Wave-Packet Scattering off the Kink-Solution

Abstract

We investigate the propagation of a wave--packet in the ${\varphi }^4$ model. We solve the time-dependent equation of motion for two distinct initial conditions: The wave-packet in a trivial vacuum background and in the background of the kink soliton solution. We extract the scattering matrix from the wave-packet in the kink background at very late times and compare it with the result from static potential scattering in the small amplitude approximation. We vary the size of the initial wave-packet to identify non-linear effects as, for example, the replacement of the center of the kink.

15 pages, 7 figures (from 14 eps files), 4 tables, Int. J. Mod. Phys. A, in print

References in corpus (3)

• Oscillon resonances and creation of kinks in particle collisions
• Numerical Simulation of an Electroweak Oscillon
• Collision of Domain Walls in asymptotically Anti de Sitter spacetime

Cited by in corpus (8)

• Collective Coordinates in One-Dimensional Soliton Models Revisited
• Kink-Antikink Scattering in ϕ^4 and ϕ^6 Models
• Semiclassical description of soliton-antisoliton pair production in particle collisions
• Collective Coordinate Methods and Their Applicability to ${\phi }^4$ Models
• Leading Quantum Correction to the ${\Phi }^4$ Kink Form Factor
• Phonons scattering off discrete asymmetric solitons in the absence of a Peierls-Nabarro potential
• Kink Form Factors
• Form Factors for Meson-Kink Scattering