Quantizing Magnetic Field and Quark-Hadron Phase Transition in a Neutron Star

Abstract

We investigate the influence of a strong magnetic field on various properties of neutron stars with quark-hadron phase transition. The one-gluon exchange contribution in a magnetic field is calculated in a relativistic Dirac-Hartree-Fock approach. In a magnetic field of $5\ifmmode\times\else\texttimes\fi{}{10}^{18}\mathrm{G}$ in the center of the star, the overall equation of state is softer in comparison to the field-free case resulting in the reduction of maximum mass of the neutron star.