Topological aspects in a two component Bose condensed system in neutron star

TL;DR

This paper explores the topological properties of vortex lines in a two-component Bose condensed system within neutron stars, using gauge potential and topological current theories to characterize their topological charges.

Contribution

It introduces a topological framework for analyzing vortex lines in neutron star matter, applying Duan's theories to characterize their topological charges.

Findings

Vortex lines in neutron star superfluid systems possess quantized topological charges.

Topological charge of vortex lines characterized by Hopf indices and Brouwer degrees.

The study provides a theoretical basis for understanding vortex structures in neutron star interiors.

Abstract

By making use of Duan-Ge's decomposition theory of gauge potential and the Duan's topological current theory proposed by Prof. Duan Yi-Shi, we study a two component superfluid Bose condensed system, which is supposed being realized in the interior of neutron stars in the form of a coexistent neutron superfluid and protonic superconductor. We propose that this system possesses vortex lines. The topological charge of the vortex lines are characterized by the Hopf indices and the Brower degrees of $\phi$-mapping.