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