independent[47]we concludethatthey aresystem-size indepen-dent.The strongsimilarity ofparticle ratios asa function of multi-plicityinp–PbandcentralityinPb–Pbcollisionsinthelow, inter-mediate,andhigh-pTregionsisstriking.Ingeneral,theresultsfor
p–Pbcollisions appeartoraise questionsaboutthelong standing ideas ofspecificphysics modelsforsmallandlarge systems[56]. For example, in the low pT publication [30], hydrodynamic
in-spired fits gave higher transverse expansion velocities (
β
T) for
p–PbthanforPb–Pbcollisions.Hydrodynamics,whichsuccessfully describesmanyfeatures ofheavy-ioncollisions, hasbeenapplied tosmall systemsandcan explain thiseffect [21],but careneeds to be taken since its applicability to small systemsis still under debate [56]. On the other hand, models like color reconnection, wherethesoftandhardcomponentsareallowed tointeract,
pro-showconstituentquarkscalinginp–Pbcollisions [60]. 6. Conclusions
We havereportedon thechargedpion, kaonand(anti)proton productionuptolargetransversemomenta(pT
≤
20 GeV/c)
inp–Pb collisions at
√
sNN=
5.
02 TeV. The pT spectra in√
s=
7 TeVppcollisionswerealsomeasuredupto20 GeV
/c to
allowthe de-terminationofthe√
s=
5.
02 TeV ppreferencecrosssectionusing theexistingdataat2.76 TeVandat7 TeV.At intermediate pT (2
<
pT<
10 GeV/c),
the(anti)proton RpPbfor non-singlediffractivep–Pb collisions was found tobe signifi-cantlylarger than thoseforpions andkaons, inparticularin the region where the Cronin peak was observed by experiments at lowerenergies.Hence,themodestenhancementwhichwealready reportedforunidentifiedchargedparticlescanbeattributedtothe modification ofthe protonspectral shape going fromppto p–Pb collisions. Athigh pT thenuclearmodificationfactorsforcharged
pions, kaons and (anti)protons are consistent with unity within systematicandstatisticaluncertainties.
Theenhancement ofprotonswithrespecttopionsat interme-diate pT showsastrongmultiplicitydependence.Thisbehavioris
not observed for the kaon-to-pion ratio. At high transverse mo-menta (10
<
pT<
20 GeV/c)
the pT integratedparticleratios aresystem-size independent for pp, p–Pb and Pb–Pb collisions. For a similar multiplicity at mid-rapidity, the pT-differential particle
ratios are alike for p–Pb andPb–Pb collisions over the broad pT
rangereportedinthispaper. Acknowledgements
The ALICECollaboration would like to thank all its engineers andtechniciansfortheirinvaluablecontributionstothe construc-tion ofperformanceofthe LHCcomplex.TheALICECollaboration gratefully acknowledges the resources and support provided by all Grid centresandthe WorldwideLHC ComputingGrid (WLCG) collaboration. The ALICE Collaboration acknowledges the follow-ing funding agencies for their support in building and running the ALICEdetector:State CommitteeofScience,WorldFederation of Scientists (WFS)and Swiss Fonds Kidagan, Armenia; Conselho Nacional de Desenvolvimento Científico e Tecnológico(CNPq), Fi-nanciadora de Estudose Projetos(FINEP),Fundaçãode Amparoà Pesquisa do Estado de São Paulo (FAPESP); National Natural Sci-ence Foundation of China (NSFC), the Ministry of Education of the People’s Republic of China (CMOE) and the Ministry of Sci-ence and Technology of the People’s Republic of China (MSTC); Ministry of Education, Youth and Sports of the Czech Republic; Danish Natural Science Research Council, the Carlsberg Founda-tion andtheDanish NationalResearchFoundation;The European ResearchCouncilundertheEuropeanCommunity’sSeventh Frame-work Programme; Helsinki Institute of Physics and the Academy of Finland; French CNRS–IN2P3, the ‘Region Pays de Loire’, ‘Re-gion Alsace’, ‘Region Auvergne’ and CEA, France; German Bun-desministerium fur Bildung, Wissenschaft, Forschung und
Tech-nologie(BMBF)andtheHelmholtzAssociation;GeneralSecretariat for Research and Technology, Ministry of Development, Greece; National Research, Development and Innovation Office (NKFIH), Hungary;DepartmentofAtomic Energy,GovernmentofIndia and DepartmentofScience andTechnology of theGovernment of In-dia;InstitutoNazionalediFisicaNucleare (INFN)andCentroFermi – Museo Storico della Fisica e Centro Studi e Ricerche “Enrico Fermi”, Italy; Japan Society for the Promotion of Science (JSPS) KAKENHI and MEXT, Japan; Joint Institute for Nuclear Research, Dubna;NationalResearchFoundation ofKorea(NRF);Consejo Na-cional de Ciencia y Tecnología (CONACYT), Direccion General de AsuntosdelPersonalAcademico(DGAPA),México,AmeriqueLatine Formationacademique–EuropeanCommission(ALFA-EC)andthe EPLANETProgram (EuropeanParticle PhysicsLatin American Net-work);StichtingvoorFundamenteelOnderzoekderMaterie(FOM) andtheNederlandseOrganisatievoorWetenschappelijkOnderzoek (NWO),Netherlands; ResearchCouncil ofNorway (NFR);National Science Centre, Poland; Ministry of National Education/Institute forAtomic Physics andNational Council ofScientific Researchin Higher Education (CNCSI-UEFISCDI), Romania; Ministry of Educa-tion and Science of the Russian Federation, Russian Academy of Sciences, Russian Federal Agency of Atomic Energy, Russian Fed-eralAgency for Science andInnovation and the Russian Founda-tionforBasicResearch;MinistryofEducationofSlovakia; Depart-mentofScienceandTechnology,RepublicofSouthAfrica;Centro de Investigaciones Energeticas, Medioambientales y Tecnologicas (CIEMAT),E-InfrastructuresharedbetweenEuropeandLatin Amer-ica(EELA),Ministeriode EconomíayCompetitividad(MINECO)of Spain,XuntadeGalicia(ConselleríadeEducación),Centrode Apli-cacionesTecnológicasyDesarrolloNuclear(CEADEN),Cubaenergía, Cuba,andIAEA(InternationalAtomicEnergyAgency);Swedish Re-search Council (VR) and Knut and Alice Wallenberg Foundation (KAW);MinistryofEducationandScienceofUkraine;United King-domScienceandTechnologyFacilitiesCouncil(STFC);TheU.S. De-partmentofEnergy,theUnitedStatesNationalScienceFoundation, theStateofTexas,andtheStateofOhio; MinistryofScience, Ed-ucationandSportsofCroatiaandUnitythroughKnowledgeFund, Croatia; Council of Scientific andIndustrial Research (CSIR), New Delhi,India;PontificiaUniversidadCatólicadelPerú.
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