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arXiv · 2405.20249

Collective Coordinate Models for 2-Vortex Shape Mode Dynamics

A. Alonso-Izquierdo·N. S. Manton·J. Mateos Guilarte·A. Wereszczynski
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Abstract

Models are developed for the motion of charge-2 Abelian Higgs vortices through the 2-vortex moduli space $M$, with the vortices excited by their shape mode oscillations. The models simplify to the well-known geodesic flow on $M$, modified by a potential, when the mode oscillations are fast relative to the moduli space motion and their amplitudes are small. When the lowest-frequency mode is excited with a large amplitude, the geodesic flow is not a correct description. Instead, a chaotic, or even fractal, multi-bounce structure in vortex-vortex collisions is predicted.

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A. Alonso-Izquierdo, N. S. Manton, J. Mateos Guilarte, A. Wereszczynski. 2024-05-30. Collective Coordinate Models for 2-Vortex Shape Mode Dynamics. https://doi.org/10.1103/physrevd.110.085006

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