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

TL;DR

This paper investigates magnetic effects on skyrmions in dense nuclear matter, revealing a phase transition to a $b0^0$ domain wall and establishing a phase diagram relevant to both nuclear physics and Bose-Einstein condensates.

Contribution

It introduces a novel analysis of magnetic effects on skyrmion structures and identifies a topological phase transition in dense nuclear matter.

Findings

Deformation of $b0^0$ dipole structure by magnetic field

Quantized magnetic flux in skyrmion layers

Phase transition from crystalline state to $b0^0$ domain wall

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.