从Skyrmion晶体模型研究磁场对核物质的影响
Magnetic field effect on nuclear matter from skyrmion crystal model
摘要：
本文首次基于Skrymion晶体理论研究了磁场对核物质的影响。发现磁效应对拓扑相变（skyrmion晶体构型从skyrmion相到半skyrmion相的拓扑变形）起催化剂的作用。此外，我们还观察到在磁场存在下，非均匀手征凝聚体同时存在于skyrmion相和半skyrmion相。结果表明，随着磁场强度的增大，skyrmion相中的不均匀手征凝聚体的局域化程度明显增大，而在半skyrmion相中，不均匀手征凝聚体的局域化程度基本不变.在低密度区的强磁效应会使重子的形状变形为椭圆形，但晶体结构是完整的。然而，在高密度区域，晶体结构强烈地受到强磁场的影响。一个可能的手征不均匀性和变形的skrymion配置之间的相关性也得到解决。本文所得到的结果可能在致密星的内部深处实现。
英文摘要：
We explore magnetic field effects on the nuclear matter based on the skrymion crystal approach for the first time. It is found that the magnetic effect plays the role of a catalyzer for the topological phase transition (topological deformation for the skyrmion crystal configuration from the skrymion phase to half-skyrmion phase). Furthermore, we observe that in the presence of the magnetic field, the inhomogeneous chiral condensate persists both in the skyrmion and half-skyrmion phases. Explicitly, as the strength of magnetic field gets larger, the inhomogeneous chiral condensate in the skyrmion phase tends to be drastically localized, while in the half-skyrmion phase the inhomogeneity configuration is hardly affected. It also turns out that a large magnetic effect in a low density region distorts the baryon shape to an elliptic form but the crystal structure is intact. However, in a high density region, the crystal structure is strongly effected by the strong magnetic field. A possible correlation between the chiral inhomogeneity and the deformation of the skrymion configuration is also addressed. The results obtained in this paper might be realized in the deep interior of compact stars.
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