Abstract
In this paper, incorporating the property of the vacuum negative pressure, namely, the bag constant, we presented a new model of the equation of state (EOS) of quark matter at finite chemical potential and zero temperature. By comparing our EOS with Fraga {\it et~al.}'s EOS and SQM1 model, one find that our EOS is softer than Fraga {\it et~al.}'s EOS and SQM1 model. The reason for this difference is analyzed. With these results we investigate the structure of quark star. A comparison between our model of quark star and other models is made. The obtained mass of quark star is $ 1.3 \sim 1.66 M_\odot$ and the radius is $9.5 \sim 14 Km$. One can see that our star's compactness is smaller than that of other two models.
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