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

Abstract

In order to shed light on saturation property of strange quark systems, energy properties of multi-Q_s cluster systems are studied for baryon number A ≤24 in the constituent quark model, where Q_s means the (1s)¹⁸-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-Q_s 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 Q_s; the appears no sign of energy gain beyond the s-shell region. The implies a tendency against the notion of absolutely stable strange matter.