Stability of magnetized strange quark matter in the MIT bag model with the density dependent bag pressure

Abstract

The stability of magnetized strange quark matter (MSQM) is studied in the MIT bag model with the density dependent bag pressure. In the consistent thermodynamic description of MSQM, the quark chemical potentials, the total thermodynamic potential and the anisotropic pressure acquire the corresponding additional term proportional to the density derivative of the bag pressure. The model parameter space is determined, for which MSQM is absolutely stable, i.e., its energy per baryon is less than that of the most stable ${}^{56}$Fe nucleus under the zero external pressure and vanishing temperature. It is shown that there exists the magnetic field strength $H_{umax}$ at which the upper bound $B_{\infty }^u$ on the asymptotic bag pressure $B_{\infty }\equiv B({\varrho }_B\gg {\varrho }_0$) (${\varrho }_0$ being the nuclear saturation density) from the absolute stability window vanishes. The value of this field, \hbox{$H_{umax}\sim$$(1$--$3)\cdot 10^{18}$}~G, represents the upper bound on the magnetic field strength, which can be reached in a strongly magnetized strange quark star. It is clarified how the absolute stability window and upper bound on the magnetic field strength are affected by varying the parameters in the Gaussian parametrization for the density dependence of the bag pressure.

14 pages, 2 figures

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Cited by in corpus (14)

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• Relativistic strange stars in Tolman-Kuchowicz spacetime
• General relativistic polytropes in anisotropic stars
• Density dependent quark mass model revisited: Thermodynamic consistency, stability windows and stellar properties
• Revisiting Vaidya-Tikekar stellar model in the linear regime
• Compact stellar models in modified gravity
• Constraints on Density Dependent MIT Bag Model Parameters for Quark and Hybrid Stars
• Model of hybrid star with baryonic and strange quark matter in Tolman-Kuchowicz spacetime
• Stability Analysis of Relativistic Polytropes
• Landau quantization and spin polarization of cold magnetized quark matter
• Strange quark matter and proto-strange stars in an equivaparticle model
• Relativistic anisotropic stars with the polytropic equation of state in general relativity
• Stability Analysis Of Fractional Relativistic Polytropes
• Effects of Strong Magnetic Fields on the Hadron-Quark Deconfinement Transition