Abstract

We study energy properties of strange quark matter (SQM) in an approach based on the constituent quark model. In treating the infinite matter, SQM is modeled on a cubic lattice composed of the 1s-closed shell (Q.) clusters, by extending a cluster-theoretical approach previously made for finite strange quark systems of Q.-clusters. The energy per baryon of this SQM monotonically increases as the inter-Qs distance decreases (the density of Q.-clusters as well as the average baryon number density increases). This means that Q.-clusters do not fuse to the Fermi-gas like SQM and favor to be far apart from each other. The mechanism causing such tendency is the following; the repulsive contributions to the inter-Qs energy coming from the kinetic energy and the color magnetic interaction overwhelm the attractive ones from the color electric interaction and, except for the internal energy of Qs, the contributions from a confinement potential play no essential role. The energy of SQM per baryon can never be less than that of a single Q. which is higher by about 400 ~500 MeV than the nucleon mass. Therefore the appearance of the absolutely stable SQM is unlikely in this model. Saturation property of SQM and surface effects are also discussed.

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