Upper Bound On the Magnetic Field Strength in the Quark Core of a Strongly-magnetized Compact Star

摘要

Two types of strongly-magnetized compact stars, represented by magnetized strange quark stars and magnetized hybrid stars, are considered. In each case, there exists an upper bound H_(max) on the magnetic field strength in the interior of a compact star. For a magnetized strange quark star, H_(max) is determined by the magnetic field at which the upper bound on the bag pressure from the absolute stability window of magnetized strange quark matter (SQM) vanishes, assuming the Massachusetts Institute of Technology bag model description of SQM. For a hybrid star, H_(max) is represented by the critical magnetic field for the occurrence of a longitudinal (along the magnetic field) instability in the quark core, at which the longitudinal pressure in magnetized SQM vanishes.