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

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.

26 pages, 22 figures

References in corpus (4)

• Dynamical properties of a Soliton in a Potential Well
• Scattering of Sine-Gordon kinks on potential wells
• Scattering of Topological Solitons on Barriers and Holes in Two λϕ^4 Models
• Scattering of Topological Solitons on Barriers and Holes of Deformed Sine-Gordon Models

Cited by in corpus (1)

• Relativistic head-on collisions of $U(1)$ gauged Q-balls