Skyrmions in a magnetic field and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi>π</mml:mi><mml:mn>0</mml:mn></mml:msup></mml:math> domain wall formation in dense nuclear matter

Abstract

We elucidate magnetic effects in the skyrmion system to probe into the dense nuclear matter. We find a deformed ${\ensuremath{\pi}}^{0}$ 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 ${\ensuremath{\pi}}^{0}$ domain wall corresponding to a topological transmutation from ${\ensuremath{\pi}}_{3}({S}^{3})$ to ${\ensuremath{\pi}}_{1}({S}^{1})$. We establish the phase diagram, which could be explored also in analogous systems with two-component Bose-Einstein condensates.

Topics & Concepts