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arXiv · 2005.00018

The Dielectric Skyrme model

C. Adam·K. Oles·A. Wereszczynski
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Abstract

We consider a version of the Skyrme model where both the kinetic term and the Skyrme term are multiplied by field-dependent coupling functions. For suitable choices, this "dielectric Skyrme model" has static solutions saturating the pertinent topological bound in the sector of baryon number (or topological charge) $B=\pm 1$ but not for higher $|B|$. This implies that higher charge field configurations are unbound, and loosely bound higher skyrmions can be achieved by small deformations of this dielectric Skyrme model. We provide a simple and explicit example for this possibility. Further, we show that the $|B|=1$ BPS sector continues to exist for certain generalizations of the model like, for instance, after its coupling to a specific version of the BPS Skyrme model, i.e., the addition of the sextic term and a particular potential.

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C. Adam, K. Oles, A. Wereszczynski. 2020-04-30. The Dielectric Skyrme model. https://doi.org/10.1016/j.physletb.2020.135560

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