Observation of the Charged-Particle Multiplicity Dependence of <math display="inline"><mrow><msub><mrow><mi>σ</mi></mrow><mrow><mi>ψ</mi><mo stretchy="false">(</mo><mn>2</mn><mi>S</mi><mo stretchy="false">)</mo></mrow></msub><mo>/</mo><msub><mrow><mi>σ</mi></mrow><mrow><mi>J</mi><mo>/</mo><mi>ψ</mi></mrow></msub></mrow></math> in <math display="inline"><mi>p</mi></math>-Pb Collisions at 8.16 TeV

Jain, Sandhya;Bein, Samuel;Benecke, Anna;Bethani, Agni;CMS;et.al.
(2025) Physical Review Letters — Vol. 135 (2025)

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Abstract
Bound states of charm and anticharm quarks, known as charmonia, have a rich spectroscopic structure that can be used to probe the dynamics of hadron production in high-energy hadron collisions. Here, the cross section ratio of excited <math display="inline"><mo stretchy="false">(</mo><mrow><mi>ψ</mi><mo stretchy="false">(</mo><mrow><mn>2</mn><mi>S</mi></mrow><mo stretchy="false">)</mo></mrow><mo stretchy="false">)</mo></math> and ground state <math display="inline"><mo stretchy="false">(</mo><mrow><mi>J</mi><mo>/</mo><mi>ψ</mi></mrow><mo stretchy="false">)</mo></math> vector mesons is measured as a function of the charged-particle multiplicity in proton-lead (<math display="inline"><mrow><mi>p</mi><mi>Pb</mi></mrow></math>) collisions at a center-of-mass (CM) energy per nucleon pair of 8.16 TeV. The data corresponding to an integrated luminosity of <math display="inline"><mn>175</mn><mtext> </mtext><mtext> </mtext><msup><mi>nb</mi><mrow><mo>-</mo><mn>1</mn></mrow></msup></math> were collected using the CMS detector. The ratio is measured separately for prompt and nonprompt charmonia in the transverse momentum range <math display="inline"><mn>6.5</mn><mo>&lt;</mo><msub><mi>p</mi><mi mathvariant="normal">T</mi></msub><mo>&lt;</mo><mn>30</mn><mtext> </mtext><mtext> </mtext><mi>GeV</mi></math> and in four rapidity ranges spanning <math display="inline"><mo>-</mo><mn>2.865</mn><mo>&lt;</mo><msub><mi>y</mi><mi>CM</mi></msub><mo>&lt;</mo><mn>1.935</mn></math>. For the first time, a statistically significant multiplicity dependence of the prompt cross section ratio is observed in proton-nucleus collisions. There is no clear rapidity dependence in the ratio. The prompt measurements are compared with a theoretical model which includes interactions with nearby particles during the evolution of the system. These results provide additional constraints on hadronization models of heavy quarks in nuclear collisions.
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Jain, S., Bein, S., Benecke, A., Bethani, A., Bruno, G., Caputo, C., de Favereau de Jeneret, J., Delaere, C., Donertas, I. S., Giammanco, A., Guzel, A. O., Jain, S., Lemaitre, V., Lidrych, J., Mastrapasqua, P., Tran, T. T., Turkcapar, S., CMS, & et al. (2025). Observation of the Charged-Particle Multiplicity Dependence of <math display=“inline”><mrow><msub><mrow><mi>σ</mi></mrow><mrow><mi>ψ</mi><mo stretchy=“false”>(</mo><mn>2</mn><mi>S</mi><mo stretchy=“false”>)</mo></mrow></msub><mo>/</mo><msub><mrow><mi>σ</mi></mrow><mrow><mi>J</mi><mo>/</mo><mi>ψ</mi></mrow></msub></mrow></math> in <math display=“inline”><mi>p</mi></math>-Pb Collisions at 8.16 TeV. Physical Review Letters, 135. https://doi.org/10.1103/c9wp-5tq3 (Original work published 2025)