Strange baryonic matter and kaon condensation

In this contribution we address the question whether kaon condensation could occur in strongly interacting self-bound strange hadronic matter. In our comprehensive dynamical relativistic mean-field (RMF) calculations of nuclear and hypernuclear systems containing several antikaons we found saturation of K̄ separation energy as well as the associated nuclear and K̄ density distributions upon increasing the number of K̄ mesons. The saturation pattern was found to be a universal feature of these multi-strangeness configurations. Since in all cases the K̄ separation energy does not exceed 200 MeV, we conclude that K̄ mesons do not provide the physical "strangeness" degrees of freedom for self-bound strange hadronic matter.