A Cluster-Theoretical Approach to Saturation Property of Strange Quark Systems in Constituent Quark Model

In order to shed light on saturation property of strange quark systems, energy properties of multi Qs cluster systems are studied for baryon number A,,;24 in the constituent quark model, where Qs means the (ls)'8-closed·shell state of u, d, s quarks. Effects due to the one-gluon-exchange and the confinement are incorporated in a potential form. We have found such a general trend that the inter Qs relative energy increases as the clusters tend toward a compact shell-model like configuration, and the total energy is always higher than the sum of the internal energies of Qs; there appears no sign of energy gain beyond the s-shell region. This implies a tendency against the notion of absolutely stable strange matter.