Analyses of the collective properties of hadronic matter in Au-Au collisions at 54.4 GeV

We investigated the strange hadrons transverse momentum (pT) spectra in Au-Au collision at sNN=54.4 GeV in the framework of modified Hagedorn function with embedded flow. It is found that the model can describe the particle spectra well. We extracted the kinetic freeze-out temperature T0, transverse flow velocity βT, kinetic freeze-out volume V, mean transverse momentum «pT», the entropy parameter n, and the multiplicity parameter N0. We reported that all these parameters increase towards the central collisions. The larger kinetic freeze-out temperature, transverse flow velocity, kinetic freeze-out volume, and the entropy parameter (n) in central collisions compared to peripheral collisions show the early decoupling of the particles in central collisions. In addition, all the above parameters are mass dependent. The kinetic freeze-out temperature (T0), the entropy parameter n, and mean transverse momentum («pT») are larger for massive particles, while the transverse flow velocity (βT), kinetic freeze-out volume (V), and the multiplicity parameter (N0) show the opposite behavior. Larger T0, n, and smaller βT as well as V of the heavier particles indicate the early freeze-out of the heavier particles, while larger «pT» for the heavier particles evince that the effect of radial flow is stronger in heavier particles. The separate set of parameters for each particle shows the multiple kinetic freeze-out scenario, where the mass-dependent kinetic freeze-out volume shows the volume differential freeze-out scenario. We also checked the correlation among different parameters, which include the correlation of T0 and βT, T0 and V, βT and V, «pT» and T0, «pT» and βT, «pT», and V, n and T0, n and βT, and n and V, and they all are observed to have positive correlations with each other which validates our results.