Domain walls in neutron ${}^3{P}_2$ superfluids in neutron stars

Abstract

We work out domain walls in neutron ${}^3{P}_2$ superfluids realized in the core of neutron stars. Adopting the Ginzburg-Landau (GL) theory as a bosonic low-energy effective theory, we consider configurations of domain walls interpolating ground states, i.e., the uniaxial nematic (UN), D${}_2$-biaxial nematic (D${}_2$-BN), and D${}_4$-biaxial nematic (D${}_4$-BN) phases in the presence of zero, small and large magnetic fields, respectively. We solve the Euler-Lagrange equation from the GL free energy density, and calculate surface energy densities of the domain walls. We find that one extra Nambu-Goldstone mode 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${}_2$-BN phase and all domain walls in the D${}_4$-BN phase. Considering a pile of domain walls in the neutron stars, we find that the most stable configurations are domain walls perpendicular to the magnetic fields piled up in the direction along the magnetic fields in the D${}_2$-BN and D${}_4$-BN phases. We estimate the energy released from the deconstruction of the domain walls in the edge of a neutron star, and show that it can reach an astrophysical scale such as glitches in neutron stars.

31 pages, 12 figures

References in corpus (25)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Shapiro delay measurement of a two solar mass neutron star
• A Massive Pulsar in a Compact Relativistic Binary
• Rapid Cooling of the Neutron Star in Cassiopeia A Triggered by Neutron Superfluidity in Dense Matter
• All Exact Solutions of a 1/4 Bogomol'nyi-Prasad-Sommerfield Equation
• Superfluidity and Superconductivity in Neutron Stars
• Creating vortons and three-dimensional skyrmions from domain wall annihilation with stretched vortices in Bose-Einstein condensates
• Spin Polarized Asymmetric Nuclear Matter and Neutron Star Matter Within the Lowest Order Constrained Variational Method
• Quasi-Nambu-Goldstone Modes in Bose-Einstein Condensates
• Anyonic particle-vortex statistics and the nature of dense quark matter
• Nuclear pairing from microscopic forces: singlet channels and higher-partial waves
• Colorful boojums at the interface of a color superconductor
• Analogues of D-branes in Bose-Einstein condensates
• Collective modes of the order parameter in a triplet superfluid neutron liquid
• Topology and symmetry of surface Majorana arcs in cyclic superconductors
• Reexamining Ginzburg-Landau theory for neutron ${}^3{P}_2$ superfluidity in neutron stars
• Zero sound in triplet-correlated superfluid neutron matter
• Neutrino emissivity of anisotropic neutron superfluids
• Phase structure of neutron ${}^3{P}_2$ superfluids in strong magnetic fields in neutron stars
• Possible Ferromagnetism in the Large N(c) and N(f) limit of quark matter
• New eigen-mode of spin oscillations in the triplet superfluid condensate in neutron stars
• Possibility of ferromagnetic neutron matter
• Quark-Hadron Crossover with Vortices
• Effects of strong magnetic fields on neutron ${}^3{P}_2$ superfluidity with spin-orbit interactions
• Topological spinor vortex matter on spherical surface induced by non-Abelian spin-orbital-angular-momentum coupling

Cited by in corpus (15)

• Insights into the physics of neutron star interiors from pulsar glitches
• Microscopic description of axisymmetric vortices in ${}^3{P}_2$ superfluids
• Critical endpoint and universality class of neutron ${}^3{P}_2$ superfluids in neutron stars
• Non-Abelian Half-Quantum Vortices in ${}^3{P}_2$ Topological Superfluids
• Coexistence phase of ${}^1{S}_0$ and ${}^3{P}_2$ superfluids in neutron stars
• Spin-polarized phases of ${}^3{P}_2$ superfluids in neutron stars
• Core structures of vortices in Ginzburg-Landau theory for neutron ${}^3{P}_2$ superfluids
• Exhausting all exact solutions of BPS domain wall networks in arbitrary dimensions
• Scattering of metastable lumps in a model with a false vacuum
• Proximity effects of vortices in neutron ${}^3{P}_2$ superfluids in neutron stars: Vortex core transitions and covalent bonding of vortex molecules
• Exact solutions of domain wall junctions in arbitrary dimensions
• Strongly interacting matter in extreme magnetic fields
• Symmetry classification of uniform states in spin-2 Bose-Einstein condensates and neutron ${}^3{P}_2$ superfluids
• Emergent chirality and superfluidity of parity-doubled baryons in neutron stars
• Distributed vorticity model for vortex molecule dynamics