Exploring ${}^3{P}_0$ Superfluid in Dilute Spin-Polarized Neutron Matter

Abstract

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.

arXiv comment7 pages, 3 figures

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Cited by in corpus (2)

• Polaronic neutron in dilute alpha matter: A $p$-wave Bose polaron
• Phase transitions in the inner crust of neutron stars within the superfluid band theory: Competition between ${}^1{\text{S}}_0$ pairing and spin polarization under finite temperature and magnetic field