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The scalar-isoscalar mode of QCD becomes lighter/nearly massless close to thechiral transition/second-order critical point. From nuclear physics we knowthat this mode is the main responsible for the attractive part of thenucleon-nucleon potential at inter-particle distances of 1-2 fm. Therefore oneexpects that close to the critical point there is a long-range strongattraction among nucleons. Using a Walecka-Serot model for the NN potential westudy the effects of the critical point in a finite system of nucleons andmesons by solving classical Molecular Dynamics+Langevin equations for thefreeze-out conditions of heavy-ion collisions. Going beyond the mean-fieldapproximation allows us to account for strong nucleon correlations in the timeevolution, leading to baryon clustering. We observe that light clusterformation, together with an enhancement of higher-order cumulants of the protondistribution can signal the presence of the critical point.

Nuclear correlations and modifications of the nucleon-nucleon potential due to the QCD critical mode