Effects of strong magnetic fields on neutron ³P₂ vortices in LS potentials

 We face an age that the inner structures of neutron stars can be studied by a variety of probes as it is called the multi-messenger astronomy. The main component in neutron stars is provided by neutron matter, where ¹S₀ and ³P₂ superfluid states of neutrons should be realized at low and high densities, respectively, as the ground state.

The gap with spin 2 for neutron parings give many non-trivial structures: spontaneous magnetization along vortex cores [1], half-quantized non-Abelian vortices [2], the existence of soliton solutions by collective excitations along vortices [3], topological superfluidity accompanied with gapless Majorana fermions on surfaces [4], and so on. 

 In the presentation, we will discuss the effect of strong magnetic fields on neutron ³P₂ superfluids. We will extend the known formalism for ³P₂ superfluids by treating the LS potentials appropriately, and will investigate the phase diagram. We will also discuss possible observations in the multi-messenger astronomy.

 [1] K. Masuda, M. Nitta, Phys. Rev. C93, 035804 (2016).

 [2] K. Masuda, M. Nitta, arXiv:1602.07050 [nucl-th].

 [3] C. Chatterjee, M. Haberichter, M. Nitta, Phys. Rev. C96, 055807 (2017).

 [4] T. Mizushima, K. Masuda, M. Nitta, Phys. Rev. B95, 140503(R) (2017).