Abstract
We present a novel equation of state which is based on the virial expansion for the multicomponent mixtures with hard core repulsion. The suggested equation of state explicitly contains the surface tension which is induced by particle interaction. At high densities such a surface tension vanishes and in this way it switches the excluded volume treatment of hard core repulsion to its eigen volume treatment. The great advantage of the developed model is that the number of equations to be solved is two and it does not depend on the number of independent hard-core radii. Using the suggested equation of state we obtained a high quality fit of the hadron multiplicities measured at AGS, SPS, RHIC and ALICE energies and studied the properties of the nuclear matter phase diagram. It is shown the developed equation of state is softer than the gas of hard spheres and remains causal up to the several normal nuclear densities. Therefore, it could be applied to the neutron star interior modeling.
Highlights
Investigation of the strongly interacting matter equation of state (EoS) is in focus of several physical communities
In the vast majority of models such a repulsion is treated using the Van der Waals approach which is inapplicable at the particle densities that are close to the transition region to quark gluon plasma (QGP)
As it was shown in [1] a possible solution of this problem requires to account for the fact that at low densities an interparticle hard-core repulsion is well described by the excluded volume approximation, whereas the high density regime is controlled by the eigen volume of particles
Summary
Investigation of the strongly interacting matter equation of state (EoS) is in focus of several physical communities. The problem is rooted in the wrong values of the third, the fourth and higher virial coefficients generated by the Van der Waals EoS As it was shown in [1] a possible solution of this problem requires to account for the fact that at low densities an interparticle hard-core repulsion is well described by the excluded volume approximation, whereas the high density regime is controlled by the eigen volume of particles. The Van der Waals prescription is unable to switch between these two regimes and, it requires for an improvement Another problem which is typical for all EoS with the hard-core repulsion is their non-causal behavior at high particle densities.
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