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arXiv · 2104.11482

Skyrmions in a magnetic field and $\pi^0$ domain wall formation in dense nuclear matter

Shi Chen·Kenji Fukushima·Zebin Qiu
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Abstract

We elucidate magnetic effects in the skyrmion system to probe into the dense nuclear matter. We find a deformed $\pi^0$ dipole structure of a baryon induced by a magnetic field. We then extend our scope to stacked Skyrme crystal layers to scrutinize phases of magnetized nuclear matter. We observe a quantized magnetic flux and identify a phase transition from a crystalline state to a $\pi^0$ domain wall corresponding to a topological transmutation from $\pi_3(S^3)$ to $\pi_1(S^1)$. We establish the phase diagram, which could be explored also in analogous systems with two-component Bose-Einstein condensates.

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Shi Chen, Kenji Fukushima, Zebin Qiu. 2021-04-23. Skyrmions in a magnetic field and $\pi^0$ domain wall formation in dense nuclear matter. https://doi.org/10.1103/physrevd.105.l011502

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