We explore the theoretical possibility of ${}^{3}P_0$ neutron superfluid in dilute spin-polarized neutron matter, which may be relevant to the crust region of a magnetized neutron star. In such a dilute regime where the neutron Fermi energy is less than 1 MeV, the ${}^{1}S_0$ neutron superfluid can be suppressed by a strong magnetic field of the compact star. In the low-energy limit relevant for dilute neutron matter, the ${}^{3}P_0$ interaction is stronger than the ${}^{3}P_2$ one which is believed to induce the triplet superfluid in the core. We present the ground-state phase diagram of dilute neutron matter with respect to the magnetic field and numerically estimate the critical temperature of the ${}^{3}P_0$ neutron superfluid, which is found to exceed ${10}^7$ K.

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• Nuclear astrophysics
• Nuclear matter in neutron stars
• Spin polarization
• Spin-triplet pairing
• p-wave
• Superfluids