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We develop a novel formulation of the hadron-resonance gas model which,besides a hard-core repulsion, explicitly accounts for the surface tensioninduced by the interaction between the particles. Such an equation of stateallows us to go beyond the Van der Waals approximation for any number ofdifferent hard-core radii. A comparison with the Carnahan-Starling equation ofstate shows that the new model is valid for packing fractions 0.2-0.22, whilethe usual Van der Waals model is inapplicable at packing fractions above0.1-0.11. Moreover, it is shown that the equation of state with induced surfacetension is softer than the one of hard spheres and remains causal at higherparticle densities. The great advantage of our model is that there are only twoequations to be solved and it does not depend on the various values of thehard-core radii used for different hadronic resonances. Using this novelequation of state we obtain a high-quality fit of the ALICE hadronmultiplicities measured at center-of-mass energies of 2.76 TeV per nucleon.Furthermore, using the traditional hadron-resonance gas model withmulti-component hard-core repulsion and the novel one we investigate therecently suggested model in which the proper volume of a hadron is proportionalto its mass. We find that the high-temperature maximum of $\chi^2/ndf$ observedin the latter model always appears in the region located far above the limit ofits applicability.

Hadron Resonance Gas Model for An Arbitrarily Large Number of Different Hard-Core Radii