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arXiv · 2407.13225

Stability and decay of composite kinks/$Q$-balls solutions in a deformed $O(2N+1)$ linear sigma model

A. Alonso-Izquierdo·D. Canillas Martinez·C. Garzon Sanchez·M. A. Gonzalez Leon·A. Wereszczynski
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Abstract

The defect-type solutions of a deformed $O(2N+1)$ linear sigma model with a real and $N$ complex fields in $(1+1)$-dimensional Minkowski spacetime are studied. All the solutions are analytically found for the $N=2$ case. Two types of solitons have been determined: (a) Simple solutions formed by a topological kink with or without the presence of a $Q$-ball. (b) Composite solutions. They are constituted by some one-parameter families of solutions which can be understood as a non-linear combination of simple solutions. The properties of all of those solutions and the analysis of their linear stability, as well as decay channels, are discussed.

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A. Alonso-Izquierdo, D. Canillas Martinez, C. Garzon Sanchez, M. A. Gonzalez Leon, A. Wereszczynski. 2024-07-18. Stability and decay of composite kinks/$Q$-balls solutions in a deformed $O(2N+1)$ linear sigma model. https://arxiv.org/abs/2407.13225

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