Abstract

The impact of a strong magnetic field, varying with the total baryon number density, on thermodynamic properties of strange quark matter (SQM) in the core of a magnetized hybrid star is considered at zero temperature within the framework of the Massachusetts Institute of Technology (MIT) bag model. It is clarified that the central magnetic field strength is bound from above by the value at which the derivative of the longitudinal pressure with respect to the baryon number density vanishes first somewhere in the quark core under varying the central field. Above this upper bound, the instability along the magnetic field is developed in magnetized SQM. The total energy density, longitudinal and transverse pressures are found as functions of the total baryon number density.

Highlights

  • The study of the QCD phase diagram under extreme conditions of temperature or density is continuing to be a hot research issue

  • The other factor which can significantly influence the structure of the QCD phase diagram is magnetic field

  • The electric charge separation with respect to the reaction plane of colliding nuclei due to the the chiral magnetic effect [3] could be one of the observable imprints of strong magnetic fields generated in heavy-ion collisions

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Summary

Introduction

The study of the QCD phase diagram under extreme conditions of temperature or density is continuing to be a hot research issue. In the MIT bag model, the total energy density E, the longitudinal pl and transverse pt pressures in magnetized quark matter read where M = − thermodynamic is the total magnetization, Ω

Results
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