The quasiparticle model is extended to investigate the properties of strange quark matter in a strong magnetic field at finite densities. For the density-dependent quark mass, self-consistent thermodynamic treatment is obtained with an additional effective bag parameter, which depends not only on the density but also on the magnetic field strength. The magnetic field makes strange quark matter more stable energetically when the magnetic field strength is less than a critical value of the order 10 7 Gauss depending on the QCD scale Λ. Instead of being a monotonic function of the density for the QCD scale parameter Λ > 126 MeV, the effective bag function has a maximum near 0.3 ∼ 0.4 fm −3 . The influence of the magnetic field and the QCD scale parameter on the stiffness of the equation of state of the magnetized strange quark matter and the possible maximum mass of strange stars are discussed.
Recently, an extended quark quasi-particle model has been proposed with an effective bag function due to the medium effect. The bag function is associated with the quark chemical potential and the radius of strangelets. We argue that the surface term of the bag function has a positive or negative contribution to the strangelet energy depending on the coupling constant range. Two regions of the coupling strength are divided by a special value g c = 2.7 of the approximation. At different coupling constants, the relations of the redefined surface tension with the radius and baryon number of strangelets are shown. For smaller strangelets, the surface tension is dominated sensitively by the coupling constant. However, for larger strangelets, finite-size effects have a weak influence and the surface tension is generally in the vicinity of 20 ∼ 40 MeV fm −2 .
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