Simple solution to the Strangeness Horn description puzzle

. We propose to use the thermal model formulation that employs the multi-component hard-core radii to describe the hadron yield ratios from the low AGS to the highest RHIC energies. It is demonstrated that the variation of the hard-core radii of pions and kaons enable us to drastically improve the fit quality of the measured mid-rapidity data and for the first time to completely describe the Strangeness Horn behavior as the function of the energy of collision without spoiling the fit quality of other ratios. The best global fit is found for an almost vanishing hard-core radius of pions of 0.1fm and for the hard-core radius of kaons being equal to 0.38fm, whereas the hard-core radius of all other mesons is found to be 0.4fm and that one of baryons is equal to 0.2fm. It is argued that the multi-component hadron resonance gas model opens us a principal possibility to determine the second virial coefficients of hadron-hadron interaction.