Magnetic field effect on nuclear matter from a Skyrmion crystal model

摘要

We explore magnetic field effects on the nuclear matter based on the Skyrmion crystal approach for the first time. It is found that the magnetic effect plays the role of a catalyzer for the topology transition in the baryonic matter. Furthermore, we observe that in the presence of the magnetic field, the inhomogeneous chiral condensate persists in both the Skyrmion and the 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 affected by the strong magnetic field. A possible correlation between the chiral inhomogeneity and the deformation of the Skyrmion configuration is also addressed. The results obtained in this article might be realized in the deep interior of compact stars.