Collective excitations of a quantized vortex in $^3P_2$ superfluids in neutron stars

TL;DR

This paper investigates the collective excitations of quantized vortices in neutron star superfluids, revealing new modes and their effects on vortex magnetization, with implications for neutron star physics.

Contribution

It introduces a novel gapfull excitation mode described by a double sine-Gordon model and analyzes its impact on vortex magnetization in neutron star superfluids.

Findings

Identification of a gapfull mode in vortex excitations

Derivation of a double sine-Gordon model for low-energy dynamics

Analysis of spontaneous magnetization effects inside vortex cores

Abstract

We discuss collective excitations (both fundamental and solitonic excitations) of quantized superfluid vortices in neutron $^3P_2$ superfluids, which likely exist in high density neutron matter such as neutron stars. Besides the well-known Kelvin modes (translational zero modes), we find a gapfull mode whose low-energy description takes the simple form of a double sine-Gordon model. The associated kink solution and its effects on spontaneous magnetization inside the vortex core are analyzed in detail.