CMS logoCMS event Hgg
Compact Muon Solenoid
LHC, CERN

CMS-HIN-16-021 ; CERN-EP-2017-261
Pseudorapidity distributions of charged hadrons in proton-lead collisions at ${\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 5.02 and 8.16 TeV
JHEP 01 (2018) 045
Abstract: The pseudorapidity distributions of charged hadrons in proton-lead collisions at nucleon-nucleon center-of-mass energies ${\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 5.02 and 8.16 TeV are presented. The measurements are based on data samples collected by the CMS experiment at the LHC. The number of primary charged hadrons produced in non-single-diffractive proton-lead collisions is determined in the pseudorapidity range $| \eta_{\text{lab}} | < $ 2.4. The charged-hadron multiplicity distributions are compared to the predictions from theoretical calculations and Monte Carlo event generators. In the center-of-mass pseudorapidity range $| \eta_{\text{cm}} | < $ 0.5, the average charged-hadron multiplicity densities ${<} \mathrm{d} N_{\text{ch}} / \mathrm{d} \eta_{\text{cm}} {>} | _ {| \eta_{\text{cm}} | < 0.5 }$ are 17.31 $\pm$ 0.01 (stat) $\pm$ 0.59 (syst) and 20.10 $\pm$ 0.01 (stat) $\pm$ 0.85 (syst) at ${\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 5.02 and 8.16 TeV, respectively. The particle densities per participant nucleon are compared to similar measurements in proton-proton, proton-nucleus, and nucleus-nucleus collisions.
Figures & Tables Summary References CMS Publications
Figures

png pdf
Figure 1:
The $\Delta \eta $ (a) and $\Delta \phi $ (b, c) distributions of hit pairs for tracklets in pPb collisions at 8.16 TeV (squares) and from MC simulations with the EPOS and HIJING 1.3 generators (solid lines). The statistical uncertainties are smaller than the marker sizes for all distributions shown.

png pdf
Figure 1-a:
The $\Delta \eta $ distribution of hit pairs for tracklets in pPb collisions at 8.16 TeV (squares) and from MC simulations with the EPOS and HIJING 1.3 generators (solid lines). The statistical uncertainties are smaller than the marker sizes for all distributions shown.

png pdf
Figure 1-b:
The $\Delta \phi $ distribution of hit pairs for tracklets in pPb collisions at 8.16 TeV (squares) and from MC simulations with the EPOS and HIJING 1.3 generators (solid lines). The statistical uncertainties are smaller than the marker sizes for all distributions shown.

png pdf
Figure 1-c:
The $\Delta \phi $ distribution of hit pairs for tracklets in pPb collisions at 8.16 TeV (squares) and from MC simulations with the EPOS and HIJING 1.3 generators (solid lines). The statistical uncertainties are smaller than the marker sizes for all distributions shown.

png pdf
Figure 2:
Distributions of the pseudorapidity density of charged hadrons in the region $ | {\eta _{\text {lab}}} | < 2.4$ in NSD pPb collisions at $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 5.02 (open squares) and 8.16 TeV (full squares). The measurement at 5.02 TeV by the ALICE Collaboration [30] is shown as filled circles. The shaded boxes indicate the systematic uncertainties which, in the case of the CMS data, are correlated between the two beam energies. The proton beam goes in the positive ${\eta _{\text {lab}}}$ direction.

png pdf
Figure 3:
Distributions of the pseudorapidity density of charged hadrons in the region $ | {\eta _{\text {lab}}} | < $ 2.4 for NSD pPb collisions at 8.16 TeV (squares) compared to predictions from the MC event generators EPOS LHC [27,17] (v3400), HIJING [14] (versions 1.3 [15] and 2.1 [12]), and DPMJET-III [16], as well as from the KLN model [11]. The shaded boxes around the data points indicate their systematic uncertainties. The proton beam goes in the positive ${\eta _{\text {lab}}} $ direction.

png pdf
Figure 4:
Comparison of the measured $ {{\mathrm {d}}{}N_{\text {ch}}/ {\mathrm {d}}\eta _{\text {cm}}} $ at midrapidity, scaled by the number of participating nucleons (${N_{\text {part}}}$) in pPb [30,51], pAu [52], dAu [33,48,53] and central heavy ion collisions [37,38,39,40,41,42,43,44,45,46,47,26,48,49,50], as well as NSD [54,55,56,50,57,22,23] and inelastic [58,56,59,37,25] pp collisions. The AA data points at $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 2.76 TeV have been shifted horizontally for visibility. The dashed curves, included to guide the eye, correspond to a fit to the data points using the same functional form as in Refs. [59,46].
Tables

png pdf
Table 1:
Summary of the systematic uncertainties from various sources, for pPb collisions at 5.02 and 8.16 TeV. The range of values indicates the minimum and maximum uncertainties across the ${\eta _{\text {lab}}}$ range.
Summary
The pseudorapidity distributions of primary charged hadrons have been measured by the CMS experiment at the LHC in proton-lead collisions at ${\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 5.02 and 8.16 TeV. Based on pairs of pixel clusters from two different layers of the barrel region of the CMS pixel detector, the distributions have been obtained for NSD pPb events at both collision energies. The measured $\mathrm{d} N / \mathrm{d} \eta_{\text{lab}}$ distribution at 5.02 TeV is consistent with published results by the ALICE Collaboration. At 8.16 TeV, the measured $\mathrm{d} N / \mathrm{d} \eta_{\text{lab}} $ distribution is higher than the predictions of EPOS LHC, but significantly lower than the predictions from the HIJING 1.3 and DPMJET-III event generators. At $\eta_{\text{lab}} \approx $ 0, the measured distributions are in good agreement with calculations from the KLN gluon saturation model and predictions from the HIJING 2.1 event generator with the effects of gluon shadowing included. The charged-hadron multiplicity densities in the nucleon-nucleon center-of-mass frame, $ {<} \mathrm{d} N_{\text{ch}} / \mathrm{d} \eta_{\text{cm}} {>} | _ {| \eta_{\text{cm}} | < 0.5 } $, are 17.31 $\pm$ 0.01 (stat) $\pm$ 0.59 (syst) and 20.10 $\pm$ 0.01 (stat) $\pm$ 0.85 (syst) at ${\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 5.02 and 8.16 TeV, respectively. When comparing the average charged-particle density per participant nucleon for pp, pA, and NN collisions as a function of collision energy, the pA results are found to be below those in central NN collisions and NSD pp collisions, but coincide with the trend seen in inelastic pp collisions. These results represent the first measurement of hadron production at this new center-of-mass energy frontier in nuclear collisions, and provide constraints for the understanding of nonperturbative QCD effects in high-energy nuclear collisions.
References
1 W. Busza Review of experimental data on hadron-nucleus collisions at high-energies Acta Phys. Polon. B 8 (1977)333
2 C. A. Salgado et al. Proton-nucleus collisions at the LHC: scientific opportunities and requirements JPG 39 (2012) 015010 1105.3919
3 CMS Collaboration Nuclear effects on the transverse momentum spectra of charged particles in pPb collisions at $ \sqrt{s_{_\mathrm{NN}}} = $ 5.02 TeV EPJC 75 (2015) 237 CMS-HIN-12-017
1502.05387
4 CMS Collaboration Charged-particle nuclear modification factors in PbPb and pPb collisions at $ \sqrt{s_{_\mathrm{NN}}} = $ 5.02 TeV JHEP 04 (2017) 039 CMS-HIN-15-015
1611.01664
5 CMS Collaboration Study of B meson production in $ p $+Pb collisions at $ \sqrt{s_{_\mathrm{NN}}} = $ 5.02 TeV using exclusive hadronic decays PRL 116 (2016) 032301 CMS-HIN-14-004
1508.06678
6 ALICE Collaboration $ D $-meson production in $ p $-Pb collisions at $ \sqrt{s_{_\mathrm{NN}}} = $ 5.02 TeV and in pp collisions at $ \sqrt{s} = $ 7 TeV PRC 94 (2016) 054908 1605.07569
7 CMS Collaboration Measurement of prompt and nonprompt $ \mathrm{J}/{\psi} $ production in pp and pPb collisions at $ \sqrt{s_{_\mathrm{NN}}} = $ 5.02 TeV EPJC 77 (2017) 269 CMS-HIN-14-009
1702.01462
8 CMS Collaboration Transverse momentum spectra of inclusive b jets in pPb collisions at $ \sqrt{s_{_\mathrm{NN}}} = $ 5.02 TeV PLB 754 (2016) 59 CMS-HIN-14-007
1510.03373
9 CMS Collaboration Measurement of inclusive jet production and nuclear modifications in pPb collisions at $ \sqrt{s_{_\mathrm{NN}}} = $ 5.02 TeV EPJC 76 (2016) 372 CMS-HIN-14-001
1601.02001
10 CMS Collaboration Studies of dijet transverse momentum balance and pseudorapidity distributions in pPb collisions at $ \sqrt{s_{_\mathrm{NN}}} = $ 5.02 TeV EPJC 74 (2014) 2951 CMS-HIN-13-001
1401.4433
11 A. Dumitru, D. E. Kharzeev, E. M. Levin, and Y. Nara Gluon saturation in $ pA $ collisions at energies available at the CERN Large Hadron Collider: Predictions for hadron multiplicities PRC 85 (2012) 044920 1111.3031
12 R. Xu, W.-T. Deng, and X.-N. Wang Nuclear modification of high-$ p_{\mathrm{T}} $ hadron spectra in high-energy $ p+A $ collisions PRC 86 (2012) 051901 1204.1998
13 J. L. Albacete, A. Dumitru, H. Fujii, and Y. Nara CGC predictions for p+Pb collisions at the LHC NP A 897 (2013) 1 1209.2001
14 X.-N. Wang and M. Gyulassy HIJING: A Monte Carlo model for multiple jet production in pp, pA and AA collisions PRD 44 (1991) 3501
15 M. Gyulassy and X.-N. Wang HIJING 1.0: A Monte Carlo program for parton and particle production in high energy hadronic and nuclear collisions CPC 83 (1994) 307 nucl-th/9502021
16 S. Roesler, R. Engel, and J. Ranft The Monte Carlo event generator DPMJET-III in Advanced Monte Carlo for radiation physics, particle transport simulation and applications. Proceedings, Conference, MC2000, Lisbon, Portugal, October 23-26, 2000, p. 1033 2000 hep-ph/0012252
17 T. Pierog et al. EPOS LHC: Test of collective hadronization with data measured at the CERN Large Hadron Collider PRC 92 (2015) 034906 1306.0121
18 E178 Collaboration Energy dependence of the pseudorapidity distributions in proton-nucleus collisions between 50 and 200$ GeV/$c PRL 39 (1977) 1499
19 W. Kittel and E. A. De Wolf Soft Multihadron Dynamics Hackensack, USA: World Scientific, 2005 ,ISBN 9789812562951
20 CMS Collaboration Charged particle multiplicities in pp interactions at $ \sqrt{s}= $ 0.9 , 2.36, and 7 TeV JHEP 01 (2011) 079 CMS-QCD-10-004
1011.5531
21 D. d'Enterria et al. Constraints from the first LHC data on hadronic event generators for ultra-high energy cosmic-ray physics Astropart. Phys. 35 (2011) 98 1101.5596
22 CMS Collaboration Transverse-momentum and pseudorapidity distributions of charged hadrons in pp collisions at $ \sqrt{s} = $ 0.9 and $ 2.36 $ TeV JHEP 02 (2010) 041 CMS-QCD-09-010
1002.0621
23 CMS Collaboration Transverse-momentum and pseudorapidity distributions of charged hadrons in $ pp $ collisions at $ \sqrt{s} = $ 7 TeV PRL 105 (2010) 022002 CMS-QCD-10-006
1005.3299
24 CMS and TOTEM Collaborations Measurement of pseudorapidity distributions of charged particles in proton-proton collisions at $ \sqrt{s} = $ 8 TeV by the CMS and TOTEM experiments EPJC 74 (2014) 3053 1405.0722
25 CMS Collaboration Pseudorapidity distribution of charged hadrons in proton-proton collisions at $ \sqrt{s} = $ 13 TeV PLB 751 (2015) 143 CMS-FSQ-15-001
1507.05915
26 CMS Collaboration Dependence on pseudorapidity and on centrality of charged hadron production in PbPb collisions at $ \sqrt{s_{_\mathrm{NN}}} = $ 2.76 TeV JHEP 08 (2011) 141 CMS-HIN-10-001
1107.4800
27 K. Werner, F.-M. Liu, and T. Pierog Parton ladder splitting and the rapidity dependence of transverse momentum spectra in deuteron-gold collisions at the BNL Relativistic Heavy Ion Collider PRC 74 (2006) 044902 hep-ph/0506232
28 CMS Collaboration The CMS experiment at the CERN LHC JINST 3 (2008) S08004 CMS-00-001
29 GEANT4 Collaboration $ \scGeant4 $ --- a simulation toolkit NIMA 506 (2003) 250
30 ALICE Collaboration Pseudorapidity density of charged particles in $ p $+Pb collisions at $ \sqrt{s_{_\mathrm{NN}}} = $ 5.02 TeV PRL 110 (2013) 032301 1210.3615
31 D. Kharzeev and E. Levin Manifestations of high density QCD in the first RHIC data PLB 523 (2001) 79 nucl-th/0108006
32 D. Kharzeev, E. Levin, and M. Nardi Onset of classical QCD dynamics in relativistic heavy ion collisions PRC 71 (2005) 054903 hep-ph/0111315
33 PHOBOS Collaboration Pseudorapidity distribution of charged particles in $ d $+Au collisions at $ \sqrt{s_{_\mathrm{NN}}} = $ 200 GeV PRL 93 (2004) 082301 nucl-ex/0311009
34 A. Capella, U. Sukhatme, C.-I. Tan, and J. Tran Thanh Van Dual parton model PR 236 (1994) 225
35 G. Veneziano Regge intercepts and unitarity in planar dual models NPB 74 (1974) 365
36 M. L. Miller, K. Reygers, S. J. Sanders, and P. Steinberg Glauber modeling in high-energy nuclear collisions Ann. Rev. Nucl. Part. Sci. 57 (2007) 205 nucl-ex/0701025
37 PHOBOS Collaboration Charged-particle multiplicity and pseudorapidity distributions measured with the PHOBOS detector in Au+Au, Cu+Cu, d+Au, and p+p collisions at ultrarelativistic energies PRC 83 (2011) 024913 1011.1940
38 NA50 Collaboration Scaling of charged particle multiplicity in Pb-Pb collisions at SPS energies PLB 530 (2002) 43
39 STAR Collaboration Multiplicity distribution and spectra of negatively charged hadrons in $ Au+Au $ collisions at $ \sqrt{s_{_\mathrm{NN}}} = $ 130 GeV PRL 87 (2001) 112303 nucl-ex/0106004
40 BRAHMS Collaboration Charged particle densities from Au+Au collisions at $ \sqrt{s_{_\mathrm{NN}}} = $ 130 GeV PLB 523 (2001) 227 nucl-ex/0108016
41 BRAHMS Collaboration Pseudorapidity distributions of charged particles from Au+Au collisions at the maximum RHIC energy, $ \sqrt{s_{_\mathrm{NN}}} = $ 200 GeV PRL 88 (2002) 202301 nucl-ex/0112001
42 PHENIX Collaboration Centrality dependence of charged particle multiplicity in Au-Au collisions at $ \sqrt{s_{_\mathrm{NN}}} = $ 130 GeV PRL 86 (2001) 3500 nucl-ex/0012008
43 PHOBOS Collaboration Charged-particle multiplicity near midrapidity in central $ Au+Au $ collisions at $ \sqrt{s_{_\mathrm{NN}}} = $ 56 and 130 GeV PRL 85 (2000) 3100 hep-ex/0007036
44 PHOBOS Collaboration Charged-particle pseudorapidity density distributions from $ Au+Au $ collisions at $ \sqrt{s_{_\mathrm{NN}}} = $ 130 GeV PRL 87 (2001) 102303 nucl-ex/0106006
45 PHOBOS Collaboration Significance of the fragmentation region in ultrarelativistic heavy-ion collisions PRL 91 (2003) 052303 nucl-ex/0210015
46 ALICE Collaboration Charged-particle multiplicity density at midrapidity in central Pb-Pb collisions at $ \sqrt{s_{_\mathrm{NN}}} = $ 2.76 TeV PRL 105 (2010) 252301 1011.3916
47 ATLAS Collaboration Measurement of the centrality dependence of the charged particle pseudorapidity distribution in lead-lead collisions at $ \sqrt{s_{_\mathrm{NN}}} = $ 2.76 TeV with the ATLAS detector PLB 710 (2012) 363 1108.6027
48 PHENIX Collaboration Transverse energy production and charged-particle multiplicity at midrapidity in various systems from $ \sqrt{s_{_\mathrm{NN}}}= $ 7.7 to 200 GeV PRC 93 (2016), no. 2, 024901 1509.06727
49 STAR Collaboration Identified particle production, azimuthal anisotropy, and interferometry measurements in Au+Au collisions at $ \sqrt{s_{_\mathrm{NN}}} = $ 9.2 GeV PRC 81 (2010) 024911 0909.4131
50 STAR Collaboration Systematic measurements of identified particle spectra in $ pp $, $ d $+Au, and Au+Au collisions at the STAR detector PRC 79 (2009) 034909 0808.2041
51 E178 Collaboration Experimental study of multiparticle production in hadron-nucleus interactions at high energy PRD 22 (1980) 13
52 NA35 Collaboration Charged particle production in proton, deuteron, oxygen and sulphur nucleus collisions at 200 GeV per nucleon EPJC 2 (1998) 643 hep-ex/9711001
53 PHENIX Collaboration Measurements of azimuthal anisotropy and charged-particle multiplicity in $ d $+Au collisions at $ \sqrt{s_{_\mathrm{NN}}}= $ 200 , 62.4, 39, and 19.6 GeV Submitted to \it PRC 1708.06983
54 UA1 Collaboration A study of the general characteristics of proton-antiproton collisions at $ \sqrt{s} = $ 0.2 to 0.9 TeV NPB 335 (1990) 261
55 UA5 Collaboration Particle multiplicities in pp interactions at $ \sqrt{s} = $ 540 GeV PLB 121 (1983) 209
56 UA5 Collaboration Scaling of pseudorapidity distributions at c.m. energies up to 0.9 TeV Z. Phys. C 33 (1986) 1
57 CDF Collaboration Pseudorapidity distributions of charged particles produced in $ \bar{p}p $ interactions at $ \sqrt{s} = $ 630 and 1800 GeV PRD 41 (1990) 2330
58 Aachen-CERN-Heidelberg-Munich Collaboration Charged particle multiplicity distributions in pp collisions at ISR energies NPB 129 (1977) 365
59 ALICE Collaboration Charged-particle multiplicity measurement in proton-proton collisions at $ \sqrt{s}= $ 0.9 and 2.36 TeV with ALICE at LHC EPJC 68 (2010) 89 1004.3034
Compact Muon Solenoid
LHC, CERN