the various hydrodynamic freeze-out prescriptions when including HR (shown as open triangles and open inverted triangles) as it has already been implied from the results of the HBT radii shown in Figs. \[HBT-fig1\] and \[HBT-fig3\]. With increasing latent heat which corresponds to the softness of EoS implied from Fig.\[press\_t\], the $R_O/R_S$ ratio is increased. The “excessively” large latent heat in BM-EoS results in a long duration time of the pion source and hence a large $R_O/R_S$ ratio. Although the overall height is largely overpredicted by the BM-EoS, the qualitative behaviour of the data (with a maximal lifetime at beam energies around $40-100A$ GeV) is well reproduced. In addition, the “peak structure” is less pronounced than in previous predictions [@Rischke:1996em], due to the different initial state and seems to provide a more reasonable estimate of the magnitude of the lifetime enhancement. The chiral EoS CH exhibits a lower $R_O/R_S$ ratio because the first-order phase transition is less pronounced. The calculation with HG mode (line with solid squares) leads to the smallest $R_O/R_S$ ratio due to the most stiffest EoS among the three ones. The result of the cascade calculation lies in between the CH and the BM modes, which implies a 