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We work out domain walls in neutron $^{3}P_{2}$ superfluids realized in thecore of neutron stars. Adopting the Ginzburg-Landau (GL) theory as a bosoniclow-energy effective theory, we consider configurations of domain wallsinterpolating ground states, i.e., the uniaxial nematic (UN), D$_{2}$-biaxialnematic (D$_{2}$-BN), and D$_{4}$-biaxial nematic (D$_{4}$-BN) phases in thepresence of zero, small and large magnetic fields, respectively. We solve theEuler-Lagrange equation from the GL free energy density, and calculate surfaceenergy densities of the domain walls. We find that one extra Nambu-Goldstonemode is localized in the vicinity of a domain wall in the UN phase while a U(1)symmetry restores in the vicinity of one type of domain wall in the D$_{2}$-BNphase and all domain walls in the D$_{4}$-BN phase. Considering a pile ofdomain walls in the neutron stars, we find that the most stable configurationsare domain walls perpendicular to the magnetic fields piled up in the directionalong the magnetic fields in the D$_{2}$-BN and D$_{4}$-BN phases. We estimatethe energy released from the deconstruction of the domain walls in the edge ofa neutron star, and show that it can reach an astrophysical scale such asglitches in neutron stars.

Domain walls in neutron $^{3}P_{2}$ superfluids in neutron stars