One Gluon Exchange Effect on the Saturation Property of Strange Quark Systems in the Bag Model

Abstract

In order to clarify the saturation property of strange quark matter we investigate how the energy per baryon of strange quark matter varies as the baryon number N_b increases, from the viewpoint of the bag model. We incorporate the one-gluon-exchange (OGE) effect in a potential form, which enables us to calculate its contribution to the energy of finite systems beyond the lowest orbital configurations. Calculations have been done for the closed-shell configurations up to N_b ≤24 and the infinite matter. It is found that the OGE effect brings about such a general trend that the energy per baryon increases as N_b gets larger, commonly for a variety of model parameters. This tendency is qualitatively different from the resuls known so far without OGE effect that the energy per baryon is a decreasing function of N_b. This implies that the OGE effect is unfavorable for the existence of absolutely stable strange quark matter, in conformity with the tendency found in a quark cluster model calculation made previously.