Multiplicity-dependent saturation momentum in p-Pb collisions at 5.02 TeV

Takeshi Osada
Phys. Rev. C 103, 024911 – Published 22 February 2021

Abstract

Semi-inclusive transverse momentum spectra observed in proton-proton and proton-lead nuclear collisions at LHC energies obey a geometric scaling with a scaling variable using multiplicity-dependent saturation momentum. The saturation momentum extracted from the experimental data is proportional to the 1/6 power of the hadron multiplicity in the final state. However, the system's transverse size is proportional to the 1/3 power of the multiplicity, and the saturation momentum and the transverse size of the system are strongly correlated with the hadron multiplicity in the final state. Since the saturation momentum is proportional to the average transverse momentum of hadrons, one predicts average transverse momentum is also proportional to the 1/6 power of the multiplicity, which is consistent with experimental results at the LHC energy. It is also found that a nuclear modification factor RpPb calculated by the multiplicity-dependent saturation momentum decreases in pT 1 GeV/c and that the RpPb's behavior thought to be caused by nuclear shadowing can partially explained. However, Cronin enhancement experimentally observed at 2pT 6 GeV/c is not reproduced. However, the experimental result, including the Cronin effect, can be reproduced well by introducing pT dependence as at most 4–5% correction to the multiplicity-dependent saturation momentum. The relationship between the geometric scaling in the semi-inclusive distributions and the string percolation model is also discussed.

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  • Received 3 November 2020
  • Revised 13 January 2021
  • Accepted 2 February 2021

DOI:https://doi.org/10.1103/PhysRevC.103.024911

©2021 American Physical Society

Physics Subject Headings (PhySH)

Nuclear Physics

Authors & Affiliations

Takeshi Osada*

  • Department of Natural Sciences, Faculty of Science and Engineering, Tokyo City University, Tamazutsumi 1-28-1, Setagaya-ku, Tokyo 158-8557, Japan

  • *t-osada@tcu.ac.jp

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Issue

Vol. 103, Iss. 2 — February 2021

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