Spin polarization versus color–flavor locking in high-density quark matter

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It is shown that spin polarization with respect to each flavor in three-flavor quark matter occurs instead of color–flavor locking at high baryon density by using the Nambu–Jona-Lasinio model with four-point tensor-type interaction. Also, it is indicated that the order of phase transition between the color–flavor-locked phase and the spin-polarized phase is the first order by means of second-order perturbation theory.