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arXiv · 2304.11710

Collisions of weakly-bound kinks in the Christ-Lee model

Patrick Dorey·Anastasia Gorina·Tomasz Romańczukiewicz·Yakov Shnir
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Abstract

We investigate soliton collisions a one-parameter family of scalar field theories in 1+1 dimensions which was first discussed by Christ and Lee. The models have a sextic potential with three local minima, and for suitably small values of the parameter its kinks have an internal structure in the form of two weakly-bound subkinks. We show that for these values of the parameter kink collisions are best understood as an independent sequence of collisions of these subkinks, and that a static mode analysis is not enough to explain resonant structures emerging in this model. We also emphasise the role of radiation and oscillon formation in the collision process.

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Patrick Dorey, Anastasia Gorina, Tomasz Romańczukiewicz, Yakov Shnir. 2023-04-23. Collisions of weakly-bound kinks in the Christ-Lee model. https://arxiv.org/abs/2304.11710

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