Signatures of critical sigma-clusters in heavy ion collisions

Approaching the QCD critical point in an experiment with colliding heavy-io ns we expect the formation of a condensate build-up from masssless sigma-pa rticles organized in clusters with prescribed fractal geometry. As the syst em freezes the mass of the a's increases and they decay into pious when it reaches the two-pion threshold. We show that with a suitable algorithm we c an reconstruct the sigma-particle spectrum, carrying the critical propertie s, from the produced charged pions. Performing a factorial moment analysis in the momentum space distribution of the reconstructed sigma 's rye observ e an enhancement of the corresponding intermittency exponents, relative to the results in the pionic analysis. indicating the presence of strong criti cal fluctuations in the sigma-sector. We suggest therefore to use this reco nstruction scheme in order to explore the QCD critical point in experiments with heavy ions.