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 $\phi$-mapping.
Received: 14 October 2008
Revised: 16 March 2009
Accepted manuscript online:
PACS:
97.60.Jd
(Neutron stars)
Fund: Project supported by the National
Natural Science Foundation of China (Grant No 10275030) and Cuiying
Project of Lanzhou University (Grant No 225000-582404).
Cite this article:
Ren Ji-Rong(任继荣) and Guo Heng(郭恒) Topological aspects in a two-component Bose condensed system in neutron star 2009 Chin. Phys. B 18 3379
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