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CMS-PAS-HIN-22-003
Study of $ \chi_\mathrm{c} $ production in pPb collisions at $ \sqrt{\smash[b]{s_{\mathrm{NN}}}} = $ 8.16 TeV with the CMS experiment
Abstract: The production of prompt P-wave charmonium states $ \chi_\mathrm{c1} $(1P) and $ \chi_\mathrm{c2} $(2P) is studied in proton-lead (pPb) collisions at a center-of-mass energy per nucleon pair of $ \sqrt{\smash[b]{s_{\mathrm{NN}}}}= $ 8.16 TeV. The analysis is based on data with an integrated luminosity of 175 nb$ ^{-1} $ that were collected by CMS at the LHC. The $ \chi_\mathrm{c} $ states are measured via their decay $ \chi_\mathrm{c} \rightarrow \mathrm{J}\!/\!\psi \gamma $. The $ \mathrm{J}\!/\!\psi $ is then reconstructed through its decay to a muon pair, while the photon is reconstructed through its conversion to an electron-positron pair. The ratios of $ [\sigma (\chi_\mathrm{c1}) \times \mathrm{B}(\chi_\mathrm{c1} \rightarrow \mathrm{J}\!/\!\psi\gamma) + \sigma(\chi_\mathrm{c2})\times\mathrm{B}(\chi_\mathrm{c2} \rightarrow \mathrm{J}\!/\!\psi\gamma)] / \sigma(\mathrm{J}\!/\!\psi) $ and $ [\sigma (\chi_\mathrm{c2}) \times \mathrm{B}(\chi_\mathrm{c2} \rightarrow \mathrm{J}\!/\!\psi\gamma)] / [\sigma (\chi_\mathrm{c1}) \times \mathrm{B}(\chi_\mathrm{c1} \rightarrow \mathrm{J}\!/\!\psi\gamma)] $ are reported in the rapidity range $ |y(\mathrm{J}\!/\!\psi)| < $ 2.4 and in the transverse momentum range 6.5 $ < p_\mathrm{T}(\mathrm{J}\!/\!\psi) < $ 30 GeV. The $ \chi_\mathrm{c1} $-to-$ \mathrm{J}\!/\!\psi $ ratio is compatible with being constant as a function of rapidity and charged particle multiplicity in the event, and rises as a function of $ p_\mathrm{T} $. The $ \chi_\mathrm{c2} $-to-$ \chi_\mathrm{c1} $ ratio is flat versus charged multiplicity, rapidity, and $ p_\mathrm{T} $. Given that both ratios are consistent with the proton-proton (pp) results at similar energies, the findings rule out a strong additional suppression of the $ \chi_\mathrm{c} $ states relative to the $ \mathrm{J}\!/\!\psi $ states in pPb collisions.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
Example of fits for $ \mathrm{J}/\psi $ (left) and $ \chi_\mathrm{c} $ (right) for the foward rapidity bin (1.6 $ < y_{\mathrm{lab, p}}(\mathrm{J}/\psi) < $ 2.4), integrated over $ p_{\mathrm{T}} $( $ \mathrm{J}/\psi $) and $ N_{\mathrm{tracks}} $. The overall fit is shown in blue; the dashed blue line is the background. On the right panel, the individual peak DCB functions are shown in red for $ \chi_\mathrm{c1} $ and green for $ \chi_\mathrm{c2} $.

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Figure 1-a:
Example of fits for $ \mathrm{J}/\psi $ (left) and $ \chi_\mathrm{c} $ (right) for the foward rapidity bin (1.6 $ < y_{\mathrm{lab, p}}(\mathrm{J}/\psi) < $ 2.4), integrated over $ p_{\mathrm{T}} $( $ \mathrm{J}/\psi $) and $ N_{\mathrm{tracks}} $. The overall fit is shown in blue; the dashed blue line is the background. On the right panel, the individual peak DCB functions are shown in red for $ \chi_\mathrm{c1} $ and green for $ \chi_\mathrm{c2} $.

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Figure 1-b:
Example of fits for $ \mathrm{J}/\psi $ (left) and $ \chi_\mathrm{c} $ (right) for the foward rapidity bin (1.6 $ < y_{\mathrm{lab, p}}(\mathrm{J}/\psi) < $ 2.4), integrated over $ p_{\mathrm{T}} $( $ \mathrm{J}/\psi $) and $ N_{\mathrm{tracks}} $. The overall fit is shown in blue; the dashed blue line is the background. On the right panel, the individual peak DCB functions are shown in red for $ \chi_\mathrm{c1} $ and green for $ \chi_\mathrm{c2} $.

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Figure 2:
$ \chi_\mathrm{c} $-to-$ \mathrm{J}/\psi $ ratio (left) and $ \chi_\mathrm{c2} $-to-$ \chi_\mathrm{c1} $ ratio (right) as a function of $ N_{\mathrm{tracks}} $. The red points are for the $ J_{z}(\chi_\mathrm{c1})=0, J_{z}(\chi_\mathrm{c2})= $ 0 scenario, while the green line represents the unpolarized case. The light green band indicates the range of variation in the results due to different polarization conditions. The blue dashed line shows a constant fit to all data points.

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Figure 2-a:
$ \chi_\mathrm{c} $-to-$ \mathrm{J}/\psi $ ratio (left) and $ \chi_\mathrm{c2} $-to-$ \chi_\mathrm{c1} $ ratio (right) as a function of $ N_{\mathrm{tracks}} $. The red points are for the $ J_{z}(\chi_\mathrm{c1})=0, J_{z}(\chi_\mathrm{c2})= $ 0 scenario, while the green line represents the unpolarized case. The light green band indicates the range of variation in the results due to different polarization conditions. The blue dashed line shows a constant fit to all data points.

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Figure 2-b:
$ \chi_\mathrm{c} $-to-$ \mathrm{J}/\psi $ ratio (left) and $ \chi_\mathrm{c2} $-to-$ \chi_\mathrm{c1} $ ratio (right) as a function of $ N_{\mathrm{tracks}} $. The red points are for the $ J_{z}(\chi_\mathrm{c1})=0, J_{z}(\chi_\mathrm{c2})= $ 0 scenario, while the green line represents the unpolarized case. The light green band indicates the range of variation in the results due to different polarization conditions. The blue dashed line shows a constant fit to all data points.

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Figure 3:
$ \chi_\mathrm{c} $-to-$ \mathrm{J}/\psi $ ratio (left) and $ \chi_\mathrm{c2} $-to-$ \chi_\mathrm{c1} $ ratio (right) as a function of rapidity $ y_{\mathrm{lab, p}} $. The rapidity is defined in the lab frame, with the p-going direction being positive. The center of mass is shown by the brown dashed line at $y_{\mathrm{CM} } = $ 0.465. The points correspond to the $ J_{z}(\chi_\mathrm{c1})=0, J_{z}(\chi_\mathrm{c2})= $ 0 polarization assumption, while the green line represents the data for the unpolarized case. The right plot includes the pPb LHCb measurement [16] (black).

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Figure 3-a:
$ \chi_\mathrm{c} $-to-$ \mathrm{J}/\psi $ ratio (left) and $ \chi_\mathrm{c2} $-to-$ \chi_\mathrm{c1} $ ratio (right) as a function of rapidity $ y_{\mathrm{lab, p}} $. The rapidity is defined in the lab frame, with the p-going direction being positive. The center of mass is shown by the brown dashed line at $y_{\mathrm{CM} } = $ 0.465. The points correspond to the $ J_{z}(\chi_\mathrm{c1})=0, J_{z}(\chi_\mathrm{c2})= $ 0 polarization assumption, while the green line represents the data for the unpolarized case. The right plot includes the pPb LHCb measurement [16] (black).

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Figure 3-b:
$ \chi_\mathrm{c} $-to-$ \mathrm{J}/\psi $ ratio (left) and $ \chi_\mathrm{c2} $-to-$ \chi_\mathrm{c1} $ ratio (right) as a function of rapidity $ y_{\mathrm{lab, p}} $. The rapidity is defined in the lab frame, with the p-going direction being positive. The center of mass is shown by the brown dashed line at $y_{\mathrm{CM} } = $ 0.465. The points correspond to the $ J_{z}(\chi_\mathrm{c1})=0, J_{z}(\chi_\mathrm{c2})= $ 0 polarization assumption, while the green line represents the data for the unpolarized case. The right plot includes the pPb LHCb measurement [16] (black).

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Figure 4:
$ \chi_\mathrm{c} $-to-$ \mathrm{J}/\psi $ ratio (left) and $ \chi_\mathrm{c2} $-to-$ \chi_\mathrm{c1} $ ratio (right) as a function of $ p_{\mathrm{T}}(\mathrm{J}/\psi) $, shown in red points for the $ J_{z}(\chi_\mathrm{c1})=0, J_{z}(\chi_\mathrm{c2})= $ 0 polarization assumption. The green line shows the same result in the case of no polarization. The results are integrated over all the detector acceptance $ | y_{ \mathrm{lab} } | < $ 2.4, corresponding to $ -$2.9 $ < y_{$ \mathrm{CM} } < $ 1.9 and integrated over the charged-particle multiplicity range. A calculation of the $ \chi_\mathrm{c} $-to-$ \mathrm{J}/\psi $ ratio in the ICEM [46] is shown in the left plot for the unpolarized case (blue band). The $ \chi_\mathrm{c2} $-to-$ \chi_\mathrm{c1} $ ratio in the right plot is compared with existing pp measurements by ATLAS [18] (black diamonds) and CMS [20] (blue crosses).

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Figure 4-a:
$ \chi_\mathrm{c} $-to-$ \mathrm{J}/\psi $ ratio (left) and $ \chi_\mathrm{c2} $-to-$ \chi_\mathrm{c1} $ ratio (right) as a function of $ p_{\mathrm{T}}(\mathrm{J}/\psi) $, shown in red points for the $ J_{z}(\chi_\mathrm{c1})=0, J_{z}(\chi_\mathrm{c2})= $ 0 polarization assumption. The green line shows the same result in the case of no polarization. The results are integrated over all the detector acceptance $ | y_{ \mathrm{lab} } | < $ 2.4, corresponding to $ -$2.9 $ < y_{$ \mathrm{CM} } < $ 1.9 and integrated over the charged-particle multiplicity range. A calculation of the $ \chi_\mathrm{c} $-to-$ \mathrm{J}/\psi $ ratio in the ICEM [46] is shown in the left plot for the unpolarized case (blue band). The $ \chi_\mathrm{c2} $-to-$ \chi_\mathrm{c1} $ ratio in the right plot is compared with existing pp measurements by ATLAS [18] (black diamonds) and CMS [20] (blue crosses).

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Figure 4-b:
$ \chi_\mathrm{c} $-to-$ \mathrm{J}/\psi $ ratio (left) and $ \chi_\mathrm{c2} $-to-$ \chi_\mathrm{c1} $ ratio (right) as a function of $ p_{\mathrm{T}}(\mathrm{J}/\psi) $, shown in red points for the $ J_{z}(\chi_\mathrm{c1})=0, J_{z}(\chi_\mathrm{c2})= $ 0 polarization assumption. The green line shows the same result in the case of no polarization. The results are integrated over all the detector acceptance $ | y_{ \mathrm{lab} } | < $ 2.4, corresponding to $ -$2.9 $ < y_{$ \mathrm{CM} } < $ 1.9 and integrated over the charged-particle multiplicity range. A calculation of the $ \chi_\mathrm{c} $-to-$ \mathrm{J}/\psi $ ratio in the ICEM [46] is shown in the left plot for the unpolarized case (blue band). The $ \chi_\mathrm{c2} $-to-$ \chi_\mathrm{c1} $ ratio in the right plot is compared with existing pp measurements by ATLAS [18] (black diamonds) and CMS [20] (blue crosses).

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Figure 5:
$ \chi_\mathrm{c} $-to-$ \mathrm{J}/\psi $ ratio as a function of $ p_{\mathrm{T}}(\mathrm{J}/\psi) $ for three rapidity ranges defined in the center-of-mass frame: backward rapidity Pb-going direction $ -$2 $ < y_{\mathrm{CM}}(\mathrm{J}/\psi) < - $1 (green), midrapidity $ -$1 $ < y_{\mathrm{CM}}(\mathrm{J}/\psi) < $ 1 (orange), and forward rapidity p-going direction 1 $ < y_{\mathrm{CM}}(\mathrm{J}/\psi) < $ 1.9 (blue).

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Figure 6:
Comparison of our result with previous results from pp collisions, assuming $ J_{z}(\chi_\mathrm{c1})=0, J_{z}(\chi_\mathrm{c2})= $ 0. Left: Comparison of our midrapidity $ p_{\mathrm{T}}(\mathrm{J}/\psi) $ measurement (orange) with the ATLAS results from pp collisions at $ \sqrt{s}= $ 7 TeV at $ |y_{\mathrm{CM}}(\mathrm{J}/\psi)| < $ 0.75 [48] (black). Right: Comparison of the rapidity integrated $ p_{\mathrm{T}}(\mathrm{J}/\psi) $ measurement (red) with the LHCb results from pp collisions at $ \sqrt{s}= $ 7 TeV at a rapidity of 2.0 $ < |y_{\mathrm{CM}}(\mathrm{J}/\psi)| < $ 4.5 [19] (black).

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Figure 6-a:
Comparison of our result with previous results from pp collisions, assuming $ J_{z}(\chi_\mathrm{c1})=0, J_{z}(\chi_\mathrm{c2})= $ 0. Left: Comparison of our midrapidity $ p_{\mathrm{T}}(\mathrm{J}/\psi) $ measurement (orange) with the ATLAS results from pp collisions at $ \sqrt{s}= $ 7 TeV at $ |y_{\mathrm{CM}}(\mathrm{J}/\psi)| < $ 0.75 [48] (black). Right: Comparison of the rapidity integrated $ p_{\mathrm{T}}(\mathrm{J}/\psi) $ measurement (red) with the LHCb results from pp collisions at $ \sqrt{s}= $ 7 TeV at a rapidity of 2.0 $ < |y_{\mathrm{CM}}(\mathrm{J}/\psi)| < $ 4.5 [19] (black).

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Figure 6-b:
Comparison of our result with previous results from pp collisions, assuming $ J_{z}(\chi_\mathrm{c1})=0, J_{z}(\chi_\mathrm{c2})= $ 0. Left: Comparison of our midrapidity $ p_{\mathrm{T}}(\mathrm{J}/\psi) $ measurement (orange) with the ATLAS results from pp collisions at $ \sqrt{s}= $ 7 TeV at $ |y_{\mathrm{CM}}(\mathrm{J}/\psi)| < $ 0.75 [48] (black). Right: Comparison of the rapidity integrated $ p_{\mathrm{T}}(\mathrm{J}/\psi) $ measurement (red) with the LHCb results from pp collisions at $ \sqrt{s}= $ 7 TeV at a rapidity of 2.0 $ < |y_{\mathrm{CM}}(\mathrm{J}/\psi)| < $ 4.5 [19] (black).
Tables

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Table 1:
Muon $ |\eta| $ and $ p_{\mathrm{T}} $ acceptance used in the analysis.

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Table 2:
Overview of the systematic uncertainties.
Summary
We presented the ratio of $ [\sigma (\chi_\mathrm{c1}) \times \mathrm{B}(\chi_\mathrm{c1}\rightarrow{\mathrm{J}/\psi} \gamma) + \sigma(\chi_\mathrm{c2})\times\mathrm{B}(\chi_\mathrm{c1}\rightarrow{\mathrm{J}/\psi} \gamma)] / \sigma({\mathrm{J}/\psi} ) $ and $ [\sigma (\chi_\mathrm{c2}) \times \mathrm{B}(\chi_\mathrm{c2}\rightarrow{\mathrm{J}/\psi} \gamma)] / [\sigma (\chi_\mathrm{c1}) \times \mathrm{B}(\chi_\mathrm{c1}\rightarrow{\mathrm{J}/\psi} \gamma] $ in pPb collisions at $ \sqrt{\smash[b]{s_{\mathrm{NN}}}}= $ 8.16 TeV, reported as a function of charged-particle multiplicity $ N_{\mathrm{tracks}} $, rapidity $ y_{\mathrm{lab, p}}(\mathrm{J}/\psi) $, and transverse momentum $ p_{\mathrm{T}}(\mathrm{J}/\psi) $. The $ \chi_\mathrm{c1} $ and $ \chi_\mathrm{c2} $ states were reconstructed through the decay $ \chi_\mathrm{c} \to \mathrm{J}/\psi \, \gamma \to \mu^{+}\,\mu^{-} + \mathrm{e}^+\,\mathrm{e}^- $. The results were reported in the CMS detector acceptance region 6.5 $ < p_{\mathrm{T}}(\mathrm{J}/\psi) < $ 30 GeV and $ -$2.4 $ < y_{ \mathrm{lab, p} } (\mathrm{J}/\psi) < $ 2.4, corresponding approximately to $ -$2.9 $ < y_{ \mathrm{CM} } (\mathrm{J}/\psi) < $ 1.9 in the proton-nucleon center-of-mass system. The measured $ \chi_\mathrm{c} $-to-$ \mathrm{J}/\psi $ ratio was found to rise from 0.140 $ \pm $ 0.015 (stat) $ \pm $ 0.025 (syst) in the lowest-$ p_{\mathrm{T}} $ bin (6.5 - 9 GeV) to 0.315 $ \pm $ 0.040 (stat) $ \pm $ 0.048 (syst) in the highest-$ p_{\mathrm{T}} $ bin (18 - 30 GeV). The data were compared to a calculation from the ICEM model [46] which describes well the $ p_{\mathrm{T}} $-dependent trend but underpredicts the ratio across the reported range. The $ \chi_\mathrm{c} $-to-$ \mathrm{J}/\psi $ ratio was found to be insensitive to rapidity and $ N_{\mathrm{tracks}} $ within uncertainties. When integrated over the entire accessible $ p_{\mathrm{T}}(\mathrm{J}/\psi) $ range, the ratio is approximately 0.2. We observed no significant dependence of the $ \chi_\mathrm{c2} $-to-$ \chi_\mathrm{c1} $ ratio on $ N_{\mathrm{tracks}} $, $ p_{\mathrm{T}}(\mathrm{J}/\psi) $, or $ y_{\mathrm{lab, p}}(\mathrm{J}/\psi) $. Within uncertainties, we found no significant differences between our $ \chi_\mathrm{c2} $-to-$ \chi_\mathrm{c1} $ ratio results and those in existing pp studies. These findings indicate no strong relative modification between the $ \chi_\mathrm{c} $ states in pPb collisions. We found the $ \chi_\mathrm{c} $-to-$ \mathrm{J}/\psi $ ratio to be consistent with two previous pp measurements at $ \sqrt{\smash[b]{s}}= $ 7 TeV by ATLAS (midrapidity) and LHCb (forward rapidity). The similarity of the $ \chi_\mathrm{c} $-to-$ \mathrm{J}/\psi $ ratio to the pp results indicates no additional modification of $ \chi_\mathrm{c} $ states compared to $ \mathrm{J}/\psi $ in pPb collisions. The lack of dependence of the $ \chi_\mathrm{c} $-to-$ \mathrm{J}/\psi $ ratio on $ N_{\mathrm{tracks}} $, in contrast to the behavior observed in measurements of $ \psi(\mathrm{2S}) $ [49], suggests weaker modification effects for $ \chi_\mathrm{c} $ states compared to the $ \psi(\mathrm{2S}) $ state in pPb collision.
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Compact Muon Solenoid
LHC, CERN