Centrality and system size dependence of (multi-strange) hyperons at 40A and 158A GeV: A comparison between a binary collision model and a Boltzmann + hydrodynamic hybrid model

We present results on the centrality and system size dependence of (multi-strange) hyperons in $\mathrm{Pb}+\mathrm{Pb}$ collisions at $40A$ and $158A$ GeV from the Ultra-relativistic Quantum Molecular Dynamics (UrQMD-v2.3) model and a coupled Boltzmann $+$ hydrodynamics calculation. The second approach is realized in a hybrid fashion based on UrQMD, with an intermediate hydrodynamical evolution for the hot and dense stage of the collision. This implementation allows a comparison of microscopic transport calculations with hydrodynamic simulations to explore the transition from a system that is not fully equilibrated, such as $\mathrm{C}+\mathrm{C}$ or $\mathrm{Si}+\mathrm{Si}$ collisions, to a supposedly fully equilibrated system, such as that created in $\mathrm{Pb}+\mathrm{Pb}$ reactions. The results of our calculations are compared to measurements of the (anti-)hyperon yields at midrapidity ($|y|\ensuremath{\leqslant}0.5$) and total multiplicities performed by the NA49 and NA57 Collaborations at $40A$ and $158A$ GeV. Furthermore, we compare our predictions to the centrality dependence of $\ensuremath{\Lambda},\overline{\ensuremath{\Lambda}}$, and ${\ensuremath{\Xi}}^{\ensuremath{-}}$ rapidity spectra and total multiplicities at $40A$ and $158A$ GeV, where possible.