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arXiv · 1803.05272

Vortex Solution of a Twisted Baby Skyrme Equation

Malcolm Anderson·Miftachul Hadi·Andri Husein
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Abstract

We examine non-linear sigma (plus Skyrme term) model in flat space, in particular with a twist, which comprises a twisted baby Skyrmion vortex solution with an added dependence on a twist term $mkz$, where $z$ is the vertical coordinate. We find that the solutions should have asymptotic form. We also find that mass per unit length of string, $\mu$, increases roughly linearly with $\zeta$, where $\zeta=4\lambda^2K_s(mk)^2$, $\lambda$ is scaling constant, $K_s$ is Skyrme term, $m$ is integer and $k$ is wave number.

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Malcolm Anderson, Miftachul Hadi, Andri Husein. 2018-02-05. Vortex Solution of a Twisted Baby Skyrme Equation. https://arxiv.org/abs/1803.05272

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