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16 April 2024 |
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Hadron Resonance Gas Model for An Arbitrarily Large Number of Different Hard-Core Radii | | D. R. Oliinychenko
; K. A. Bugaev
; V. V. Sagun
; A. I. Ivanytskyi
; I. P. Yakimenko
; E. G. Nikonov
; A.V. Taranenko
; G. M. Zinovjev
; | | Date: |
20 Nov 2016 | | Abstract: | We develop a novel formulation of the hadron-resonance gas model which,
besides a hard-core repulsion, explicitly accounts for the surface tension
induced by the interaction between the particles. Such an equation of state
allows us to go beyond the Van der Waals approximation for any number of
different hard-core radii. A comparison with the Carnahan-Starling equation of
state shows that the new model is valid for packing fractions 0.2-0.22, while
the usual Van der Waals model is inapplicable at packing fractions above
0.11-0.12. Moreover, it is shown that the equation of state with induced
surface tension is softer than the one of hard spheres and remains causal at
higher particle densities. The great advantage of our model is that there are
only two equations to be solved and it does not depend on the various values of
the hard-core radii used for different hadronic resonances. Using this novel
equation of state we obtain a high-quality fit of the ALICE hadron
multiplicities measured at center-of-mass energies of 2.76 TeV per nucleon.
Furthermore, using the traditional hadron-resonance gas model with
multi-component hard-core repulsion and the novel one we investigate the model
recently suggested by Vovchenko and Stoecker, in which the proper volume of a
hadron is proportional to its mass. We find that the high-temperature maximum
of $chi^2/dof$ observed by Vovchenko and Stoecker is due to the fact that they
use the Van der Waals approximation far beyond the limit of its applicability. | | Source: | arXiv, 1611.7349 | | Services: | Forum | Review | PDF | Favorites | |
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