The Single Flavor Color Superconductivity in a Magnetic Field

TL;DR

This paper explores how certain nonspherical color superconducting phases in single-flavor quark matter can exist in strong magnetic fields, relevant for the conditions inside compact stars, due to the absence of electromagnetic Meissner effect.

Contribution

It demonstrates that nonspherical CSC phases are energetically favorable in magnetic fields, expanding understanding of quark matter phases in astrophysical environments.

Findings

Nonspherical phases do not incur energy costs from magnetic flux exclusion.

These phases occupy significant regions in the phase diagram under stellar conditions.

Potential realization of these phases inside compact stars.

Abstract

We investigate the single flavor color superconductivity in a magnetic field. Because of the absence of the electromagnetic Meissner effect, forming a nonspherical CSC phase, polar, A or planar, does not cost energy of excluding magnetic flux. We found that these nonspherical phases do occupy a significant portion of the phase diagram with respect to magnetic field and temperature and may be implemented under the typical quark density and the magnetic field inside a compact star.