Generalized susceptibilities of the net-baryon number based on the three-dimensional Ising universality class*

Abstract Assuming the equilibrium of the Quantum Chromodynamics (QCD) system, we investigate the critical behavior of the sixth-, eighth-, and tenth-order susceptibilities of the net-baryon number through mapping the results in the three-dimensional Ising model to that of QCD. Both the leading and sub-leading critical contributions from the Ising model are discussed. When considering only the leading critical contribution, the density plots of susceptibilities of the same order demonstrate a consistent general pattern independent of the values of the mapping parameters. As the critical point is approached from the crossover side, a negative dip followed by a positive peak is observed in the dependence of the three different orders of susceptibilities. When sub-leading critical contribution is considered, modifications become apparent in the density plots of the susceptibilities. The emergence of negative dips in the dependence of the susceptibilities is not an absolute phenomenon, whereas the positive peak structure is a more robust feature of the critical point.