Published January 1, 2023 | Version v1
Journal article Open

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

  • 1. Department of Mathematical Sciences, Durham University, Durham, U.K.
  • 2. Osmanağa Mahallesi Vahapbey Sokak No:8 Kadiköy, Istanbul, 34714, Turkey
  • 3. Faculty of Physics, Astronomy and Applied Computer Science, Jagiellonian University, Kraków, Poland
  • 4. Institute of Physics, University of Oldenburg, Oldenburg, D-26111, Germany

Description

We investigate soliton collisions in a one-parameter family of scalar field theories in 1+1 dimensions which was first discussed by Christ and Lee [1]. The models have a sextic potential with three local minima, and for suitably small values of the parameter their 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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