Abstract
The magnetic-color-flavor-locked quark matter is investigated in the Nambu–Jona-Lasinio model. Strong nonuniform magnetic fields are employed in order to mimic the spatial dependence of the magnetic field strength at high densities. We find that the gap solution depends strongly on the diquark coupling interaction. Based on the requirement that the parallel pressure should be an increasing function of the chemical potential, an upper limit on the central magnetic field [Formula: see text][Formula: see text]G is obtained, which increases slightly with the diquark interaction strength. Furthermore, much stronger central magnetic field could occur in the stars composed of magnetic-color-flavor matter than that of ordinary strange quark matter.
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