On the Higher Moments of Particle Multiplicity, Chemical Freeze-Out and QCD Critical Endpoint

Tawfik, A.

doi:10.1155/2013/574871

On the Higher Moments of Particle Multiplicity, Chemical Freeze-Out and QCD Critical Endpoint

A. Tawfik
(
- Egyptian Ctr. Theor. Phys., Cairo and
- Freie U., Berlin
)

May, 2012

22 pages

Published in:

Adv.High Energy Phys. 2013 (2013) 574871

Published: 2013

e-Print:

1205.1761 [hep-ph]

DOI:

10.1155/2013/574871

Report number:

ECTP-2012-01

View in:

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Abstract: (HINDAWI)

We calculate the first six nonnormalized moments of particle multiplicity within the framework of the hadron resonance gas model. In terms of the lower order moments and corresponding correlation functions, general expressions of higher order moments are derived. Thermal evolution of the first four normalized moments and their products (ratios) are studied at different chemical potentials, so that it is possible to evaluate them at chemical freeze-out curve. It is found that a nonmonotonic behaviour reflecting the dynamical fluctuation and strong correlation of particles starts to appear from the normalized third order moment. We introduce novel conditions for describing the chemical freeze-out curve. Although the hadron resonance gas model does not contain any information on the criticality related to the chiral dynamics and singularity in the physical observables, we are able to find out the location of the QCD critical endpoint at MeV and temperature MeV.

Note:

18 pages, 16 figures with 36 eps graphs

74.40.Gh
05.70.Fh
Fluctuation phenomena non-equilibrium processes
Phase transitions in statistical mechanics and thermodynamics
freeze-out: chemical
particle: multiplicity
hadron: resonance: gas
entropy: density
quantum chromodynamics
correlation function

References(87)

Figures(36)

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