CMS-HIN-14-014 ; CERN-EP-2018-268 | ||
Centrality and pseudorapidity dependence of the transverse energy density in pPb collisions at ${\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 5.02 TeV | ||
CMS Collaboration | ||
13 October 2018 | ||
Phys. Rev. C 100 (2019) 024902 | ||
Abstract: The almost hermetic coverage of the CMS detector is used to measure the distribution of transverse energy, $ {E_{\mathrm{T}}} $, over 13.2 units of pseudorapidity, $\eta$, for pPb collisions at a center-of-mass energy per nucleon pair of ${\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 5.02 TeV. The huge angular acceptance exploits the fact that the CASTOR calorimeter at $-6.6 < \eta < -5.2$ is effectively present on both sides of the colliding system because of a switch in the proton-going and lead-going beam directions. This wide acceptance enables the study of correlations between well-separated angular regions and makes the measurement a particularly powerful test of event generators. For minimum bias pPb collisions the maximum value of ${\mathrm{d}}{E_{\mathrm{T}}}/{\mathrm{d}}\eta$ is 22 GeV, which implies an $ {E_{\mathrm{T}}} $ per participant nucleon pair comparable to that of peripheral PbPb collisions at ${\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 2.76 TeV. The increase of ${\mathrm{d}}{E_{\mathrm{T}}}/{\mathrm{d}}\eta$ with centrality is much stronger for the lead-going side than for the proton-going side. The $\eta$ dependence of ${\mathrm{d}}{E_{\mathrm{T}}}/{\mathrm{d}}\eta$ is sensitive to the $\eta$ range in which the centrality variable is defined. Several modern generators are compared to these results but none is able to capture all aspects of the $\eta$ and centrality dependence of the data and the correlations observed between different $\eta$ regions. | ||
Links: e-print arXiv:1810.05745 [hep-ex] (PDF) ; CDS record ; inSPIRE record ; CADI line (restricted) ; |
Figures | |
png pdf |
Figure 1:
Transverse energy density versus $\eta $ from minimum bias pPb collisions at. at $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 5.02 TeV. The proton is moving towards positive $\eta $. The statistical uncertainties are smaller than the size of the data points and the total errors are dominated by the systematics. The systematic uncertainties are largely correlated point to point within the central and with the HF regions and so shown by gray bands there. The systematic uncertainties for the most forward and backward data points i.e. $\eta = {\pm}5.9$ are uncorrelated with those of central and HF regions and so are shown as vertical bars. Predictions from the EPOS-LHC (red solid), QGSJET-II (green dashed), and hijing (blue dotted) event generators are also shown. |
png pdf |
Figure 2:
Transverse energy density per participating nucleon-nucleon pair evaluated at $\eta _\text {cm}$ versus $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} $ for minimum bias pAu, pU, dAu, and pPb collisions. The uncertainties are generally smaller than the size of the data points. Also shown are the corresponding results for central AuAu and PbPb collisions, as well as simulation for minimum bias pPb collisions from three event generators [13,3,37,35,36,38,39,40,41,42,43,44,45]. |
png pdf |
Figure 3:
Transverse energy density versus $\eta $ and centrality from 5.02 TeV pPb collisions for the HF-Double (left), HF-Single (center), and $N_\text {track}$ (right) centrality definitions for data and for predictions from the EPOS-LHC, QGSJET-II, and hijing event generators, for 0-10% (upper), 40-50% (middle), and 70-80% (lower) central collisions. The uncertainties are dominated by the systematic components, which are largely correlated point-to-point in the central region and in HF, and which are shown by gray bands there. |
png pdf |
Figure 4:
Transverse energy density per participating nucleon-nucleon pair versus $N_\text {part}$ for different $\eta $ ranges. The HF-Single method was used to define centrality. The total experimental uncertainties are shown by gray bands. |
png pdf |
Figure 5:
Ratio of peripheral to central ${E_{\mathrm {T}}}$ production, $S_\text {PC}$, as a function of $\eta $ for three centrality ranges for HF-Double (left), HF-Single (middle), and $N_\text {track}$ (right) for data, and for the EPOS-LHC, QGSJET-II, and hijing event generators. The systematic uncertainties are dominant and are of comparable size to the data points. |
Tables | |
png pdf |
Table 1:
Systematic uncertainties in $ {\mathrm {d}} {E_{\mathrm {T}}} / {\mathrm {d}}\eta $ and $S_\text {PC}$ for the tracker region, the HF region, and the CASTOR region as a function of centrality defined by HF-Double. The $S_\text {PC}$ ratio is by construction unity for 0-10% centrality and is not defined for minimum bias events. |
png pdf |
Table 2:
Values of exponents from fitting the energy dependence of $ {\mathrm {d}}N^\pm / {\mathrm {d}}\eta $ [34] and $ {\mathrm {d}} {E_{\mathrm {T}}} / {\mathrm {d}}\eta $ at midrapidity to a function of the form $s_{\text {NN}}^\gamma $ for minimum bias proton-nucleus and central nucleus-nucleus collisions. |
Summary |
In this paper we report the centrality and pseudorapidity ($\eta$) dependence of transverse energy ($ {E_{\mathrm{T}}} $) production from pPb collisions at ${\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 5.02 TeV over 13.2 units of $\eta$. The $ {E_{\mathrm{T}}} $ per participant pair in minimum bias pPb events at ${\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 5.02 TeV is comparable to that of peripheral PbPb collisions at 2.76 TeV. At midrapidity the energy density at a proper time $\tau_0= $ 1 fm/$c$ is of order of 4.5 GeV/fm$^3$ for the top 10% most central pPb collisions, which is comparable to those observed in PbPb collisions. As the centrality of the collision increases, the total $ {E_{\mathrm{T}}} $ increases dramatically and the mean $\eta$ of the $ {E_{\mathrm{T}}} $ distribution moves towards the lead-going side of the collision. For central collisions, the peak of ${\mathrm{d}}{E_{\mathrm{T}}}/{\mathrm{d}}\eta$ is 1.4 units below the center-of-mass rapidity. This pseudorapidity shift is almost the same as for pU collisions at ${\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 20 GeV. The EPOS-LHC event generator gives a good description of the minimum bias ${\mathrm{d}}{E_{\mathrm{T}}}/{\mathrm{d}}\eta$ distribution and peaks at an $\eta$ value close to that of the data for all centralities. The centrality dependence of $ {E_{\mathrm{T}}} $ production for QGSJET-II is stronger than that of the data. This model is below the data for 70-80% peripheral events and almost a factor of two above the data for the 10% most central events. Near midrapidity the hijing generator tends to underestimate the magnitude of ${\mathrm{d}}{E_{\mathrm{T}}}/{\mathrm{d}}\eta$ and for central collisions predicts a peak that is at significantly lower $\eta$ than in the data. Similarly to what has been seen in particle production at lower energy [52], the ${\mathrm{d}}{E_{\mathrm{T}}}/{\mathrm{d}}\eta$ per participating nucleon-nucleon pair increases with the number of nucleons that participate in the collisions ($N_\text{part}$) for $\eta$ values on the lead side; it is rather independent of $N_\text{part}$ near midrapidity; and it decreases with $N_\text{part}$ for $\eta$ values on the proton side. The $\eta$ region used to define centrality has a strong impact on the nature of the events selected. There is a significant autocorrelation of the $\eta$ range used to define centrality with ${\mathrm{d}}{E_{\mathrm{T}}}/{\mathrm{d}}\eta$ both for data, and the EPOS-LHC, QGSJET-II and hijing event generators. None of the tested event generators are able to capture all aspects of the autocorrelations seen in data. It is clear that cosmic ray event generators have difficulties modeling proton-lead collisions. While the proton-lead system is significantly larger than the proton-nitrogen and proton-oxygen collisions occurring in air showers, these data illustrate the need for a better understanding of nuclear effects. Ultimately, protons colliding with light nuclei would be most valuable for this purpose. |
References | ||||
1 | W. Busza, K. Rajagopal, and W. van der Schee | Heavy ion collisions: The big picture, and the big questions | 1802.04801 | |
2 | J. D. Bjorken | Highly relativistic nucleus-nucleus collisions: The central rapidity region | PRD 27 (1983) 140 | |
3 | CMS Collaboration | Measurement of the pseudorapidity and centrality dependence of the transverse energy density in PbPb collisions at $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}}= $ 2.76 TeV | PRL 109 (2012) 152303 | CMS-HIN-11-003 1205.2488 |
4 | F. Karsch | Lattice QCD at high temperature and density | in Lectures on Quark Matter, p. 209 Springer, Berlin, Heidelberg, 2002 Lecture Notes in Physics, volume 583 | hep-lat/0106019 |
5 | CMS Collaboration | Evidence for collective multiparticle correlations in p-Pb Collisions | PRL 115 (2015) 012301 | CMS-HIN-14-006 1502.05382 |
6 | ATLAS Collaboration | Measurement with the ATLAS detector of multi-particle azimuthal correlations in p+Pb collisions at $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 5.02 TeV | PLB 725 (2013) 60 | 1303.2084 |
7 | ALICE Collaboration | Search for collectivity with azimuthal $\mathrm{J}/ \psi $-hadron correlations in high multiplicity p-Pb collisions at $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 5.02 and 8.16 TeV | PLB 780 (2018) 7 | 1709.06807 |
8 | CMS Collaboration | Evidence for collectivity in pp collisions at the LHC | PLB 765 (2017) 193 | CMS-HIN-16-010 1606.06198 |
9 | ATLAS Collaboration | Measurement of multi-particle azimuthal correlations in pp, p+Pb and low-multiplicity Pb+Pb collisions with the ATLAS detector | EPJC 77 (2017) 428 | 1705.04176 |
10 | ALICE Collaboration | Multi-strange baryon production in p-Pb collisions at $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}}= $ 5.02 TeV | PLB 758 (2016) 389 | 1512.07227 |
11 | E-802 Collaboration | Measurement of energy emission from O+A and p+A collisions at 14.5 GeV/$c$ per nucleon with a lead glass Array | PLB 197 (1987) 285 | |
12 | E814 Collaboration | Transverse energy and charged particle multiplicity in p nucleus collisions at 14.6 GeV/$c$ | PRC 52 (1995) 2028 | |
13 | HELIOS Collaboration | Transverse energy measurements in proton - nucleus interactions at high-energy | Z. Phys. C 58 (1993) 239 | |
14 | PHENIX Collaboration | Transverse energy production and charged-particle multiplicity at midrapidity in various systems from $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}}= $ 7.7 to 200 GeV | PRC 93 (2016) 024901 | 1509.06727 |
15 | H. Sorge, R. Mattiello, H. Stocker, and W. Greiner | Energy and baryon flow in nuclear collisions at 15 A GeV | PRL 68 (1992) 286 | |
16 | K. Werner and P. Koch | Cascading in ultrarelativistic nuclear collisions | PLB 242 (1990) 251 | |
17 | B. Andersson, G. Gustafson, and B. Nilsson-Almqvist | A model for low $ {p_{\mathrm{T}}} $ hadronic reactions, with generalizations to hadron-nucleus and nucleus-nucleus collisions | NPB 281 (1987) 289 | |
18 | PHENIX Collaboration | Transverse-energy distributions at midrapidity in p+p, d+Au, and Au+Au collisions at $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}}= $ 62.4-200 GeV and implications for particle-production models | PRC 89 (2014) 044905 | 1312.6676 |
19 | R. Ulrich, R. Engel, and M. Unger | Hadronic multiparticle production at ultra-high energies and extensive air showers | PRD 83 (2011) 054026 | 1010.4310 |
20 | L. Kheyn | Shower center of gravity and hadronic interaction characteristics | Astropart. Phys. 92 (2017) 7 | 1202.4989 |
21 | 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 | |
22 | 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 |
23 | S. Ostapchenko | Monte Carlo treatment of hadronic interactions in enhanced pomeron scheme: I. QGSJET-II model | PRD 83 (2011) 014018 | 1010.1869 |
24 | CMS Collaboration | The CMS experiment at the CERN LHC | JINST 3 (2008) S08004 | CMS-00-001 |
25 | CMS Collaboration | Particle-flow reconstruction and global event description with the CMS detector | JINST 12 (2017) P10003 | CMS-PRF-14-001 1706.04965 |
26 | G. Bayatian et al. | Design, performance and calibration of the CMS forward calorimeter wedges | EPJC 53 (2008) 139 | |
27 | CMS Collaboration | Status of zero degree calorimeter for CMS experiment | AIP Conf. Proc. 867 (2006) 258 | nucl-ex/0608052 |
28 | CMS Collaboration | Measurement of inclusive jet production and nuclear modifications in pPb collisions at $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 5.02 TeV | EPJC 76 (2016) 372 | CMS-HIN-14-001 1601.02001 |
29 | 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 |
30 | CMS Collaboration | Studies of dijet transverse momentum balance and pseudorapidity distributions in pPb collisions at $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 5.02 TeV | EPJC 74 (2014) 2951 | CMS-HIN-13-001 1401.4433 |
31 | H. J. Drescher et al. | Parton based Gribov-Regge theory | PR 350 (2001) 93 | hep-ph/0007198 |
32 | K. S. Krane | Introductory nuclear physics | Wiley | |
33 | I. Angeli and K. P. Marinova | Table of experimental nuclear ground state charge radii: An update | Atomic Data and Nuclear Data Tables 99 (2013) 69 | |
34 | CMS Collaboration | 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 | CMS-HIN-16-021 1710.09355 |
35 | PHENIX Collaboration | Systematic studies of the centrality and $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} $ dependence of the $ \text{d} E_\text{T}/\text{d}\eta $ and $ \text{d}N^\text{ch}/\text{d}\eta $ in heavy ion collisions at mid-rapidity | PRC 71 (2005) 034908 | nucl-ex/0409015 |
36 | T. Abbott et al. | Systematics of mid-rapidity transverse energy distributions in limited apertures from p+Be to Au+Au collisions at relativistic energies | PRC 63 (2001) 064602, .[Erratum: \DOI10.1103/PhysRevC.64.029901] | |
37 | ALICE Collaboration | Measurement of transverse energy at midrapidity in Pb-Pb collisions at $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 2.76 TeV | PRC 94 (2016) 034903 | 1603.04775 |
38 | NA49 Collaboration | Hadron production in nuclear collisions from the NA49 experiment at 158 GeV/$c$/A | NP A 661 (1999) 45 | |
39 | NA49 Collaboration | Recent results on spectra and yields from NA49 | NP A 715 (2003) 161 | nucl-ex/0208014 |
40 | NA49 Collaboration | Energy dependence of pion and kaon production in central Pb+Pb collisions | PRC 66 (2002) 054902 | nucl-ex/0205002 |
41 | FOPI Collaboration | Central collisions of Au on Au at 150, 250 and 400 MeV/nucleon | NP A 612 (1997) 493 | nucl-ex/9610009 |
42 | FOPI Collaboration | Charged pion production in Au on Au collisions at 1 A GeV | Z. Phys. A 357 (1997) 215 | |
43 | FOPI Collaboration | Proton and pion distributions in heavy-ion collisions at SIS energies | PRC 66 (2002) 034901 | |
44 | STAR Collaboration | Measurements of transverse energy distributions in Au+Au collisions at $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 200 GeV | PRC 70 (2004) 054907 | nucl-ex/0407003 |
45 | E802 Collaboration | Simultaneous multiplicity and forward energy characterization of particle spectra in Au+Au collisions at 11.6 A GeV/$c$ | PRC 59 (1999) 2173 | |
46 | F. Videbaek and O. Hansen | Baryon rapidity loss and mid-rapidity stacking in high-energy nucleus-nucleus collisions | PRC 52 (1995) 2684 | |
47 | W. Busza and A. S. Goldhaber | Nuclear stopping power | PLB 139 (1984) 235 | |
48 | BRAHMS Collaboration | Nuclear stopping in Au+Au collisions at $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 200 GeV | PRL 93 (2004) 102301 | nucl-ex/0312023 |
49 | BRAHMS Collaboration | Nuclear stopping and rapidity loss in Au+Au collisions at $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 62.4 GeV | PLB 677 (2009) 267 | 0901.0872 |
50 | CMS Collaboration | Studies of the nuclear stopping power in PbPb collisions at 2.76 TeV with CMS | NP A 904-905 (2013) 787c | |
51 | STAR Collaboration | Bulk properties of the medium produced in relativistic heavy-ion collisions from the beam energy scan program | PRC 96 (2017) 044904 | 1701.07065 |
52 | W. Busza | Structure and fine structure in multiparticle production data at high energies | Acta Phys. Polon. B 35 (2004) 2873 | nucl-ex/0410035 |
Compact Muon Solenoid LHC, CERN |