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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.

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