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Transverse-energy distributions at midrapidity in p+p, d+Au, and Au+Au collisions at sNN=62.4–200 GeV and implications for particle-production models

S. S. Adler et al. (PHENIX Collaboration)
Phys. Rev. C 89, 044905 – Published 9 April 2014

Abstract

Measurements of the midrapidity transverse-energy distribution, dET/dη, are presented for p+p, d+Au, and Au+Au collisions at sNN=200 GeV and additionally for Au+Au collisions at sNN=62.4 and 130 GeV. The dET/dη distributions are first compared with the number of nucleon participants Npart, number of binary collisions Ncoll, and number of constituent-quark participants Nqp calculated from a Glauber model based on the nuclear geometry. For Au+Au, dET/dη/Npart increases with Npart, while dET/dη/Nqp is approximately constant for all three energies. This indicates that the two-component ansatz, dET/dη(1x)Npart/2+xNcoll, which was used to represent ET distributions, is simply a proxy for Nqp, and that the Ncoll term does not represent a hard-scattering component in ET distributions. The dET/dη distributions of Au+Au and d+Au are then calculated from the measured p+p ET distribution using two models that both reproduce the Au+Au data. However, while the number-of-constituent-quark-participant model agrees well with the d+Au data, the additive-quark model does not.

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  • Received 24 December 2013

DOI:https://doi.org/10.1103/PhysRevC.89.044905

©2014 American Physical Society

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Vol. 89, Iss. 4 — April 2014

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Images

  • Figure 1
    Figure 1

    Schematic diagram showing the locations of the PHENIX electromagnetic calorimeter sectors in the central arm spectrometer. The sectors labeled W1, W2, W3, E2, and E3 were used in this analysis

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  • Figure 2
    Figure 2

    ETEMC distributions for sNN=62.4 GeV Au+Au collisions. Shown are the MB distribution along with the distributions in 5% wide centrality bins selected using the BBCs. All the plots are normalized so that the integral of the MB distribution is unity.

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  • Figure 3
    Figure 3

    Corrected ET=dET/dη|η=0 distributions at sNN=200 GeV for five sectors of PbSc (a) Au+Au; (b) p+p, d+Au. The correction factors for each data set are listed in Table 2. All the plots are normalized so that the integral of each distribution is unity.

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  • Figure 4
    Figure 4

    (a) The number of quark participants as a function of the number of nucleon participants. The error bars represent the systematic uncertainty estimate on the MC-Glauber calculation. The dashed line is a linear fit to the 200 GeV Au+Au points with Npart>100 to illustrate the nonlinearity of the correlation at low values of Npart. (b) The ratio of the number of quark participants to the number of nucleon participants as a function of the number of nucleon participants. The error bands represent the systematic uncertainty estimate on the MC-Glauber calculation.

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  • Figure 5
    Figure 5

    dET/dη normalized by the number of participant pairs as a function of the number of participants for Au+Au collisions at sNN = 200, 130, and 62.4 GeV. The Type A uncertainties are represented by error bars about each point. The Type B uncertainties are represented by the lines bounding each point. The Type C uncertainties are represented by the error bands to the right of the most central data point.

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  • Figure 6
    Figure 6

    dET/dη normalized by the number of participant quark pairs as a function of the number of participants for Au+Au collisions at sNN = 200, 130, and 62.4 GeV. The Type A uncertainties are represented by error bars about each point. The Type B uncertainties are represented by the lines bounding each point. The Type C uncertainties are represented by the error bands to the right of the most central data point.

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  • Figure 7
    Figure 7

    dET/dη as a function of the number of quark participants for Au+Au collisions at sNN = 200, 130, and 62.4 GeV. The Type A uncertainties are represented by error bars about each point. The Type B uncertainties are represented by error bands about each point shown. The Type A and Type B uncertainties are typically less than the size of the data point. The Type C uncertainties are represented by the error bands to the right of the most central data point. The lines are straight line fits to the data.

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  • Figure 8
    Figure 8

    Fits of the p+p data to a single Γ distribution for the ranges ET<13.3 and ET<26.6 GeV.

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  • Figure 9
    Figure 9

    Distribution of the number of quark participants in Au+Au at sNN=200 GeV.

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  • Figure 10
    Figure 10

    (a) Deconvolution fit to the p+p ET distribution for ET<13.3 GeV at sNN=200 GeV with the corrected weights wiAQM calculated in the additive quark model (AQM) using the symmetric color-string efficiency, εAQM=1p0AQM=0.538. Lines represent the properly weighted individual ET distributions for 1, 2, 3 color strings plus the sum. On the y-axis intercept, the top line is the sum and the lower curves in descending order are the ET distributions of 1,2,3 color strings. (b) Deconvolution fit to the same p+p ET distribution for ET<13.3 GeV with the corrected weights wiNQP with εNQP=1p0NQP=0.659 calculated in the NQP model. Lines represent the properly weighted individual ET distributions for the underlying 2, 3, 4, 5, 6 constituent-quark participants plus the sum.

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  • Figure 11
    Figure 11

    ET distributions at sNN=200 GeV calculated in the number of constituent-quark participants or NQP model, with εNQP=1p0NQP=0.659 for Au+Au together with the AQM calculations with efficiencies indicated.

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  • Figure 12
    Figure 12

    d+Au measurements compared to the AQM and NQP model calculations.

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  • Figure 13
    Figure 13

    ET distributions at sNN=200 GeV in d+Au calculated in the quark participant (NQP) model with εNQP=1p0NQP=0.659 together with the individual visible convolutions for NQP, i.e., 2,3,...33, out of a maximum of 50 NQP considered.

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  • Figure 14
    Figure 14

    Systematic checks of ETdET/dη|y=0 calculations using p+p fits with ET<26.6 GeV (a) d+Au data compared to standard calculation in the NQP model with εNQP=1p0NQP=0.659, for 1p0=0.647 in a p+p collision from fit with ET<13.3 GeV compared to εNQP=1p0NQP=0.670 for 1p0=0.660 when the fit to the p+p data is extended to ET<26.6 GeV. (b) Au+Au calculation for the same conditions as d+Au in (a).

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  • Figure 15
    Figure 15

    Measured ET distribution in Au+Au at sNN=200 GeV on the same ET scale as Fig. 13 compared to the calculation in the quark participant (NQP) model with εNQP=1p0NQP=0.659 together with the individual visible convolutions for NQP in this ET range, i.e., 2,3, ...114, out of 584 convolutions with visible contribution to the full distribution, out of a maximum of 1020 NQP considered.

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  • Figure 16
    Figure 16

    ETdET/dη|y=0 distributions at sNN=200 GeV. (a) Au+Au compared to the NQP calculations using the central 1p0=0.647 and ±1σ variations of 1p0=0.582,0.712 for the probability of getting zero ET on a p+p collision with resulting ɛNQP=0.659,0.603,0.716, respectively. (b) d+Au calculation for the same conditions as in (a).

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  • Figure 17
    Figure 17

    Au+Au measurement of dET/dη compared to the Npart-WNM (dot-dash) and Ncoll (dashes) model calculations.

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  • Figure 18
    Figure 18

    Au+Au measurement of dET/dη, with 10%–15% centrality region indicated, compared to the calculation of the distribution given by Eq. (21) for Npart = 254 and Ncoll=672 corresponding to 10%–15% centrality.

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  • Figure 19
    Figure 19

    Au+Au measurement of dET/dη, with 10%–15% centrality region indicated, compared to the calculation of the distribution given by Eq. (21) for Npart = 254 and Ncoll=672 corresponding to 10%–15% centrality, where the distributions have been scaled in ET by 0.92 and 0.08, respectively.

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