Simple model for rapidity fluctuations in the initial state of ultrarelativistic heavy-ion collisions

Wojciech Broniowski and Piotr Bożek
Phys. Rev. C 93, 064910 – Published 30 June 2016

Abstract

Two-particle pseudorapidity correlations are analyzed in a simple model, where in the initial stage of the reaction multiple sources, extended in rapidity, are created. We show how the fluctuations of the length of the sources in rapidity generate correlations in the initial entropy deposition, which later contribute to the observed longitudinal correlations in hadron production. Our analysis, which is analytic and leads to straightforward formulas, allows us to understand the structure of the correlations, in particular to identify the component related to the fluctuation of the numbers of sources and the component from the length fluctuations. We also present the results in terms of the expansion in the basis of the Legendre polynomials. A number of further effects are discussed, such as smearing of the pseudorapidity distributions or resonance decays. Our results reproduce qualitatively and semiquantitatively the basic features of the recent measurements at the LHC.

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  • Received 10 December 2015
  • Revised 11 April 2016

DOI:https://doi.org/10.1103/PhysRevC.93.064910

©2016 American Physical Society

Physics Subject Headings (PhySH)

Nuclear Physics

Authors & Affiliations

Wojciech Broniowski1,2,* and Piotr Bożek3,†

  • 1The H. Niewodniczański Institute of Nuclear Physics, Polish Academy of Sciences, PL-31-342 Cracow, Poland
  • 2Institute of Physics, Jan Kochanowski University, PL-25-406 Kielce, Poland
  • 3AGH University of Science and Technology, Faculty of Physics and Applied Computer Science, al. Mickiewicza 30, PL-30-059 Cracow, Poland

  • *Wojciech.Broniowski@ifj.edu.pl
  • Piotr.Bozek@fis.agh.edu.pl

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Issue

Vol. 93, Iss. 6 — June 2016

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