Production of \({\Sigma (1385)^{\pm }}\) and \({\Xi (1530)^{0}}\) in p–Pb collisions at \({\sqrt{s_{\mathrm{NN}}}= 5.02}\) TeV

The European Physical Journal C, Jun 2017

The transverse momentum distributions of the strange and double-strange hyperon resonances (\(\Sigma (1385)^{\pm }\), \(\Xi (1530)^{0}\)) produced in p–Pb collisions at \(\sqrt{s_{\mathrm{NN}}}= 5.02\) TeV were measured in the rapidity range \(-0.5< y_\mathrm {CMS}<0\) for event classes corresponding to different charged-particle multiplicity densities, \(\langle \)d\(N_{\mathrm{ch}}\)/d\(\eta _{\mathrm{lab}}\rangle \). The mean transverse momentum values are presented as a function of \(\langle \)d\(N_{\mathrm{ch}}\)/d\(\eta _{\mathrm{lab}}\rangle \), as well as a function of the particle masses and compared with previous results on hyperon production. The integrated yield ratios of excited to ground-state hyperons are constant as a function of \(\langle \)d\(N_{\mathrm{ch}}\)/d\(\eta _{\mathrm{lab}}\rangle \). The equivalent ratios to pions exhibit an increase with \(\langle \)d\(N_{\mathrm{ch}}\)/d\(\eta _{\mathrm{lab}}\rangle \), depending on their strangeness content.

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Production of \({\Sigma (1385)^{\pm }}\) and \({\Xi (1530)^{0}}\) in p–Pb collisions at \({\sqrt{s_{\mathrm{NN}}}= 5.02}\) TeV

Eur. Phys. J. C Production of (1385)± and at √sNN = 5.02 TeV ALICE Collaboration 0 0 CERN , 1211 Geneva 23 , Switzerland 1 Also at: M.V. Lomonosov Moscow State University, D.V. Skobeltsyn Institute of Nuclear , Physics, Moscow , Russia 2 Also at: Georgia State University , Atlanta, Georgia , United States 3 Also at: Also at Department of Applied Physics, Aligarh Muslim University , Aligarh , India The transverse momentum distributions of the strange and double-strange hyperon resonances ( (1385)±, (1530)0) produced in p-Pb collisions at √sNN = 5.02 TeV were measured in the rapidity range −0.5 < yCMS < 0 for event classes corresponding to different charged-particle multiplicity densities, dNch/dηlab . The mean transverse momentum values are presented as a function of dNch/dηlab , as well as a function of the particle masses and compared with previous results on hyperon production. The integrated yield ratios of excited to ground-state hyperons are constant as a function of dNch/dηlab . The equivalent ratios to pions exhibit an increase with dNch/dηlab , depending on their strangeness content. 1 Introduction Hadrons containing one or more strange quarks have been studied extensively over past decades in connection with the study of quark-gluon plasma [ 1,2 ]. Enhanced hyperon yields were observed in heavy-ion collisions with respect to those measured in proton-proton (pp) collisions at the same centreof-mass energy [ 3–6 ]. These enhancements were found to be consistent with those expected from thermal statistical model calculations using a grand canonical ensemble [ 7 ]. The canonical [ 8,9 ] approach is suggested to explain the relatively suppressed multi-strange baryon yields in smaller collision systems such as pp, proton-nucleus (p–Pb) and peripheral heavy-ion collisions [10]. Short-lived resonances, such as K∗0 and (1385)±, can be used in heavy-ion collisions to study the hadronic medium between chemical and kinetic freeze-out [ 11 ]. Chemical and kinetic freeze-out define the points in time, respectively, when hadron abundances and the momenta of particles stop changing. Decay products of resonances are subject to rescattering processes and emerge after kinetic decoupling with little memory of the source. Regeneration processes, conversely, increase the resonance yield [ 12 ]. If re-scattering processes are dominant over regeneration processes, the measured yield of resonances is expected to be reduced. Moreover, the longer the time between chemical and kinetic freezeout, the greater the expected reduction. Recently, the ALICE collaboration reported results on K∗0, φ, − and − in pp and p–Pb collisions [ 10,13,14 ] in addition to Pb–Pb data [ 6,15 ]. The evolution of the mean transverse momenta ( pT ) of mesons and multi-strange baryons were presented as a function of charged-particle multiplicity and particle mass. The observed decrease of the resonance to ground-state ratio K∗0/K− has been suggested as an indication of re-scattering processes in the hadronic medium, as first observed in Pb–Pb collisions [15]. This paper reports on the hyperon resonances (1385)± (cτ = 5.48 fm, uus or dds [ 16 ]) and (1530)0 (cτ = 22 fm, uss [ 16 ]), measured in p–Pb collisions at √sNN = 5.02 TeV. The corresponding results for pp collisions have been previously published in [ 17 ]. The results presented in this paper complement the p–Pb results given in [ 10,14 ]. The measured pT spectra, yields and mean transverse momenta are presented for different multiplicity classes. Yield ratios of excited to ground-state hyperons are studied as a function of event multiplicity and compared with model predictions [ 7,18–20 ]. Considering the similar lifetimes of (1385)± and K∗0, a decrease of the (1385)±/ ratio, consistent with the decrease observed for the K∗0/K− ratio, is expected for increasing system sizes. Hyperon to pion ratios are also presented and compared to the results for groundstate hyperons with the same strangeness contents. In this paper, the short notations ∗± and ∗0 are adopted for (1385)± and (1530)0. Moreover, the notations ∗± and ∗0 include the respective anti-particles, namely ∗± includes ∗+, ∗−, and their anti-particles, while ∗0 means ∗0 and ∗0, unless otherwise indicated. 2 Experimental setup and event selection A description of the ALICE detector and of its performance during the LHC Run 1 (2010–2013) can be found in [ 21, 22 ]. The data sample analysed in this paper was recorded during the LHC p–Pb run at √sNN = 5.02 TeV in 2013. Due to the asymmetric energies of the proton (4 TeV) and lead ion (1.57 A TeV) beams, the centre-of-mass system in the nucleon-nucleon frame is shifted in rapidity by yNN = 0.465 towards the direction of the proton beam with respect to the laboratory frame of the ALICE detector [14]. For the analysed p–Pb data set, the direction of the proton beam was towards the ALICE muon spectrometer, the so-called “C” side, standing for negative rapidities; conversely, the Pb beam circulated towards positive rapidities, labelled as “A” side in the following. The analysis in this paper was carried out at midrapidity, in the rapidity window −0.5 < yCMS < 0. The minimum-bias trigger during the p–Pb run was configured to select events by requiring a logical OR of signals in V0A and V0C [ 22 ], two arrays of 32 scintillator detectors covering the full azimuthal angle in the pseudorapidity regions 2.8 < ηlab < 5.1 and −3.7 < ηlab < −1.7, respectively [ 23 ]. In the data analysis it was required to have a coincidence of signals in both V0A and V0C in order to reduce the contamination from single-diffractive and electromagnetic interactions. This left only non-single diffractive (NSD) events, which amount for a total of 100 million events, in the minimum-bias (MB) sample corresponding to an integrated luminosity of about 50 µb−1. The combined V0A and V0C information discriminates beam-beam interactions from background collisions in the interaction region. Further background suppression was applied in the offline analysis using time information from two neutron zero degree calorimeters (ZDC) [ 22 ], as in previous p–Pb analyses [ 24 ]. Pile-up events due to more than one collision in the region of beam interaction were excluded by using the silicon pixel detector (SPD) in the inner tracking system (ITS) [ 22 ]. The primary vertex (PV) is determined by tracks reconstructed in the ITS and time projection chamber (TPC), and track segments in the SPD [ 22,23 ]. MB events are selected when the PV is positioned along the beam axis within ±10 cm from the centre of the ALICE detector. The MB events were divided into several multiplicity classes according to the accumulated charge in the forward V0A detector [ 25 ]. The ∗± resonances are reconstructed in the multiplicity classes 0–20, 20–60, and 60–100%, whereas the ∗0 analysis is carried out in four classes, namely 0–20, 20–40, 40–60 and 60–100%. To each multiplicity class corresponds a mean charged-particle multiplicity ( dNch/dηlab ), measured at midrapidity (|ηlab| < 0.5), as shown in Table 1. 3 Data analysis 3.1 Track and topological selections Table 2 summarizes the relevant information on the measured hyperon resonances, namely the decay modes used in this analysis and their branching ratios. In the case of ∗±, all states ∗+, ∗−, ∗− and ∗+ were separately analysed, while the ∗0 analysis always includes the chargeconjugated anti-particle, ∗0 due to the limited statistics of the dataset. In comparison with the ∗± and ∗0 analysis carried out in pp collisions at √s = 7 TeV [ 17 ], track and topological selections were revised and adapted to the p–Pb dataset; this is notably the case for ∗0. Pions from strong decays of both ∗± and ∗0 were selected according to the criteria for primary tracks. As summarized in Table 3, all charged tracks were selected with pT > 0.15 GeV/c and |ηlab| < 0.8, as described in Ref. [ 22 ]. The primary tracks were chosen with the distance of closest approach (DCA) to PV of less than 2 cm along the longitudinal direction (DCAz ) and lower than 7σr in the transverse plane (DCAr ), where σr is the resolution of DCAr . The σr is strongly pT-dependent and lower than 100 µm for pT > 0.5 GeV/c [ 22 ]. To ensure a good track reconstruction quality, candidate tracks were required to have at least one hit in one of the two innermost layers |M π − m | |ηlab| pT PID |(dE/dx)−(dE/dx)exp| DCAz to PV DCAr to PV number of SPD points number of TPC points ∗± <0.8 >0.15 GeV/c <3 σTPC <2 cm <7 σr ( pT) (SPD) of the ITS and to have at least 70 reconstructed points in the TPC, out of a maximum of 159. The particle identification (PID) criteria for all decay daughters are based on the requirement that the specific energy loss (dE /dx ) is measured in the TPC within three standard deviations (σTPC) from the expected value (dE /dxexp), computed using a Bethe–Bloch parametrization [ 22 ]. Since pions and protons from weak decay of (cτ = 7.89 cm [ 16 ]) and pions from weak decay of − (cτ = 4.91 cm [ 16 ]) are produced away from the PV, specific topological and track selection criteria, as summarized in Table 4, were applied [ 10,17,26 ]. In the analysis of ∗±, secondary π and p from decays were selected with a DCA between the two tracks of less than 1.6 cm and with a DCAr to the PV greater than 0.05 cm, to remove most primary tracks. For ∗− and ∗+, the DCA of to the PV must be smaller than 0.3 cm in order to remove most of the primary weaklydecaying (1321)− and (1321)+, which share the same decay channel. The invariant mass (M pπ ) was selected within ± 10 MeV/c2 of the particle data group (PDG) value (m = 1115.683 ± 0.006 MeV/c2) [ 16 ], the cosine of the pointing angle θ (the angle between the sum of daughter momenta and the line that connects the PV and the decay vertex, as shown in Fig. 1) was requested to be greater than 0.99, and the radius of the fiducial volume r ( ) (the distance between the PV and the decay vertex) was requested to be between 1.4 and 100 cm. 01.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2 M Λπ+ (GeV/c2) 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2 M Λπ+ (GeV/c2) Fig. 2 (Left) the π + invariant mass distribution (same-event pairs) in 2.0 < pT < 2.5 GeV/c and for the multiplicity class 20–60%. The background shape, using pairs from different events (mixed-event background), is normalised to the counts in 1.9 < M π < 2.0 GeV/c2. (Right) the invariant mass distribution after subtraction of the mixedevent background. The solid curve represents the combined fit, while the dashed line describes the residual background 0.1 0 1 0 2/)c 4 ×1A0L3ICE, p-Pb, sNN = 5.02 TeV (20-60%) eVM 3 -0.5 < yCMS < 0, 2.0 < pT < 2.5 GeV/c Σ*+→Λπ+ 8 /( s tn 2 u o C Mixed-event subtracted Residual background Combined fit 2) 0.5 ×103 /c ALICE, p-Pb, sNN = 5.02 TeV (20-40%) eV0.4 -0.5 < yCMS < 0, 1.8 < pT < 2.2 GeV/c t/(snou2CM00..23 ΞRCM*eoi0xsm(eiΞddbu-*inea0ev)ldeb→nafitctskΞugbr-πotru+an(cΞdte+dπ-) Fig. 3 (Left) the ∓π ± invariant mass distribution (same-event pairs) in 1.8 < pT < 2.2 GeV/c and for the multiplicity class 20–40%. The background shape, using pairs from different events (mixed-event background), is normalised to the counts in 1.49 < M π < 1.51 GeV/c2 and 1.56 < M π < 1.58 GeV/c2. (Right) the invariant mass distribution after subtraction of the mixedevent background. The solid curve represents the combined fit, while the dashed line describes the residual background In the analysis of ∗0, and π from − were selected with a DCA of less than 1.9 cm and with a DCAr to the PV greater than 0.015 cm. The daughter particles (π and p) were required to have a DCAr to the PV greater than 0.06 cm, while the DCA between the two particles was required to be less than 1.4 cm. Cuts on the invariant mass, the cosine of the pointing angle (θ , θ ) and the radius of the fiducial volume (r ( ), r ( )) in Table 4 were applied to optimize the balance of purity and efficiency of each particle sample. 3.2 Signal extraction The ∗± and ∗0 signals were reconstructed by invariantmass analysis of candidates for the decay products in each transverse momentum interval of the resonance particle, and for each multiplicity class. Examples of invariant-mass distributions are presented in the left panels of Figs. 2 and 3 for ∗+ → π + and −π +( +π −), respectively.1 Since the resonance decay products originate from a position which is indistinguishable from the PV, a significant combinatorial background is present. These background distributions were determined by means of a mixed-event technique, by combining uncorrelated decay products from 5 and 20 different events in the ∗± and ∗0 analyses, respectively. In order to minimise distortions due to different acceptances and to ensure a similar event structure, only tracks from events with similar vertex positions z (| z| < 1 cm) and track multiplicities n (| n| < 10) were taken. For ∗±, the mixed-event background distributions were normalised to a pT-dependent invariant mass region where the mixed-event background and the invariant mass dis1 Similarly to what has been observed in the pp analysis [ 17 ], the distributions of ∗− ( ∗+), not shown in this paper, have an additional peak at ∼1.321 GeV/c2, as narrow as ∼3 MeV/c2, due to the residual (1321)− ( (1321)+), escaping the filter on the DCA of to PV mentioned above. tribution have similar slopes, as shown in Fig. 2 (left). These pT-dependent invariant mass regions range from 1.5 < M π < 2.0 GeV/c2, for the lowest pT bin, to 1.95 < M π < 2.0 GeV/c2, for the highest pT bin. More details on the normalisation procedure are provided in Ref. [ 17 ]. The contribution of the normalisation to the systematic uncertainty was estimated by selecting different normalisation regions and accounts for less than 1%. For ∗0, the mixed-event background distributions were normalised to two fixed regions, 1.49 < M π < 1.51 GeV/c2 and 1.56< M π < 1.58 GeV/c2, around the ∗0 mass peak (Fig. 3 (left)). These regions were used for all pT intervals and multiplicity classes, because the background shape is reasonably well reproduced in these regions and the invariantmass resolution of the reconstructed peaks appears stable, independently of pT. The uncertainty on the normalisation was estimated by varying the normalisation regions and is included in the quoted systematic uncertainty for the signal extraction (Table 5). For ∗±, a combined fit of a second-order polynomial for the residual background description and a Breit– Wigner function with a width fixed to the PDG values [ 16 ] for the signal were used in the invariant-mass range of 1.28 < M π < 1.55 GeV/c2. The detector resolution (∼1 MeV/c2) is much lower than the ∗± width and was therefore neglected. In the right panel of Fig. 2, the solid and dashed lines show the result of the combined fit and the residual background, respectively. Alternative fit ranges were taken into account in the estimation of the systematic uncertainty. A linear and a cubic parametrization for the residual background were used to study the systematic uncertainty related to the signal extraction. For ∗0, a combined fit of a first-order polynomial for the residual background and a Voigtian function (a convolution of a Breit–Wigner and a Gaussian function accounting for the detector resolution) for the signal was used, as described in Ref. [ 17 ]. The raw yields N RAW were obtained by integrating the signal function from the combined fit. For ∗±, the integration of the Breit–Wigner function was carried out in the invariant mass range between 1.28 and 1.56 GeV/c2. For ∗0, the integration of the Voigtian function was done in the mass region between 1.48 and 1.59 GeV/c2. In both cases, corrections for the tails outside the integration region were applied. The statistical uncertainties on the raw yields range between 5 and 15% for ∗± and 2–6% for ∗0, respectively. 3.3 Corrections and normalisation The raw yields were corrected for the geometrical acceptance and the reconstruction efficiency (A × ε) of the detector (Fig. 4) and by branching ratios (total B.R. in Table 2). By using the DPMJET 3.05 event generator [ 19 ] and the y 1 c n e i c iff E × e can10−1 t p e c c A Σ(1385)+ Ξ(1530)0 ALICE, p-Pb, sNN = 5.02 TeV (0-100%) 1 2 3 4 5 6 7 8 pT (GeV/c) GEANT 3.21 package [ 27 ], a sample of about 100 million p–Pb events was simulated and reconstructed in order to compute the corrections. The distributions of A ×ε were obtained from the ratio between the number of reconstructed hyperons ( ∗± or ∗0) and the number of generated hyperons in the same pT and rapidity interval. Inefficiencies in the vertex reconstruction have a negligible effect for all multiplicity classes except 60–100%, where a correction factor of 1.03 has to be applied to the raw yields. The product A× for MB events is shown in Fig. 4 for ∗+ and ∗0. Since the correction factors for different multiplicity classes are in agreement with those from MB events within statistical uncertainty, the latter were used for all multiplicity classes. For ∗+ and ∗−, the correction factors were the same. In the case of ∗+ and ∗−, correction factors were around 10% higher at low pT, as expected due to the different interaction cross sections of proton and antiprotons in the detector’s material [ 28 ]. Finally, the yields were normalised to the number of events analysed in each multiplicity class, as defined in Table 1. The MB spectra were instead normalised to the number of NSD events after applying the correction factors for trigger efficiency and event selection, primary vertex reconstruction and selection, resulting in a total scaling factor of 0.964 [ 14 ]. 3.4 Systematic uncertainties Systematic effects due to the global tracking efficiency, track and topological selection cuts, PID, mass window selection ( ±), vertex selection, signal extraction and uncertainties on the knowledge of the material budget and branching ratio were studied for each pT interval and multiplicity class by comparing different choices of selection criteria. The results are summarized in Table 5. Each source of systematic effects was first requested to pass a consistency check, testing whether a change in selection criteria prevents statistically significant differences in the reconstructed yields [ 29 ]. If the source failed the consistency check, the deviation between the default yield and the alternative one obtained by varying the selection was taken as systematic uncertainty. Sources which did not provide statistically significant differences are not listed in Table 5 (e.g. invariant mass window). The uncertainty for the ∗± yield is taken as the average of the uncertainties for ∗+, ∗−, ∗−, and ∗+. For ∗±, the main contribution to the total systematic uncertainty originates from the signal extraction, while for ∗0 the main contribution is from the PID. The signal extraction includes variations of the background normali-1 ]) 1 c / eV 10− 1 G [)( 10−2 y dT 10−3 p d /( 10−4 2 N dtv 10−5 e /1N 10−6 10−7 Σ(1385)+ ALICE, p-Pb, sNN = 5.02 TeV -0.5 < y CMS < 0 NSD (x8) 0-20% (x1) 20-60% (x1/2) 60-100% (x1/4) Levy-Tsallis fit 0 1 2 3 4 sation region, choice of the integration interval of the raw yield determination and, in the case of ∗±, order of the polynomial for describing the residual background. Also, an alternative method, which integrates the signal distribution by summing the bin contents, provides negligible differences. Table 5 reports the minimum and maximum of the systematic uncertainty from each source. The systematic uncertainty in each pT interval is obtained as the quadratic sum of all contributions, except the pT-independent uncertainties, which affect only the normalisation (see Sect. 4.1). The uncertainties which are dependent on multiplicity and uncorrelated across different multiplicity bins were treated separately. Topological selections, signal extraction and PID give the dominant contributions to the uncertainties uncorrelated across multiplicity. These uncertainties were estimated to be within 3% (5%), which represents a fraction of 35% (50%) of the total systematic uncertainty for ∗± ( ∗0). 4 Results and discussion 4.1 Transverse momentum spectra The transverse momentum spectra of ∗+ and ∗0 in the rapidity range −0.5 < yCMS < 0 are shown in Fig. 5 for different multiplicity classes and for NSD events. They cover the ranges 1 < pT < 6 GeV/c for ∗+ and 0.8 < pT < 8 GeV/c for ∗0. The spectra obtained for ∗−, ∗− and ∗+ are consistent with the spectrum of ∗+. The spectra are fitted with a Lévy–Tsallis function [ 30 ], χ2/ndf 6.298/7 21(Ξ(1530)0+Ξ(1530)0) p0 0.269±0.65 ALICE, p-Pb, sNN = 5.02 TeV p1 0.6189±0.8 -0.5 < y CMS < 0 p2 10±936.1 -1 ])c 1 /V 10−1 e [(G10−2 ) T10−3 p y 10−4 d d / 10−5 ( 2 N dtv 10−6 e /N 10−7 1 10−8 NSD (x8) 0-20% (x1) 20-40% (x1/2) 40-60% (x1/4) 60-100% (x1/8) Levy-Tsallis fit 0 1 2 3 4 5 5 6 pT (GeV/c) 6 7 8 pT (GeV/c) Fig. 5 Transverse momentum spectra of ∗+ (left) and ∗0 (right) in different multiplicity classes in the rapidity range −0.5 < yCMS < 0. For ∗0, both particles and antiparticles are analysed together. Statistical (bars) and systematic (boxes) uncertainties are included. The dashed curves are Lévy–Tsallis fit to each individual distribution where Nevt is the number of events, m0 is the mass of the particle, and n, C and the integrated yield dN /dy are free parameters for the fit. This function was successfully used to describe most of the identified particle spectra in pp collisions [ 14, 17, 26 ]. The values of dN /dy and pT shown in Table 6 were calculated by using the experimental spectrum in the measured pT-range and the Lévy–Tsallis fit function outside of the measured pT-range. The contribution from the low- pT extrapolation to the total dN /dy is 36–47% (20–29%) for ∗+ ( ∗0) moving from low to high multiplicity, while the one from the high- pT extrapolation is negligible. The systematic uncertainties on dN /dy and pT presented in Table 6 were estimated by repeating the Lévy–Tsallis fit moving randomly (with a Gaussian distribution) the measured points within their pT-dependent systematic uncertainties. The pTindependent uncertainties were further added in quadrature to the systematic uncertainties on dN /dy. Alternative functional forms, such as Boltzmann–Gibbs Blast-Wave [ 31, 32 ], mT-exponential [ 32, 33 ], Boltzmann and Bose–Einstein fit functions were used for both particles to evaluate the systematic uncertainties on the low- pT extrapolation. The maximum difference between the results obtained with the various fit functions was taken as the uncertainty. These systematic uncertainties, which vary between 5 and 10%, were added in quadrature to the uncertainties for the Lévy–Tsallis fit. The values for ∗± in Table 6 were obtained by averaging those for ∗+, ∗−, ∗− and ∗+ to reduce the statistical uncertainties. 4.2 Mean transverse momenta Figure 6 shows the mean transverse momentum pT as a function of mean charged-particle multiplicity density ) /Vc 2 e G ( T 1.8 p 1.6 1.4 1.2 1 0.8 Multiplicity class pT (GeV/c) dNch/dηlab at midrapidity. The results for ∗± and ∗0 are compared with those for other hyperons observed in p–Pb collisions at √sNN = 5.02 TeV [ 10, 24 ]. Increasing trends from low to high multiplicities are observed for all hyperons. For both ∗± and ∗0, the mean transverse momenta increase by 20% as the mean chargedparticle multiplicity increases from 7.1 to 35.6. This result is similar to the one obtained for the other hyperons. Furthermore, a similar increase has been observed also for K±, K0 , S K∗(892)0 and φ [ 14 ], whereas protons are subject to a larger (∼33%) increase in the given multiplicity range, as discussed also in Ref. [ 24 ]. In all multiplicity classes, the pT follows an approximate mass ordering: pT < pT − pT ∗± < pT ∗0 < pT − . The pT of ∗± looks systemati ALICE, p-Pb sNN = 5.02 TeV Uncertainties: stat.(bars), sys.(boxes) 10 Fig. 6 Mean transverse momenta pT of , −, ∗±, ∗0 and − in p–Pb collisions at √sNN = 5.02 TeV as a function of mean chargedparticle multiplicity density dNch/dηlab , measured in the pseudorapidity range | ηlab |< 0.5. The results for , − and − are taken from [ 10,14,24 ]. Statistical and systematic uncertainties are represented as bars and boxes, respectively. The − and − points in the 3rd and 4th lowest multiplicity bins are slightly displaced along the abscissa to avoid superposition with the ∗0 points ΩΞ*0 Σ*± ΞΛ )c 3.5 / V e 3 G ( pT2.5 2 1.5 1 0.5 00 Σ*± Ξ*0 p-Pb 5.02 TeV (0-20%) p-Pb 5.02 TeV (0-20%) p-Pb 5.02 TeV (0-100%) pp 7 TeV (INEL) ALICE Fig. 7 Mass dependence of the mean transverse momenta of identified particles for the 0–20% V0A multiplicity class and with −0.5 < yCMS < 0 in p–Pb collisions at √sNN = 5.02 TeV [ 10, 24 ], and in minimum-bias pp collisions at √s = 7 TeV [17] with |yCMS| < 0.5. Additionally, D0 and J /ψ results are plotted. The D0 and J /ψ were measured in different rapidity ranges: |yCMS| < 0.5 [ 34 ] (|yCMS| < 0.9 [ 35 ]) for D0 (J /ψ) in pp and −0.96 < yCMS < 0.04 [ 34 ] (−1.37 < yCMS < 0.43 [ 36 ]) for D0 (J /ψ) in p–Pb. Note also that the results for D0 and J /ψ in p–Pb collisions are for the 0–100% multiplicity class cally lower than the pT of −, despite the larger mass of ∗±. The uncertainties, however, are too large to draw any conclusion on possible hints of violation of the mass hierarchy. This hierarchy of mass-ordering, also including D0 and J /ψ in the comparison, is displayed in Fig. 7. Note, however, that the D0 and J /ψ were measured in different rapidity ranges: |yCMS| < 0.5 [ 34 ] (|yCMS| < 0.9 [ 35 ]) for D0 ( J /ψ ) in pp and −0.96 < yCMS < 0.04 [ 34 ] (−1.37 < yCMS < 0.43 [ 36 ]) for D0 ( J / ψ ) in p–Pb, and the results for D0 and J /ψ in p-Pb collisions are for the 0– 100% multiplicity class. This mass dependence is observed in both p–Pb and pp collisions. It was observed also by the STAR collaboration [ 37 ] in MB pp, MB d–Au and central Au–Au collisions. Furthermore, for the light-flavour hadrons, the mean transverse momenta in p–Pb collisions are observed to be consistently higher than those in pp collisions at 7 TeV. The situation for the charm hadrons is different, where pT appears compatible between both colliding systems. The discrepancy is likely due to different production mechanisms for heavy and light flavours and to a harder fragmentation of charm quarks. Specifically, the fact that pT remains similar in pp and in p–Pb is consistent with (i) the fact that p–Pb collisions can be considered as a superposition of independent nucleon-nucleon collisions for what concerns D-meson production, as described in [ 34 ], and/or (ii) with the effects of shadowing in p–Pb which reduces the production at low pT and thus increasing the overall pT for J /ψ [ 36 ]; the small pT hardening expected in pp when going from 5.02 to 7 TeV is apparently not enough to counter-balance the situation. Because of small decrease of the pT for proton and relative to those for K∗0 and φ, two different trends for mesons and baryons have been suggested [ 38 ]. Even including D0 and J /ψ , as shown in Fig. 7, a different trend for mesons and baryons cannot be convincingly established. 4.3 Integrated particle ratios The integrated yield ratios of excited to ground-state hyperons [ 10,17,24,32,37,39 ] with the same strangeness content, for different collision systems and energies, are shown in Fig. 8 as a function of dNch/dηlab . In both cases, the variation of the integrated yield ratio with mean multiplicity is within experimental uncertainties. In fact, the similar flat behaviour of ∗±/ and ∗0/ − is remarkable, when considering their different lifetimes and other properties such as spin and mass. The results are compared with model predictions, PYTHIA8 for pp at 7 TeV [ 20 ] and DPMJET for p–Pb at 5.02 TeV [ 19 ] collisions. The ∗±/ ratios are consistent with the values predicted by PYTHIA8 in pp collisions, whereas the DPMJET prediction for p–Pb collisions is lower than the experimental data. The measured ∗0/ − ratios appear higher than the corresponding predictions for both systems. Note that the PYTHIA8 [ 20 ] and DPMJET [ 19 ] values in Figs. 8 and 9 were obtained respectively for INEL pp and NSD p–Pb events, which have corresponding mean chargedparticle multiplicities of dNch/dηlab INEL = 4.60 +−00..3147 [ 40 ] and dNch/dηlab NSD = 17.4 ± 0.7 [ 23 ]. These predictions are indicated as dotted and dashed lines with arbitrary lengths in the pertinent multiplicity regions in Figs. 8 and 9. Fig. 9 will be discussed later. The results are also compared to thermal model predictions [ 7,18 ]. For small systems a canonical treatment is a priori required to take into account exact strangeness conservation [18]. This approach leads to a dependence on system size as can be seen in p-Pb collisions studying multi-strange hadrons [ 10 ]. For the chosen ratios, however, the canonical corrections are identical for numerator and denominator (same strangeness quantum number). Therefore, the grand canonical values are used in Fig. 8 for two models [ 7,18 ], which are marked at the asymptotic limit, corresponding to the mean charged-particle multiplicity in Pb–Pb [43]. The constant behaviour of the yield ratios of excited to ground-state hyperons with same strangeness content indicates that neither regeneration nor re-scattering dominates with increasing collision system size, even for ∗±, which has a shorter lifetime than ∗0 by a factor of 4. It is especially interesting to consider the constant behaviour of ∗± / ratio in contrast to the apparent decrease observed for K∗0/K− ratio in the same dNch/dηlab range [ 14 ], in spite of the simGSI-Heidelberg model TT HchE=1R5M6UMSeV ALICE, p-Pb, sNN = 5.02 TeV T ch=158 MeV ALICE, pp, s = 7 TeV (INEL) p-Pb, DPMJET STAR, d-Au, sNN = 200 GeV pp, Pythia8 STAR, pp, s = 200 GeV GSI-Heidelberg model TT HchE=1R5M6UMSeV ALICE, p-Pb, sNN = 5.02 TeV T ch=158 MeV ALICE, pp, s = 7 TeV (INEL) p-Pb, DPMJET pp, Pythia8 0 10 20 30 40 103 0 10 20 30 40 103 Fig. 8 (Left) ratio of ∗± to and (Right) ratio of ∗0 to − measured in pp [ 17,32,37,39 ], d–Au [ 32,37 ] and p–Pb [ 10,24 ] collisions, as a function of dNch/dηlab measured at midrapidity. Statistical uncertainties (bars) are shown as well as total systematic uncertainties (hollow boxes) and systematic uncertainties uncorrelated across multiplicity (shaded boxes). A few model predictions are also shown as lines at their appropriate abscissa Fig. 9 (Left) ratio of ∗± to π ± and (Right) ratio of ∗0 to π ±, measured in pp [ 17,32,41,42 ], d–Au [ 32,37 ] and p–Pb [24] collisions, as a function of the average charged particle density ( dNch/dηlab ) measured at midrapidity. Statistical uncertainties (bars) are shown as well ilarly short lifetimes of ∗± and K∗0. In Pb–Pb collisions, both behaviours are predicted by the EPOS3 model [ 44, 45 ], which employs the UrQMD model [46] for the description of the hadronic phase. In addition, the ∗±/ ratios at LHC energies turn out to be comparable with the results obtained at lower energies by the STAR collaboration [ 32, 37 ]. The integrated yield ratios of excited hyperons to pions are shown in Fig. 9 to study the evolution of relative strangeness production yields with increasing collision system size. Considering the relatively small systematic uncertainties uncorrelated across multiplicity (shaded boxes), one observes increasing patterns by 40–60% relative to results in pp colas total systematic uncertainties (hollow boxes) and systematic uncertainties uncorrelated across multiplicity (shaded boxes). A few model predictions are also shown as lines at their appropriate abscissa lisions at the same √sNN, depending on the strangeness contents. These results are consistent with previous observations of ground-state hyperons to pion ratios measured at ALICE [ 10 ]. The constant behavior of the ∗±/ and ∗0/ − ratios indicates that the strangeness enhancement observed in p-Pb collisions depends predominantly on the strangeness content, rather than on the hyperon mass. Results from low-energy collisions [ 32, 37, 42 ] show a similar pattern in spite of the narrower range accessible for mean chargedparticle multiplicity. In both cases, QCD-inspired predictions like PYTHIA for pp [ 20 ] and DPMJET for p–Pb [ 19 ] clearly underestimate the observed yield ratios, while the statistical one seems to be comparable with results from high multiplicity events. 5 Conclusions Transverse momentum spectra of ∗± and ∗0 produced in p–Pb collisions at √sNN = 5.02 TeV have been measured, and the yields and mean pT values have been extracted with the help of Lévy–Tsallis fits. The mean pT of these hyperon resonances exhibit a similarly increasing pattern as other hyperons ( , −, −), depending on mean multiplicity and following the approximate mass ordering observed for other particles despite of relatively large uncertainties. The integrated yield ratios of excited to ground-state hyperons, with the same strangeness content, show a flat behaviour over the whole mean multiplicity range. The ∗±/ ratio does not show a variation with collision energy, nor with increasing system size. The ∗0/ − ratios are higher than predicted by event generators. Both ratios agree with thermal model values. The yield ratios relative to pions show a gradual increase with dNch/dηlab . This rise is consistent with the results of ground-state hyperons produced in the same collision system, i.e. they show a gradual evolution with the system size depending only on the strangeness content. The current measurement represents a relevant baseline for further investigation in Pb–Pb collisions. It will be especially valuable to compare the ∗±/ ratio with K∗0/K−, since ∗± and K∗0 have similar lifetimes. A complete set of such measurements for many resonances (ρ, K∗0, φ, ∗±, ∗, ∗0) with different lifetimes will allow the properties of the hadronic phase to be studied in more detail. Acknowledgements The ALICE Collaboration would like to thank all its engineers and technicians for their invaluable contributions to the construction of the experiment and the CERN accelerator teams for the outstanding performance of the LHC complex. The ALICE Collaboration gratefully acknowledges the resources and support provided by all Grid centres and the Worldwide LHC Computing Grid (WLCG) collaboration. The ALICE Collaboration acknowledges the following funding agencies for their support in building and running the ALICE detector: A. I. Alikhanyan National Science Laboratory (Yerevan Physics Institute) Foundation (ANSL), State Committee of Science and World Federation of Scientists (WFS), Armenia; Austrian Academy of Sciences and Nationalstiftung für Forschung, Technologie und Entwicklung, Austria; Ministry of Communications and High Technologies, National Nuclear Research Center, Azerbaijan; Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq), Universidade Federal do Rio Grande do Sul (UFRGS), Financiadora de Estudos e Projetos (Finep) and Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP), Brazil; Ministry of Science & Technology of China (MSTC), National Natural Science Foundation of China (NSFC) and Ministry of Education of China (MOEC) , China; Ministry of Science, Education and Sport and Croatian Science Foundation, Croatia; Ministry of Education, Youth and Sports of the Czech Republic, Czech Republic; The Danish Council for Independent Research | Natural Sciences, the Carlsberg Foundation and Danish National Research Foundation (DNRF), Denmark; Helsinki Institute of Physics (HIP), Finland; Commissariat à l’Energie Atomique (CEA) and Institut National de Physique Nucléaire et de Physique des Particules (IN2P3) and Centre National de la Recherche Scientifique (CNRS), France; Bundesministerium für Bildung, Wissenschaft, Forschung und Technologie (BMBF) and GSI Helmholtzzentrum für Schwerionenforschung GmbH, Germany; Ministry of Education, Research and Religious Affairs, Greece; National Research, Development and Innovation Office, Hungary; Department of Atomic Energy Government of India (DAE) and Council of Scientific and Industrial Research (CSIR), New Delhi, India; Indonesian Institute of Science, Indonesia; Centro Fermi - Museo Storico della Fisica e Centro Studi e Ricerche Enrico Fermi and Istituto Nazionale di Fisica Nucleare (INFN), Italy; Institute for Innovative Science and Technology , Nagasaki Institute of Applied Science (IIST), Japan Society for the Promotion of Science (JSPS) KAKENHI and Japanese Ministry of Education, Culture, Sports, Science and Technology (MEXT), Japan; Consejo Nacional de Ciencia (CONACYT) y Tecnología, through Fondo de Cooperación Internacional en Ciencia y Tecnología (FONCICYT) and Dirección General de Asuntos del Personal Academico (DGAPA), Mexico; Nationaal instituut voor subatomaire fysica (Nikhef), Netherlands; The Research Council of Norway, Norway; Commission on Science and Technology for Sustainable Development in the South (COMSATS), Pakistan; Pontificia Universidad Católica del Perú, Peru; Ministry of Science and Higher Education and National Science Centre, Poland; Korea Institute of Science and Technology Information and National Research Foundation of Korea (NRF), Republic of Korea; Ministry of Education and Scientific Research, Institute of Atomic Physics and Romanian National Agency for Science, Technology and Innovation, Romania; Joint Institute for Nuclear Research (JINR), Ministry of Education and Science of the Russian Federation and National Research Centre Kurchatov Institute, Russia; Ministry of Education, Science, Research and Sport of the Slovak Republic, Slovakia; National Research Foundation of South Africa, South Africa; Centro de Aplicaciones Tecnológicas y Desarrollo Nuclear (CEADEN), Cubaenergía, Cuba, Ministerio de Ciencia e Innovacion and Centro de Investigaciones Energéticas, Medioambientales y Tecnológicas (CIEMAT), Spain; Swedish Research Council (VR) and Knut & Alice Wallenberg Foundation (KAW), Sweden; European Organization for Nuclear Research, Switzerland; National Science and Technology Development Agency (NSDTA), Suranaree University of Technology (SUT) and Office of the Higher Education Commission under NRU project of Thailand, Thailand; Turkish Atomic Energy Agency (TAEK), Turkey; National Academy of Sciences of Ukraine, Ukraine; Science and Technology Facilities Council (STFC), United Kingdom; National Science Foundation of the United States of America (NSF) and United States Department of Energy, Office of Nuclear Physics (DOE NP), United States of America. 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Alikhanyan National Science Laboratory (Yerevan Physics Institute) Foundation, Yerevan, Armenia 2 Benemérita Universidad Autónoma de Puebla, Puebla, Mexico 3 Bogolyubov Institute for Theoretical Physics, Kiev, Ukraine 4 Department of Physics and Centre for Astroparticle Physics and Space Science (CAPSS), Bose Institute, Kolkata, India 5 Budker Institute for Nuclear Physics, Novosibirsk, Russia 6 California Polytechnic State University, San Luis Obispo, CA, USA 7 Central China Normal University, Wuhan, China 8 Centre de Calcul de l’IN2P3, Villeurbanne, Lyon, France 9 Centro de Aplicaciones Tecnológicas y Desarrollo Nuclear (CEADEN), Havana, Cuba 10 Centro de Investigaciones Energéticas Medioambientales y Tecnológicas (CIEMAT), Madrid, Spain 11 Centro de Investigación y de Estudios Avanzados (CINVESTAV), Mexico City, Mérida, Mexico 12 Centro Fermi-Museo Storico della Fisica e Centro Studi e Ricerche “Enrico Fermi’, Rome, Italy 13 Chicago State University, Chicago, IL, USA 14 China Institute of Atomic Energy, Beijing, China 15 COMSATS Institute of Information Technology (CIIT), Islamabad, Pakistan 16 Departamento de Física de Partículas and IGFAE, Universidad de Santiago de Compostela, Santiago de Compostela, Spain 17 Department of Physics, Aligarh Muslim University, Aligarh, India 18 Department of Physics, Ohio State University, Columbus, OH, USA 19 Department of Physics, Sejong University, Seoul, South Korea 20 Department of Physics, University of Oslo, Oslo, Norway 21 Department of Physics and Technology, University of Bergen, Bergen, Norway 22 Dipartimento di Fisica dell’Università ‘La Sapienza’ and Sezione INFN, Rome, Italy 23 Dipartimento di Fisica dell’Università and Sezione INFN, Cagliari, Italy 24 Dipartimento di Fisica dell’Università and Sezione INFN, Trieste, Italy 25 Dipartimento di Fisica dell’Università and Sezione INFN, Turin, Italy 26 Dipartimento di Fisica e Astronomia dell’Università and Sezione INFN, Bologna, Italy 27 Dipartimento di Fisica e Astronomia dell’Università and Sezione INFN, Catania, Italy 28 Dipartimento di Fisica e Astronomia dell’Università and Sezione INFN, Padua, Italy 29 Dipartimento di Fisica ‘E.R. Caianiello’ dell’Università and Gruppo Collegato INFN, Salerno, Italy 30 Dipartimento DISAT del Politecnico and Sezione INFN, Turin, Italy 31 Dipartimento di Scienze e Innovazione Tecnologica dell’Università del Piemonte Orientale and INFN Sezione di Torino, Alessandria, Italy 32 Dipartimento Interateneo di Fisica ‘M. Merlin’ and Sezione INFN, Bari, Italy 33 Division of Experimental High Energy Physics, University of Lund, Lund, Sweden 34 European Organization for Nuclear Research (CERN), Geneva, Switzerland 35 Excellence Cluster Universe, Technische Universität München, Munich, Germany 36 Faculty of Engineering, Bergen University College, Bergen, Norway 37 Faculty of Mathematics, Physics and Informatics, Comenius University, Bratislava, Slovakia 38 Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, Prague, Czech Republic 39 Faculty of Science, P.J. Šafárik University, Košice, Slovakia 40 Faculty of Technology, Buskerud and Vestfold University College, Tonsberg, Norway 41 Frankfurt Institute for Advanced Studies, Johann Wolfgang Goethe-Universität Frankfurt, Frankfurt, Germany 42 Gangneung-Wonju National University, Gangneung, South Korea 43 Department of Physics, Gauhati University, Guwahati, India 44 Helmholtz-Institut für Strahlen- und Kernphysik, Rheinische Friedrich-Wilhelms-Universität Bonn, Bonn, Germany 45 Helsinki Institute of Physics (HIP), Helsinki, Finland 46 Hiroshima University, Hiroshima, Japan 47 Indian Institute of Technology Bombay (IIT), Mumbai, India 48 Indian Institute of Technology Indore, Indore, India 49 Indonesian Institute of Sciences, Jakarta, Indonesia 50 Inha University, Incheon, South Korea 51 Institut de Physique Nucléaire d’Orsay (IPNO), Université Paris-Sud, CNRS-IN2P3, Orsay, France 52 Institute for Nuclear Research, Academy of Sciences, Moscow, Russia 53 Institute for Subatomic Physics of Utrecht University, Utrecht, Netherlands 54 Institute for Theoretical and Experimental Physics, Moscow, Russia 55 Institute of Experimental Physics, Slovak Academy of Sciences, Košice, Slovakia 56 Institute of Physics, Academy of Sciences of the Czech Republic, Prague, Czech Republic 57 Institute of Physics, Bhubaneswar, India 58 Institute of Space Science (ISS), Bucharest, Romania 59 Institut für Informatik, Johann Wolfgang Goethe-Universität Frankfurt, Frankfurt, Germany 60 Institut für Kernphysik, Johann Wolfgang Goethe-Universität Frankfurt, Frankfurt, Germany 61 Institut für Kernphysik, Westfälische Wilhelms-Universität Münster, Münster, Germany 62 Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Mexico City, Mexico 63 Instituto de Física, Universidade Federal do Rio Grande do Sul (UFRGS), Porto Alegre, Brazil 64 Instituto de Física, Universidad Nacional Autónoma de México, Mexico City, Mexico 65 IRFU, CEA, Université Paris-Saclay, F-91191 Gif-sur-Yvette France, Saclay, France 66 iThemba LABS, National Research Foundation, Somerset West, South Africa 67 Joint Institute for Nuclear Research (JINR), Dubna, Russia 68 Konkuk University, Seoul, South Korea 69 Korea Institute of Science and Technology Information, Daejeon, South Korea 70 KTO Karatay University, Konya, Turkey 71 Laboratoire de Physique Corpusculaire (LPC), Clermont Université, Université Blaise Pascal, CNRS-IN2P3, Clermont-Ferrand, France 72 Laboratoire de Physique Subatomique et de Cosmologie, Université Grenoble-Alpes, CNRS-IN2P3, Grenoble, France 73 Laboratori Nazionali di Frascati, INFN, Frascati, Italy 74 Laboratori Nazionali di Legnaro, INFN, Legnaro, Italy 75 Lawrence Berkeley National Laboratory, Berkeley, CA, USA 76 Moscow Engineering Physics Institute, Moscow, Russia 77 Nagasaki Institute of Applied Science, Nagasaki, Japan 78 Physics Department, National and Kapodistrian University of Athens, Athens, Greece 79 National Centre for Nuclear Studies, Warsaw, Poland 80 National Institute for Physics and Nuclear Engineering, Bucharest, Romania 81 National Institute of Science Education and Research, Bhubaneswar, India 82 National Nuclear Research Center, Baku, Azerbaijan 83 National Research Centre Kurchatov Institute, Moscow, Russia 84 Niels Bohr Institute, University of Copenhagen, Copenhagen, Denmark 85 Nikhef, Nationaal instituut voor subatomaire fysica, Amsterdam, Netherlands 86 Nuclear Physics Group, STFC Daresbury Laboratory, Daresbury, UK 87 Nuclear Physics Institute, Academy of Sciences of the Czech Republic, Rˇež u Prahy, Czech Republic 88 Oak Ridge National Laboratory, Oak Ridge, TN, USA 89 Petersburg Nuclear Physics Institute, Gatchina, Russia 90 Physics Department, Creighton University, Omaha, NE, USA 91 Physics Department, Panjab University, Chandigarh, India 92 Physics Department, University of Cape Town, Cape Town, South Africa 93 Physics Department, University of Jammu, Jammu, India 94 Physics Department, University of Rajasthan, Jaipur, India 95 Physikalisches Institut, Eberhard Karls Universit?t Tübingen, Tübingen, Germany 96 Physikalisches Institut, Ruprecht-Karls-Universität Heidelberg, Heidelberg, Germany 97 Physik Department, Technische Universität München, Munich, Germany 98 Purdue University, West Lafayette, IN, USA 99 Pusan National University, Pusan, South Korea 100 Research Division and ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung GmbH, Darmstadt, Germany 101 Rudjer Boškovic´ Institute, Zagreb, Croatia 102 Russian Federal Nuclear Center (VNIIEF), Sarov, Russia 103 Saha Institute of Nuclear Physics, Kolkata, India 104 School of Physics and Astronomy, University of Birmingham, Birmingham, UK 105 Sección Física, Departamento de Ciencias, Pontificia Universidad Católica del Perú, Lima, Peru 106 Sezione INFN, Bari, Italy 1. 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