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It has been proposed that one can look for the QCD critical point (CP) by theBeam Energy Scan (BES) accurately monitoring event-by-event fluctuations. Thisexperimental program is under way at the BNL RHIC collider. Separately, it hasbeen studied how clustering of nucleons at freezeout affects protonmultiplicity distribution and light nuclei production. It was found that even aminor increase of the range of nuclear forces dramatically increasesclustering, while large correlation length $\xi$ near CP makes attraction dueto binary forces unrealistically large. In this paper we show that repulsivemany-body forces near CP should overcome the binary ones and effectivelysuppress clustering. We also discuss current experimental data and point outlocations at which a certain drop in clustering may already be observed.

Many-body forces and nucleon clustering near the QCD critical point