Rapidity and Transverse Mass Spectra of Hadrons in a New Excluded-Volume Model II

Physics – High Energy Physics – High Energy Physics - Phenomenology

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29 pages, 20 figures

Scientific paper

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.

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