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Measurement of inclusive J/ψ polarization in p+p collisions at s=200GeV by the STAR experiment

J. Adam et al. (STAR Collaboration)
Phys. Rev. D 102, 092009 – Published 20 November 2020

Abstract

We report on new measurements of inclusive J/ψ polarization at midrapidity in p+p collisions at s=200GeV by the STAR experiment at the Relativistic Heavy Ion Collider. The polarization parameters, λθ, λϕ, and λθϕ, are measured as a function of transverse momentum (pT) in both the helicity and Collins-Soper (CS) reference frames within pT<10GeV/c. Except for λθ in the CS frame at the highest measured pT, all three polarization parameters are consistent with 0 in both reference frames without any strong pT dependence. Several model calculations are compared with data, and the one using the Color Glass Condensate effective field theory coupled with nonrelativistic QCD gives the best overall description of the experimental results, even though other models cannot be ruled out due to experimental uncertainties.

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  • Received 9 July 2020
  • Accepted 12 October 2020

DOI:https://doi.org/10.1103/PhysRevD.102.092009

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

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Particles & Fields

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Vol. 102, Iss. 9 — 1 November 2020

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Images

  • Figure 1
    Figure 1

    Invariant mass spectra of electron-positron pairs in different pT bins (from left to right: pT=02, 2–4, 4–6, 6–8, 814GeV/c). The black markers (blue filled histograms) are the spectra from opposite-sign (same-sign) charge pairs, while the red markers represent those obtained by subtracting the same-sign spectra from the opposite-sign ones. The number of J/ψ candidates (NJ/ψ) is given by the number of opposite-sign charge pairs minus that of same-sign charge pairs within 3.0<me+e<3.15GeV/c2. The S/B ratio is the ratio between NJ/ψ and that of the same-sign charge pairs within 3.0<me+e<3.15GeV/c2.

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  • Figure 2
    Figure 2

    Normalized two-dimensional NJ/ψ(cosθ,ϕ)/NJ/ψtotal distributions in different pT bins (from left to right: pT=02, 2–4, 4–6, 6–8, 814GeV/c). The top (bottom) row shows the distributions in the HX (CS) frame. The size of the boxes represents the absolute value of the J/ψ yield. The boxes with crosses are entries with negative values.

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  • Figure 3
    Figure 3

    Two-dimensional A×ϵ(cosθ,ϕ) distributions in different pT bins (from left to right: pT=02, 2–4, 4–6, 6–8, 814GeV/c). The top (bottom) row shows the distributions in the HX (CS) frame. The size of the boxes represents the value of the J/ψ reconstruction efficiency times acceptance.

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  • Figure 4
    Figure 4

    The number of J/ψ candidates as a function of cosθ in different pT bins (from left to right: pT=02, 2–4, 4–6, 6–8, 814GeV/c). The top (bottom) row shows the distributions in the HX (CS) frame. The solid lines correspond to the expected distributions based on the J/ψ polarization parameter values extracted from data. The dashed lines are the expected distributions with assumed values of (λθ,λϕ,λθϕ)=(±1,0,0). The counts are after arbitrary normalization.

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  • Figure 5
    Figure 5

    The number of J/ψ candidates as a function of ϕ in different pT bins (from left to right: pT=02, 2–4, 4–6, 6–8, 814GeV/c). The top (bottom) row shows the distributions in the HX (CS) frame. The solid lines correspond to the expected distributions based on the J/ψ polarization parameter values extracted from data. The dashed lines are the expected distributions with assumed values of (λθ,λϕ,λθϕ)=(0,±1,0). The counts are after arbitrary normalization.

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  • Figure 6
    Figure 6

    Differences of the extracted J/ψ polarization parameters, λθ, λϕ and λinv, in the ToyMC and the input values in both the HX and CS frames. Data points of different markers correspond to the three different tests. See the text for details.

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  • Figure 7
    Figure 7

    The invariant mass spectrum of opposite-sign muon pairs for pT<10GeV/c. The solid line depicts the fitting result, consisting of a Gaussian function representing the signal (shaded area) and a polynomial function describing the background (dashed line). Data points in the ψ(2S) mass region (3.6<Mμμ<3.8GeV/c2) are excluded from the fit.

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  • Figure 8
    Figure 8

    Upper: the raw J/ψ yield and A×ϵ from the last iteration as a function of μ+cosθ (left) and ϕ (right) in the HX frame for 0<pTJ/ψ<1GeV/c. Lower: the acceptance and efficiency corrected J/ψ yields along with the simultaneous fit. The counts are after arbitrary normalization.

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  • Figure 9
    Figure 9

    Upper: the raw J/ψ yield and A×ϵ from the last iteration as a function of μ+cosθ (left) and ϕ (right) in the CS frame for 0<pTJ/ψ<1GeV/c. Lower: the acceptance and efficiency corrected J/ψ yields along with the simultaneous fit. The counts are after arbitrary normalization.

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  • Figure 10
    Figure 10

    The J/ψ polarization parameters (from top to bottom: λθ, λϕ, λθϕ) as a function of pT in the HX (left) and CS (right) frames. Open and filled symbols are for measurements through the dielectron and dimuon decay channels covering different rapidity ranges. The vertical bars represent the statistical errors, while the boxes around data points depict the systematic uncertainties. The data points are placed at the mean pT value determined from the inclusive pTJ/ψ spectrum measured in p+p collisions at s=200GeV [23]. Model calculations [8, 14, 20, 42] are also shown for comparison. The ICEM and two NLO NRQCD calculations are for prompt J/ψ, while the CGC+NRQCD is for direct J/ψ.

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  • Figure 11
    Figure 11

    λinv of J/ψ vs pT in both HX (circles) and CS (diamonds) reference frames. The open and filled symbols are for measurements through the dielectron and dimuon decay channels, respectively. The vertical bars represent the statistical errors, while the boxes around data points depict the systematic uncertainties. CGC+NRQCD [20] calculations are also shown for comparison.

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