on the final HBT radii are almost totally washed out in all directions and at all investigated energies.

![Excitation function of the $R_O/R_S$ ratio at $k_T=250$MeV$/c$. The NA49 data are indicated by solid stars [@Alt:2007uj]. UrQMD cascade calculation is shown by dotted line. Hybrid model calculations with EoS of HG, BM, and CH and with HR are shown by lines with solid symbols (the default hydro-freeze-out criteria (GF, $5\cdot\varepsilon_0$) are used). In the HG-EoS mode, various criteria of freeze-out, (IF, $5\cdot
\varepsilon_0$) and (GF, $4\cdot \varepsilon_0$) with HR, and the default (GF, $5\cdot\varepsilon_0$) without HR are shown by dashed lines with open symbols.[]{data-label="HBT-fig4"}](HBT-fig4.eps){width="48.00000%"}

Let us finally explore the dependence of the $R_O/R_S$ ratio on the different EoS and freeze-out prescriptions. This ratio was expected to be sensitive to the duration time of the homogeneity region. In Fig. \[HBT-fig4\] the excitation function of the $R_O/R_S$ ratio with the different EoS (lines with solid symbols) and freeze-out prescriptions (dashed lines with open symbols) are shown. The $k_T$ bin $200-300$MeV$/c$ is chosen. The result for the pure cascade calculation is also shown as a baseline (dotted line). It is seen clearly that the $R_O/R_S$ ratio is sensitive to the EoS, but not to 