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    Quantum chromodynamics and the statistical hydrodynamical model of hadron production

    P. Carruthers

    Minh Duong-Van

    • Theoretical Division, Los Alamos National Laboratory, P.O. Box 1662, Los Alamos, New Mexico 87545

    • T. W. Bonner Nuclear Laboratories, Physics Department, Rice University, Houston, Texas 77251

    Phys. Rev. D 28, 130 – Published 1 July, 1983

    DOI: https://doi.org/10.1103/PhysRevD.28.130

    Abstract

    We analyze the Fermi-Landau statistical hydrodynamical model of hadron-hadron multiplicities in the framework of QCD, using the Pokorski—Van Hove model wherein the collision of preexisting glue dominates the multiplicity. It is noted that previous dismissal of the possibility of thermalization in the basis of nuclear "transparency" is circumvented in this picture because the valence quarks pass through, whereas the gluon clouds interact strongly. Assuming that the gluons equilibrate to a thermalized plasmoid within the Fermi-Landau (FL) Lorentz-contracted initial volume, we derive a simple formula for the multiplicity with the form Nch≈2.5f14Whad12 (three flavors excited), where 1−f is the fraction of energy carried away by the leading particles and Whad=fW is the energy left behind. If f were fixed at a constant value of ½, the formula would agree extremely well with data up to and including p¯p collider energies. (The widely held belief that collider multiplicities rule out the Fermi power law was based on the use of W rather than Whad.) However, using the data of Basile et al., in which multiplicities are broken down as a function of Whad for different W values, we find that the f14 dependence is ruled out. We conclude that thermalization of the colliding gluon clouds in the FL volume is also ruled out, although thermalization in the gluon fragmentation and central regions remains a possibility.

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