Probing the "Nutcracker" via HBT Effect in Relativistic Heavy Ion Collisions

We make a quantitative discussion on how clearly the particular geometrical structure of the "nutcracker" scenario can be observed through the particle interferometry experiment.

We apply a full (3+1)-dimensional hydrodynamical model with a first order phase transition to the space-time evolution of hot and dense matter for the non-central relativistic heavy ion collisions. The parameters of the hydrodynamical model can be so tuned as to reveal dynamically the "nutcracked" freeze-out hypersurface. Byusing the numerical solution of the hydrodynamical model, we calculate two-pion correlation functions. In the case of snapshot hypersurfaces which clearly show the nut-shell structure, we find a remarkable behavior at high relative momenta. We discuss the realistic possibility of observing the phenomenon in heavy ion experiments in detail.