Abstract
The properties of magnetized color superconducting cold dense quark matter under compact star conditions are investigated using a $SU(2)_f$ Nambu Jona-Lasinio (NJL)-type model in which the divergences are treated using a magnetic field independent regularization scheme in order to avoid unphysical oscillations. We study the phase diagram for several model parametrizations. The features of each phase are analyzed through the behavior of the chiral and superconducting condensates together with the different particle densities for increasing chemical potential or magnetic field. While confirming previous results derived for the zero magnetic field or isospin symmetric matter case, we show how the phases are modified in the presence of $\beta$-equilibrium as well as color and electric charge neutrality conditions.
Highlights
In the last decades, the QCD phase diagram as a function of the temperature and baryon chemical potential has been the focus of intense research [1, 2]
While confirming previous results derived for the zero magnetic field or isospin symmetric matter case, we show how the phases are modified in the presence of β-equilibrium as well as color and electric charge neutrality conditions
We present our results for the properties of cold color superconducting quark matter subject to compact star conditions under the influence of an external magnetic field
Summary
The QCD phase diagram as a function of the temperature and baryon chemical potential has been the focus of intense research [1, 2]. When effective quark-quark interactions are added, quarks can form Cooper pairs that give rise to a variety of color superconducting phases [19, 20] In this context, the effect of a constant magnetic field has been analyzed by several authors [21,22,23,24,25,26,27,28]. The effect of a constant magnetic field has been analyzed by several authors [21,22,23,24,25,26,27,28] At this point, it is important to remark that the local character of the interactions considered in the NJL-type models leads to divergences in the momentum integrals. Many of the existing calculations of the properties of magnetized superconducting quark matter within this type of models remove these divergences by introducing some type of regulator function for each
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