Friday, August 24, 2012

1208.4747 (A. R. Gomes et al.)

Highly interactive kink solutions    [PDF]

A. R. Gomes, R. Menezes, J. C. R. E. Oliveira
In this work we present a new class of real scalar field models admitting strongly interactive kink solutions. Instead of the usual exponential asymptotic behavior these topological solutions exhibit a power-law one. We investigate the interaction force between a pair of kink/anti-kink solutions both analytically and numerically, by integrating the time dependent field equations of the model. Furthermore, working within the first-order framework, we analyze the linear stability of these solutions. The stability analysis leads to Sch\"odinger-like equations with potentials which, despite admitting no bound states, lead to strong resonance peaks. We argue that these properties are important for some possible physical applications.
View original: http://arxiv.org/abs/1208.4747

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