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  • Open Access

Multiplicity dependence of quarkonia production at ultrahigh energies

E. Levin*

  • Department of Particle Physics, School of Physics and Astronomy, Raymond and Beverly Sackler Faculty of Exact Science, Tel Aviv University, Tel Aviv, 69978, Israel

  • *Contact author: leving@tauex.tau.ac.il
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Phys. Rev. D 113, 034033 – Published 27 February, 2026

DOI: https://doi.org/10.1103/wskj-72dw

Abstract

In this paper, we propose an approach in high-energy QCD, which allows us to calculate the inclusive quarkonia production at ultrahigh energies. This approach is based on t-channel unitarity and on the expressions for dipole densities from the procedure of summing of large Pomeron loops we have developed in our previous papers. In the framework of this approach, we discuss the dependence of quarkonia production on the multiplicity of the accompanying hadrons. In this paper, we used the three gluon- fusion mechanism for quarkonia production, without assuming the multiplicity dependence of the saturation scale. We found the multiplicity distribution of the produced gluon with (PnJ/Ψ) and without (Pngluon) the quarkonia production. It turns out that PnJ/ΨPngluon∝n2, as has been expected and discussed in corresponding publications.

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Phys. Rev. D 113, 034033– Published 27 February, 2026
  • Received 5 December 2025
  • Accepted 22 January 2026
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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.

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