S. K. Tiwari, P. K. Srivastava, C. P. Singh
Remarkable success gained by various thermal and statistical approaches in
describing the particle multiplicities and their ratios has emphasized the
formation of a fireball consisting of chemically equilibrated hot and dense
hadron gas (HG) produced in the ultrarelativistic heavy-ion collisions. In an
earlier paper referred as I, we proposed a thermodynamically consistent
excluded-volume model for the HG fireball and we noticed that the model gives a
suitable description for various properties of multiparticle production and
their ratios in the entire range of temperatures and baryon densities.
Furthermore, a numerical calculation indicates that the model respects
causality and the values of the transport coefficients (such as shear viscosity
to entropy ($\eta/s$) ratio, and the speed of sound etc.) suitably match with
the predictions of other HG models. The aim in this paper is to obtain the
variations of freeze-out volume in a slice of unit rapidity i.e. $dV/dy$ as
well as total volume of the fireball with respect to center-of-mass energy
$(\sqrt{S_{NN}})$ and confront our model calculations with the corresponding
thermal freeze-out volume obtained from the Hanbury-Brown-Twiss (HBT) pion
interferometry. We also test the validity of our model in extracting the total
multiplicities as well as the central rapidity densities of various hadrons
such as $\pi^+$, $K^+$, $p$, $\phi$, $\Lambda$, $\Xi^-$, $\Omega^{-}$,
$\bar{\Lambda}$ etc. and in getting the rapidity as well as transverse momentum
distributions of various particles produced in different heavy-ion collider
experiments in order to examine the role of any hydrodynamic flow on them by
matching our predictions with the experimental results.
View original:
http://arxiv.org/abs/1202.4852
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