= Rotating charged kink in a spherical sigma model
{title2=$M=m\sqrt{r^2+Q_0^2}$}
= Q-kink in a spherical sigma model
{c}
{synonym}
= Dyonic kink in a spherical sigma model
{synonym}
For $\alpha=\omega t+\alpha_0$ and $|\omega|<m$, the <kink> is $\phi=2\arctan e^{\kappa(x-x_0)}$ with $\kappa=\sqrt{m^2-\omega^2}$. Its rest <energy> and mechanical internal charge are $M=rm^2/\kappa$ and $Q_0=r\omega/\kappa$. Eliminating the frequency gives the displayed <mass> relation. The orientation rotates while the <energy> profile remains stationary.
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