Exploring $^3P_0$ Superfluid in Dilute Spin-Polarized Neutron Matter

Kavli Affiliate: Mamoru Matsuo

| First 5 Authors: Hiroyuki Tajima, Hiroshi Funaki, Yuta Sekino, Nobutoshi Yasutake, Mamoru Matsuo

| Summary:

We study the theoretical possibility of $^3P_0$ 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 $^1S_0$ neutron superfluid can be exhausted by a strong
magnetic field of the compact star. At low-energy limit relevant for dilute
neutron matter, the $^3P_0$ interaction is stronger than the $^3P_2$ 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 $^3P_0$
neutron superfluid, which exceeds $10^7$~K.

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