Effects of hadronic repulsive interactions on the fluctuations of conserved charges

We investigate the effect of repulsive interaction between hadrons on the fluctuations of the conserved charges. We calculate the baryon, the electric charge, and the strangeness susceptibilities within the ambit of hadron resonance gas model extended to include the short range repulsive interactions. The repulsive interactions are included through a mean-field approach where the single particle energy gets modified due to mean-field interactions between hadrons proportional to the number density of hadrons. We assume different mean-field interactions for mesons and baryons. It is shown that the repulsive interactions play a very crucial role to describe hadronic matter near transition temperature. We also show that in order to consistently describe higher order conserved charge fluctuations mesonic repulsive interactions cannot be neglected. Further, we demonstrate that the repulsive interaction of baryons is essential to describe the lattice simulation results at finite baryon chemical potential for higher order fluctuations.