Relativistic Boltzmann transport approach with Bose-Einstein statistics and the onset of gluon condensation

F. Scardina, D. Perricone, S. Plumari, M. Ruggieri, and V. Greco
Phys. Rev. C 90, 054904 – Published 6 November 2014

Abstract

We study the evolution of a gluon system under conditions of density and temperature similar to those explored in the early stage of ultrarelativistic heavy-ion collisions. We first describe the implementation of the relativistic Boltzmann-Nordheim (RBN) transport approach that includes in the collision integral the quantum effects of Bose-Einstein statistics. Then, we describe the evolution of a spatially uniform gluon system in a box under elastic collisions solving the RBN for various initial conditions. We discuss the critical phase-space density that leads to the onset of a Bose-Einstein condensate (BEC) and the time scale for this process to occur. In particular, thanks to the fact that RBN allows one to relax the small angle approximation, we study the effect at both small and large screening mass mD. For small mDT we see that our solution of RBN is in agreement with the recent extensive studies within a Fokker-Planck scheme in small angle approximation. For the same total cross section but with large mD2T (large angle scatterings), we see a significant time speed-up of the onset of BEC with respect to small mDT. This further strengthens the possibility that at least a transient BEC is formed in the early stage of ultrarelativistic heavy-ion collisions.

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  • Received 6 August 2014

DOI:https://doi.org/10.1103/PhysRevC.90.054904

©2014 American Physical Society

Authors & Affiliations

F. Scardina1,2,*, D. Perricone1,2, S. Plumari1,2, M. Ruggieri1,2, and V. Greco1,2

  • 1Physics and Astronomy Department, University of Catania, Via S. Sofia 64, I-95123 Catania, Italy
  • 2INFN-Laboratori Nazionali del Sud, Via S. Sofia 62, I-95123 Catania, Italy

  • *scardinaf@lns.infn.it

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Vol. 90, Iss. 5 — November 2014

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