Magnetic properties of quantized vortices in neutron P2 3 superfluids in neutron stars

We discuss quantized vortices in neutron P23 superfluids, which are believed to realize in high density neutron matter such as neutron stars. By using the Ginzburg-Landau free energy for P23 superfluids, we determine the ground state in the absence and presence of the external magnetic field, and numerically construct P23 quantized vortices in the absence and presence of the external magnetic field along the vortex axis (poloidal) or angular direction (toroidal). We find in certain situations the spontaneous magnetization of the vortex core, whose typical magnitude is about 107-8 G, but the net magnetic field in a neutron star is negligible because of the ratio of the vortex core size ∼10fm and the intervortex distance ∼10-6m in a vortex lattice.