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arXiv · 0902.4358

Q-ball Scattering on Barriers and Holes in 1 and 2 Spatial Dimensions

Jassem H. Al-Alawi·Wojtek J. Zakrzewski
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Abstract

We discuss various scattering properties of non-topological solitons, Q-balls, on potential obstructions in (1+1) and (2+1) dimensions. These obstructions, barriers and holes, are inserted into the potential of the theory via the coupling parameter, ie \tildeλ, that is effective only in a certain region of space. When \tildeλ> 1 the obstruction is a barrier and when 0 < \tildeλ< 1 the obstruction is a hole. The dynamics of Q-balls on such obstructions in (1+1) dimensions is shown to be very similar to that of topological solitons provided that the Q-balls are stable. In (2+1) dimensions, numerical simulations have shown some differences from the dynamics of topological solitons. We discuss these differences in some detail.

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Jassem H. Al-Alawi, Wojtek J. Zakrzewski. 2009-02-25. Q-ball Scattering on Barriers and Holes in 1 and 2 Spatial Dimensions. https://doi.org/10.1088/1751-8113%2F42%2F24%2F245201

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